Preprint
2024
Repository Open Access
Subdivisions of hypersimplices : with a view toward finite metric spaces
Preprint
2023
Repository Open Access
Order and chain polytopes of maximal ranked posets
inJournal
2023
Journal Open Access
Algebraic and geometric computations in OSCAR
In: SIAM news, 56 (2023) 7, pp. 9-10Preprint
2023
Repository Open Access
Polyhedral geometry in OSCAR
inBook
2023
Generalised cone complexes and tropical moduli in \(\texttt{polymake}\)
In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)New York : ACM, 2023. - pp. 100-106
inJournal
2023
Journal Open Access
Asymmetric tropical distances and power diagrams
In: Algebraic combinatorics, 6 (2023) 5, pp. 1211-1234inJournal
2023
Journal Open Access
Tropical medians by transportation
In: Mathematical programming, (2023)Preprint
2023
Repository Open Access
Quantum automorphisms of matroids
Preprint
2023
Repository Open Access
A FAIR file format for mathematical software
inJournal
2023
Journal Open Access
Master regulators of biological systems in higher dimensions
In: Proceedings of the National Academy of Sciences of the United States of America, 120 (2023) 51, e2300634120Preprint
2023
Repository Open Access
\(\texttt{polymake}\) (version 3.4) : a software package for analyzing convex polytopes and more ; open source software, presented at the mathematical software sessions of ICM 1998 (Berlin), ECM 2000 (Barcelona) and elsewhere
inJournal
2023
Journal Open Access
Convergent Hahn series and tropical geometry of higher rank
In: The journal of the London Mathematical Society, 107 (2023) 4, pp. 1450-1481inJournal
2023
Journal Open Access
Generalized permutahedra and positive flag Dressians
In: International mathematics research notices, 2023 (2023) 19, pp. 16748-16777inJournal
2023
Journal Open Access
Some thoughts and experiments on Bergman's compact amalgamation problem
In: Beiträge zur Algebra und Geometrie, (2023)inBook
2023
Repository Open Access
The polyhedral geometry of truthful auctions
In: Integer programming and combinatorial optimization : 24th International Conference, IPCO 2023, Madison, WI, USA, June 21-23, 2023, proceedings / Alberto Del Pia... (eds.)Cham : Springer, 2023. - pp. 231-245
(Lecture notes in computer science ; 13904)
inJournal
2022
Journal Open Access
Algebraic degrees of 3-dimensional polytopes
In: Vietnam journal of mathematics, 50 (2022) 3, pp. 581-597inJournal
2022
Journal Open Access
Tropical bisectors and Voronoi diagrams
In: Foundations of computational mathematics, 22 (2022) 6, pp. 1923-1960inJournal
2022
Journal Open Access
Computing Galois groups of Ehrhart polynomials in OSCAR
In: Séminaire lotharingien de combinatoire, 86B (2022), p. 87inJournal
2022
'Mathematik ist modern, wenn sie mit der Zeit geht' : ein Interview mit Martin Grötschel
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 30 (2022) 1, pp. 38-42Book
2022
Essentials of tropical combinatorics
Providence, R.I. : American Mathematical Society, 2022. - XX, 398(Graduate studies in mathematics ; 219)
ISBN: 978-1-4704-6741-8, ISBN: 978-1-4704-6740-1, ISSN: 1065-7339
inJournal
2022
Journal Open Access
Frontiers of sphere recognition in practice
In: Journal of applied and computational topology, 6 (2022) 4, pp. 503-527inJournal
2022
Repository Open Access
Generalized permutahedra and optimal auctions
In: SIAM journal on applied algebra and geometry, 6 (2022) 4, pp. 711-739inBook
2022
Repository Open Access
Generalized permutahedra and positive flag Dressians
In: Discrete mathematics days 2022 / Luis Felipe Tabera (ed.)Santander, Spain : Editorial Universidad de Cantabria, 2022. - pp. 163-168
inJournal
2022
Repository Open Access
Parametric shortest-path algorithms via tropical geometry
In: Mathematics of operations research, 47 (2022) 3, pp. 1707-2545inJournal
2022
Journal Open Access
Subdivisions of generalized permutahedra
In: Séminaire lotharingien de combinatoire, 86B (2022), p. 53inJournal
2021
Repository Open Access
What tropical geometry tells us about the complexity of linear programming
In: SIAM review, 63 (2021) 1, pp. 123-164Preprint
2021
Repository Open Access
Stacky fans and tropical moduli in polymake
inJournal
2021
Journal Open Access
Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and computational geometry, 64 (2020) 2, p. 355-381]
In: Discrete and computational geometry, 66 (2021) 4, pp. 1217-1217inJournal
2021
Journal Open Access
Forbidden patterns in tropical plane curves
In: Beiträge zur Algebra und Geometrie, 62 (2021) 1, pp. 65-81inJournal
2021
Journal Open Access
The international congress on mathematical software goes virtual : experience from organizing an online conference in times of COVID-19
In: Notices of the American Mathematical Society, 68 (2021) 6, pp. 938-939Book
2020
Mathematical software ICMS 2020 : 7th international conference, Braunschweig, Germany, July 13-16, 2020, proceedings
Cham : Springer, 2020.(Lecture Notes in computer science / Theoretical computer science and general issues ; 12097)
ISBN: 978-3-030-52199-8, ISBN: 978-3-030-52200-1, ISSN: 0302-9743
Preprint
2020
Repository Open Access
Random growth on a Ramanujan graph
inJournal
2020
Repository Open Access
Semi-automatically optimized calibration of internal combustion engines
In: Optimization and engineering, 21 (2020) 1, pp. 73-106Preprint
2020
Repository Open Access
\(\texttt{mptopcom}\) (2018-2020) : open source software for the parallel enumeration of triangulations
Preprint
2020
Repository Open Access
Geometric disentanglement by random convex polytopes
inJournal
2020
Repository Open Access
Monomial tropical cones for multicriteria optimization
In: SIAM journal on discrete mathematics, 34 (2020) 2, pp. 1172-1191inBook
2020
Repository Open Access
Real tropical hyperfaces by patchworking in \(\texttt{polymake}\)
In: Mathematical software ICMS 2020 : 7th international conference, Braunschweig, Germany, July 13-16, 2020, proceedings / Anna M. Bigatti... (eds.)Cham : Springer, 2020. - pp. 202-211
(Lecture notes in computer science ; 12097)
inJournal
2020
Repository Open Access
Secondary fans and secondary polyhedra of punctured Riemann surfaces
In: Experimental mathematics, 29 (2020) 4, pp. 426-442inJournal
2020
Journal Open Access
The Schläfli fan
In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381Preprint
2019
Repository Open Access
Long and winding central paths
inJournal
2019
Repository Open Access
Cluster partitions and fitness landscapes of the Drosophila fly microbiome
In: Journal of mathematical biology, 79 (2019) 3, pp. 861-899inJournal
2019
Repository Open Access
Algorithms for tight spans and tropical linear spaces
In: Journal of symbolic computation, 91 (2019), pp. 116-128inBook
2019
Repository Open Access
Monomial tropical cones for multicriteria optimization
In: Proceedings LeGO : 14th international global optimization workshop : Leiden, The Netherlands, 18-21 September 2018 / Michael T. M. Emmerich (ed.)Melville, New York : AIP Publishing, 2019. - p. 020025
(AIP conference proceedings ; 2070)
inJournal
2019
Repository Open Access
Tropical Voronoi diagrams [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2444-2446inJournal
2018
Repository Open Access
Log-barrier interior point methods are not strongly polynomial
In: SIAM journal on applied algebra and geometry, 2 (2018) 1, pp. 140-178inJournal
2018
Repository Open Access
Webs of stars or how to triangulate free sums of point configurations
In: Journal of combinatorial theory / A, 159 (2018), pp. 183-214inJournal
2018
Journal Open Access
Parallel enumeration of triangulations
In: The electronic journal of combinatorics, 25 (2018) 3, P3.6inJournal
2018
Diskussion [Mitteilungen der DMV 26(2018)1]
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 26 (2018) 2-3, pp. 54-54inBook
2018
Repository Open Access
New counts for the number of triangulations of cyclic polytopes
In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.)Cham : Springer, 2018. - pp. 264-271
(Lecture notes in computer science ; 10931)
inBook
2018
Software
In: Handbook of discrete and computational geometry / Jacob E. Goodman... (eds.)Boca Raton, FL : CRC Press, 2018. - pp. 1779-1798
(Discrete mathematics and its applications)
inJournal
2018
Repository Open Access
The degree of a tropical basis
In: Proceedings of the American Mathematical Society, 146 (2018) 3, pp. 961-970inJournal
2018
Tropische Geometrie, lineare Optimierung und Netzwerke
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 26 (2018) 4, pp. 167-169inJournal
2017
Repository Open Access
Computing convex hulls and counting integer points with \(\texttt{polymake}\)
In: Mathematical programming computation, 9 (2017) 1, pp. 1-38inJournal
2017
Journal Open Access
A tropical isoperimetric inequality
In: Séminaire lotharingien de combinatoire, 78B (2017), p. 27inJournal
2017
Journal Open Access
Algorithms and effectivity in tropical mathematics and beyond : Dagstuhl Seminar 16482
In: Dagstuhl reports, 6 (2017) 11, pp. 168-184inBook
2017
Repository Open Access
Tropical computations in \(\texttt{polymake}\)
In: Algorithmic and experimental methods in algebra, geometry, and number theory / Gebhard Böckle... (eds.)Cham : Springer, 2017. - pp. 361-385
inBook
2017
Journal Open Access
MatchTheNet : an educational game on 3-dimensional polytopes
In: 33rd international symposium on computational geometry, SoCG 2017, Brisbane, Australia, July 4-7, 2017 ; proceedings / Boris Aronov... (eds.)Wadern : Schloss Dagstuhl, Leibniz Zentrum für Informatik, 2017. - 66:1-66:5
inJournal
2017
Repository Open Access
Matroids from hypersimplex splits
In: Journal of combinatorial theory / A, 151 (2017), pp. 254-284inBook
2017
Repository Open Access
The Cayley trick for tropical hypersurfaces with a view toward Ricardian economics
In: Homological and computational methods in commutative algebra : dedicated to Winfried Bruns on the occasion of his 70th birthday / Aldo Conca... (eds.)Cham : Springer, 2017. - pp. 107-128
(Springer INdAM series ; 20)
inBook
2016
Repository Open Access
The \(\texttt{polymake}\) XML file format
In: Mathematical software ICMS 2016 : 5th international conference, South Bend, IN, USA, July 11-14, 2016, proceedings / Gert-Martin Greuel... (eds.)Cham : Springer, 2016. - pp. 403-410
(Lecture notes in computer science ; 9725)
Preprint
2016
Repository Open Access
\(\texttt{MatchTheNet}\) : an educational game on 3-dimensional polytopes ; open source software
inJournal
2016
Book review of: Diane Maclagan and Bernd Sturmfels 'Introduction to tropical geometry'
In: Jahresbericht der Deutschen Mathematiker-Vereinigung, 118 (2016) 3, pp. 233-237inBook
2016
Journal Open Access
DGD gallery : storage, sharing, and publication of digital research data
In: Advances in discrete differential geometry / Alexander I. Bobenko (ed.)Berlin : Springer, 2016. - pp. 421-439
inJournal
2016
Editorial
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 24 (2016) 3, pp. 125-125inJournal
2016
Interview mit Friedrich Götze und Thomas Peternell
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 24 (2016) 2, pp. 84-88inJournal
2016
Jugendstreich einer Fields-Medaillistin : mathematische Unterhaltungen ; Maryam Mirzakhani, die erste Frau, die je mit der Fields-Medaille ausgezeichnet wurde, hat 1996 als 19-Jährige ein Ergebnis erzielt, das bis heute Bestand hat
In: Spektrum der Wissenschaft, 2016 (2016) 10, pp. 76-79inJournal
2016
Leibniz und der Garten
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 24 (2016) 3, pp. 163-166inBook
2016
Repository Open Access
Linear programs and convex hulls over fields of Puiseux fractions
In: Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / Ilias S. Kotsireas... (eds.)Cham : Springer, 2016. - pp. 429-445
(Lecture notes in computer science ; 9582)
inJournal
2016
Repository Open Access
Rigid multiview varieties
In: International journal of algebra and computation, 26 (2016) 4, pp. 775-788inJournal
2016
Repository Open Access
Weighted digraphs and tropical cones
In: Linear algebra and its applications, 501 (2016), pp. 304-343inJournal
2015
Repository Open Access
Tropicalizing the simplex algorithm
In: SIAM journal on discrete mathematics, 29 (2015) 2, pp. 751-795inJournal
2015
Journal Open Access
Moduli of tropical plane curves
In: Research in the mathematical sciences, 2 (2015) 1, p. 4inJournal
2015
Editorial
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 23 (2015) 4, pp. 193-193inJournal
2015
Repository Open Access
Long and winding central paths [In: Geometric and algebraic combinatorics ; 1 February - 7 February 2015 ; report no. 5/2015]
In: Oberwolfach reports, 12 (2015) 1, pp. 307-309inJournal
2015
Über die Anfänge einer Fields-Medaillistin
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 23 (2015) 1, pp. 43-45inJournal
2015
Repository Open Access
Webs of stars or how to triangulate free sums of point confgurations [In: Computational geometric and algebraic topology ; 11 October - 17 October 2015 ; report no. 45/2015]
In: Oberwolfach reports, 12 (2015) 4, pp. 2660-2662inJournal
2014
Repository Open Access
Combinatorial simplex algorithms can solve mean payoff games
In: SIAM journal on optimization, 24 (2014) 4, pp. 2096-2117inJournal
2014
Repository Open Access
Smooth Fano polytopes with many vertices
In: Discrete and computational geometry, 52 (2014) 2, pp. 153-194inJournal
2014
Repository Open Access
Dressians, tropical Grassmannians, and their rays
In: Forum mathematicum, 26 (2014) 6, pp. 1853-1881inJournal
2014
''Wer heute Mathematik studiert, hat beste Chancen'' Im Gespräch : Bundesbildungsministerin Johanna Wanka
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 22 (2014) 2, pp. 77-79inJournal
2014
Editorial
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 22 (2014) 4, pp. 193-193inJournal
2014
Repository Open Access
Foldable triangulations of lattice polygons
In: The American mathematical monthly, 121 (2014) 8, pp. 706-710inBook
2014
Repository Open Access
Heuristics for sphere recognition
In: Mathematical software ICMS 2014 : 4th international conference, Seoul, South Korea, August 5-9, 2014, proceedings / Hoon Hong... (eds.)Berlin : Springer, 2014. - pp. 152-159
(Lecture notes in computer science ; 8592)
inJournal
2014
Laudatio auf Sven Preger : DMV Journalistenpreis 2013
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 22 (2014) 1, pp. 41-41inJournal
2014
Neue Bücher aus Oberwolfach
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 22 (2014) 1, pp. 12-12inBook
2013
Journal Open Access
On a classification of smooth Fano polytopes
In: Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24-28, 2013Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2013. - pp. 421-432
(DMTCS proceedings)
inJournal
2013
Repository Open Access
Algorithms for highly symmetric linear and integer programs
In: Mathematical programming, 137 (2013) 1-2, pp. 65-90inJournal
2013
Repository Open Access
Computing the bounded subcomplex of an unbounded polyhedron
In: Computatinal geometry, 46 (2013) 5, pp. 541-551Book
2013
Polyhedral and algebraic methods in computational geometry
London : Springer, 2013. - x, 250(Universitext)
ISBN: 978-1-4471-4816-6, ISBN: 978-1-4471-4817-3
inJournal
2013
Journal Open Access
Torische Geometrie mit \(\texttt{polymake}\)
In: Computeralgebra-Rundbrief, 52 (2013), pp. 13-17inJournal
2012
Repository Open Access
Tropical types and associated cellular resolutions
In: Journal of algebra, 356 (2012) 1, pp. 304-324inJournal
2012
Erratum zu: 'Polytope mit vielen Splits und ihre Sekundärfächer' [In: Mathematische Semesterberichte 59 (2012) 2, p. 145-152]
In: Mathematische Semesterberichte, 59 (2012) 2, pp. 153-153inBook
2012
Journal Open Access
From Kepler to Hales, and back to Hilbert
In: Optimization stories : 21st international symposium on mathematical programming, Berlin, August 19 - 24, 2012 / Martin Grötschel (ed.)Bielefeld : Deutsche Mathematiker-Vereinigung, 2012. - pp. 439-446
(Documenta mathematica : extra volume ; 2012)
inJournal
2012
Polytope mit vielen Splits und ihre Sekundärfächer
In: Mathematische Semesterberichte, 59 (2012) 2, pp. 145-152inJournal
2012
Repository Open Access
Triangulations of products of simplices with a view towards tropical geometry [In: Triangulations ; 29 April - 5 May 2012 ; report no. 24/2012]
In: Oberwolfach reports, 9 (2012) 2, pp. 1415-1416inJournal
2011
Auf der Suche nach der Mathematik der Anna Depenbusch
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 19 (2011) 1, pp. 48-48inJournal
2011
Repository Open Access
Computing bounded subcomplexes of unbounded polyhedra [In: Topological and geometric combinatorics ; 6 February - 12 February 2011 ; report no. 08/2011]
In: Oberwolfach reports, 8 (2011) 1, pp. 376-377inJournal
2011
Repository Open Access
Defect polytopes and counter-examples with \(\texttt{polymake}\)
In: ACM Communications in computer algebra, 45 (2011) 3/4, pp. 177-179Book
2010
Mathematical software ICMS 2010 : 3rd international conference on mathematical software, Kobe, Japan, September 13-17, 2010, proceedings
Berlin : Springer, 2010. - xvi, 368(Lecture notes in computer science ; 6327)
ISBN: 978-3-642-15581-9, ISBN: 978-3-642-15582-6, ISSN: 0302-9743
inJournal
2010
Repository Open Access
Drawing polytopal graphs with \(\texttt{polymake}\)
In: Computing and visualization in science, 13 (2010) 2, pp. 99-110inJournal
2010
Repository Open Access
Totally splittable polytopes
In: Discrete and computational geometry, 44 (2010) 1, pp. 149-166inJournal
2010
Repository Open Access
Tropical and ordinary convexity combined
In: Advances in geometry, 10 (2010) 2, pp. 333-352inJournal
2009
Journal Open Access
How to draw tropical planes
In: The electronic journal of combinatorics, 16 (2009) 2, R6inBook
2009
Journal Open Access
\(\texttt{polymake}\) and lattice polytopes
In: Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20-24, 2009Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2009. - pp. 491-502
(DMTCS proceedings)
inBook
2009
Repository Open Access
Tropical convex hull computations
In: Tropical and idempotent mathematics : international workshop TROPICAL-07, Moscow, Russia, August 25-30, 2007 / Grigory L. Litvinov... (eds.)Providence, Rhode Island : American Mathematical Society, 2009. - pp. 193-212
(Contemporary mathematics ; 495)
inJournal
2009
Wer zahlt gewinnt
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 17 (2009) 1, pp. 38-40inJournal
2008
Repository Open Access
Splitting polytopes
In: Münster journal of mathematics, 1 (2008) 1, pp. 109-142Book
2008
Algorithmische Geometrie : polyedrische und algebraische Methoden
Wiesbaden : Vieweg Teubner, 2008. - x, 265ISBN: 978-3-8348-0281-1, ISBN: 978-3-8348-9440-3
inJournal
2008
What are higher-dimensional trees, and how do they look like? [In: Discrete geometry ; 21 September - 27 September 2008 ; report no. 44/2008]
In: Oberwolfach reports, 5 (2008) 4, pp. 2528-2530inJournal
2007
Repository Open Access
Affine buildings and tropical convexity
In: Albanian journal of mathematics, 1 (2007) 4, pp. 187-211inJournal
2007
Journal Open Access
Bounds on the 𝑓-vectors of tight spans
In: Contributions to discrete mathematics, 2 (2007) 2, pp. 161-184inJournal
2007
Repository Open Access
Neighborly cubical polytopes and spheres
In: Israel journal of mathematics, 159 (2007) 1, pp. 221-242inJournal
2007
Repository Open Access
Products of foldable triangulations
In: Advances in mathematics, 210 (2007) 2, pp. 769-796inJournal
2007
Products of foldable triangulations and real roots of polynomial systems [In: Geometric and topological combinatorics ; 28 January - 3 February 2007 ; report no. 4/2007]
In: Oberwolfach reports, 4 (2007) 1, pp. 224-226inJournal
2007
Tropical and ordinary convexity combined [In: Tropical geometry ; 9 December - 15 December 2007 ; report no. 57/2007]
In: Oberwolfach reports, 4 (2007) 4, pp. 3266-3268inBook
2006
Flexible object hierarchies in \(\texttt{polymake}\) (extended abstract)
In: Mathematical software ICMS 2006 : Second international conference on mathematical software, Castro Urdiales, Spain, September 1-3, 2006, proceedings / Andrés Iglesias... (eds.)Berlin : Springer, 2006. - pp. 219-221
(Lecture notes in computer science ; 4151)
inJournal
2006
An approach to combinatorial holonomy [In: Discrete differential geometry ; 5 March - 11 March ; report no. 12/2006]
In: Oberwolfach reports, 3 (2006) 1, pp. 718-721inJournal
2006
Repository Open Access
Computing optimal Morse matchings
In: SIAM journal on discrete mathematics, 20 (2006) 1, pp. 11-25inJournal
2005
Repository Open Access
Complexes of discrete Morse functions
In: Discrete mathematics, 302 (2005) 1-3, pp. 39-51inBook
2005
Journal Open Access
Geometric reasoning with \(\texttt{polymake}\)
In: Forschung und wissenschaftliches Rechnen 2005 : Beiträge zum Heinz-Billing-Preis 2005 / Kurt Kremer... (eds.)Göttingen : Gesellschaft für wissenschaftliche Datenverarbeitung, 2005. - pp. 37-52
(GWDG-Bericht ; 69)
inJournal
2005
Repository Open Access
One-point suspensions and wreath products of polytopes and spheres
In: Journal of combinatorial theory / A, 110 (2005) 2, pp. 193-216inBook
2005
Polytope propagation on graphs
In: Algebraic statistics for computational biology / Lior Pachter... (eds.)Cambridge : Cambridge University Press, 2005. - pp. 181-192
inBook
2005
Publication of electronic geometry models
In: Mathematics and culture II - Visual perfection : mathematics and creativity / Michele Emmer (ed.)Berlin : Springer, 2005. - pp. 151-162
inBook
2005
Repository Open Access
Tropical halfspaces
In: Combinatorial and computational geometry / Jacob Eli Goodman... (eds.)Cambridge : Cambridge University Press, 2005. - pp. 409-431
(Mathematical sciences research institute publications ; 52)
Preprint
2004
Repository Open Access
Computing invariants of simplicial manifolds
inJournal
2004
Computing optimal discrete Morse functions [In special issue: Workshop on graphs and combinatorial optimization]
In: Electronic notes in discrete mathematics, 17 (2004), pp. 191-195inJournal
2004
Repository Open Access
Convex hulls, oracles, and homology
In: Journal of symbolic computation, 38 (2004) 4, pp. 1247-1259inBook
2004
Software
In: Handbook of discrete and computational geometry / Jacob E. Goodman... (eds.)Boca Raton, FL : CRC Press, 2004. - pp. 1415-1433
(Discrete mathematics and its applications)
inJournal
2003
Repository Open Access
Branched coverings, triangulations, and 3-manifolds
In: Advances in geometry, 3 (2003) 2, pp. 191-225inJournal
2003
Journal Open Access
\(\texttt{polymake}\)
In: Computeralgebra-Rundbrief, 33 (2003), pp. 15-16Book
2003
Algebra, geometry, and software systems
Berlin : Springer, 2003. - xiii, 329ISBN: 978-3-642-05539-3, ISBN: 978-3-662-05148-1
inBook
2003
Repository Open Access
Beneath-and-beyond revisited
In: Algebra, geometry, and software systems / Michael Joswig... (eds.)Berlin : Springer, 2003. - pp. 1-21
inBook
2002
Repository Open Access
EG-Models : a new journal for digital geometry models
In: Multimedia tools for communicating mathematics / Jonathan Borwein... (eds.)Berlin : Springer, 2002. - pp. 165-190
(Mathematics and visualization)
inJournal
2002
Repository Open Access
On the \(\mathscr {k}\)-systems of a simple polytope
In: Israel journal of mathematics, 129 (2002) 1, pp. 109-117inJournal
2002
Repository Open Access
Projectivities in simplicial complexes and colorings of simple polytopes
In: Mathematische Zeitschrift, 240 (2002) 2, pp. 243-259inBook
2002
Software integration and computer proofs
In: Mathematical software ICMS 2002 : First international conference on mathematical software, Beijing, China, August 17-19, 2002, proceedings / Arjeh M. Cohen... (eds.)New Jersey : World Scientific, 2002. - pp. 15-28
inBook
2001
\(\texttt{polymake}\) : an approach to modular software design in computational geometry
In: Proceedings of the 17th annual symposium on computational geometry, SCG/SoCG 2001, Medford, MA, USA, June 3-5, 2001 / Diane L. Souvaine (ed.)New York : ACM, 2001. - pp. 222-231
inJournal
2001
The group of projectivities and colouring of the facets of a simple polytope
In: Russian mathematical surveys, 56 (2001) 3, pp. 584-585inJournal
2001
The group of projectivities and colouring of the facets of a simple polytope
In: Uspechi matematiceskich nauk, 56 (2001) 3, pp. 171-172inJournal
2001
Repository Open Access
Vertex-facet incidences of unbounded polyhedra
In: Advances in geometry, 1 (2001) 1, pp. 23-36inBook
2000
\(\texttt{polymake}\) : a framework for analyzing convex polytopes
In: Polytopes : combinatorics and computation / Gil Kalai... (eds.)Basel : Birkhäuser, 2000. - pp. 43-73
(DMV Seminar ; 29)
inJournal
2000
Repository Open Access
A neighborly cubical 4-polytope
In: EG-models - a new archive of electronic geometry models, 2000 (2000), 2000.05.003inJournal
2000
Repository Open Access
Ambiguous incidences of unbounded polyhedra
In: EG-models - a new archive of electronic geometry models, 2000 (2000), 2000.05.001inJournal
2000
Compact connected translation generalized quadrangles
In: Results in mathematics, 38 (2000) 1-2, pp. 72-87inJournal
2000
Journal Open Access
Digital models and computer assisted proofs
In: EMS newsletter, 38 (2000) 4, pp. 30-30inJournal
2000
Repository Open Access
Goldfarb's cube
In: EG-models - a new archive of electronic geometry models, 2000 (2000), 2000.09.030inJournal
2000
Mathematica 4.0
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 8 (2000) 1, pp. 52-53inJournal
2000
Repository Open Access
Neighborly cubical polytopes
In: Discrete and computational geometry, 24 (2000) 2-3, pp. 325-344inBook
2000
Repository Open Access
Reconstructing a non-simple polytope from its graph
In: Polytopes : combinatorics and computation / Gil Kalai... (eds.)Basel : Birkhäuser, 2000. - pp. 167-176
(DMV Seminar ; 29)
inJournal
2000
www.eg-models.de : Digitale geometrische Modelle
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 8 (2000) 4, pp. 20-22inJournal
1999
Pseudo-ovals, elation Laguerre planes, and translation generalized quadrangles
In: Beiträge zur Algebra und Geometrie, 40 (1999) 1, pp. 141-152Preprint
1999
Repository Open Access
Randomized simplex algorithms and random cubes : extended abstract
inJournal
1998
Correction: 'Generalized polygons with highly transitive collineation groups' [Geom. Dedicata 58 (1995), no. 1, 91-100]
In: Geometriae dedicata, 72 (1998) 2, pp. 217-220inJournal
1998
Repository Open Access
Isotopy of polygonal domains for generalized polygons
In: European journal of combinatorics, 19 (1998) 2, pp. 151-158inJournal
1998
On the numerical range map
In: Journal of the Australian Mathematical Society / A, 65 (1998) 2, pp. 267-283inJournal
1996
Deciding the exactness of sequences of finitely generated Abelian groups
In: RISC publications and technical reports, 1996 (1996), pp. 96-22inJournal
1996
Quadratic forms : lecture notes for a course given at Johannes-Kepler-Universität Linz
In: RISC publications and technical reports, 1996 (1996), pp. 96-23inBook
1996
Towards modelling the topology of homogeneous manifolds by means of symbolic computation
In: Artificial intelligence and symbolic mathematical computation : international conference, AISMC-3, Steyr, Austria, September 23-25, 1996 : proceedings / Jacques Calmet... (eds.)Berlin : Springer, 1996. - pp. 258-273
(Lecture notes in computer science ; 1138)
inJournal
1996
Translation generalized quadrangles
In: Archiv der Mathematik, 67 (1996) 3, pp. 253-264inJournal
1995
An essay on the Ree octagons
In: Journal of algebraic combinatorics, 4 (1995) 2, pp. 145-164inJournal
1995
Generalized polygons with highly transitive collineation groups
In: Geometriae dedicata, 58 (1995) 1, pp. 91-100inJournal
1994
Repository Open Access
Slanted symplectic quadrangles
In: Geometriae dedicata, 49 (1994) 2, pp. 143-154inJournal
1993
Tables for an effective enumeration of real representations of quasi-simple Lie groups
In: Journal of lie theory, 3 (1993) 2, pp. 239-253Preprint
1992
Repository Open Access
RealLie : open source software for the representation theory of real Lie algebras
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