Minerva group - Spectral Hypergraph Theory

Head:
Raffaella Mulas (Email)

Phone:
+49 (0) 341 - 9959 - 547

Fax:
+49 (0) 341 - 9959 - 658

Address:
Inselstr. 22
04103 Leipzig

Publications Raffaella Mulas

Journal Articles

Tobias Böhle ; Christian Kuehn ; Raffaella Mulas and Jürgen Jost: Coupled hypergraph maps and chaotic cluster synchronization
Repository Open Access

Francesco Galuppi ; Raffaella Mulas and Lorenzo Venturello: Spectral theory of weighted hypergraphs via tensors
In: Linear and multilinear algebra, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1080/03081087.2022.2030659 ARXIV: https://arxiv.org/abs/2106.00277
Repository Open Access

Raffaella Mulas ; Christian Kuehn ; Tobias Böhle and Jürgen Jost: Random walks and Laplacians on hypergraphs : When do they match?
In: Discrete applied mathematics, 317 (2022) 2, p. 26-41
Bibtex DOI: 10.1016/j.dam.2022.04.009 ARXIV: https://arxiv.org/abs/2106.11663
Repository Open Access

Raffaella Mulas and Zoran Stanić: Star complements for ±2 in signed graphs
In: Special matrices, 10 (2022) 1, p. 258-266
Bibtex MIS-Preprint: 8/2022 DOI: 10.1515/spma-2022-0161
Journal Open Access

Aida Abiad ; Raffaella Mulas and Dong Zhang: Coloring the normalized Laplacian for oriented hypergraphs
In: Linear algebra and its applications, 629 (2021), p. 192-207
Bibtex DOI: 10.1016/j.laa.2021.07.018 ARXIV: https://arxiv.org/abs/2008.03269
Repository Open Access

Jürgen Jost and Raffaella Mulas: Cheeger-like inequalities for the largest eigenvalue of the graph Laplace operator
In: Journal of graph theory, 97 (2021) 3, p. 408-425
Bibtex MIS-Preprint: 7/2020 DOI: 10.1002/jgt.22664 ARXIV: https://arxiv.org/abs/1910.12233
Journal Open Access

Jürgen Jost and Raffaella Mulas: Normalized Laplace operators for hypergraphs with real coefficients
In: Journal of complex networks, 9 (2021) 1, cnab009
Bibtex DOI: 10.1093/comnet/cnab009 ARXIV: https://arxiv.org/abs/2010.10100
Repository Open Access

Jürgen Jost ; Raffaella Mulas and Florentin Münch: Spectral gap of the largest eigenvalue of the normalized graph Laplacian
In: Communications in mathematics and statistics, Vol. not yet known, pp. not yet known
Bibtex MIS-Preprint: 6/2020 DOI: 10.1007/s40304-020-00222-7 ARXIV: https://arxiv.org/abs/1910.14402 LINK: https://www.researchgate.net/publication/336936190
Journal Open Access

Jürgen Jost ; Raffaella Mulas and Dong Zhang: \(p\)-Laplace operators for oriented hypergraphs
In: Vietnam journal of mathematics, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1007/s10013-021-00525-4 ARXIV: https://arxiv.org/abs/2007.00325
Journal Open Access

Antonio Lerario and Raffaella Mulas: Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit
In: Discrete and computational geometry, 66 (2021) 3, p. 1072-1104
Bibtex DOI: 10.1007/s00454-020-00238-4 ARXIV: https://arxiv.org/abs/1906.07092
Journal Open Access

Raffaella Mulas: Sharp bounds for the largest eigenvalue
In: Mathematical notes, 109 (2021) 1/2, p. 102-109
Bibtex DOI: 10.1134/S0001434621010120 ARXIV: https://arxiv.org/abs/2004.02154
Repository Open Access

Raffaella Mulas: Spectral classes of hypergraphs
In: The Australasian Journal of Combinatorics, 79 (2021) 3, p. 495-514
Bibtex ARXIV: https://arxiv.org/abs/2007.04273 LINK: http://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p495.pdf
Journal Open Access

Raffaella Mulas: A Cheeger cut for uniform hypergraphs
In: Graphs and combinatorics, 37 (2021) 6, p. 2265-2286
Bibtex DOI: 10.1007/s00373-021-02348-z ARXIV: https://arxiv.org/abs/2011.06816
Journal Open Access

Raffaella Mulas and Michael J. Casey: Estimating cellular redundancy in networks of genetic expression
In: Mathematical biosciences, 341 (2021), 108713
Bibtex DOI: 10.1016/j.mbs.2021.108713 ARXIV: https://arxiv.org/abs/2106.03663
Repository Open Access

Raffaella Mulas ; Rubén Sánchez-Garcia and Ben D. MacArthur: Geometry and symmetry in biochemical reaction systems
In: Theory in biosciences, 140 (2021) 3, p. 265-277
Bibtex DOI: 10.1007/s12064-021-00353-7 ARXIV: https://arxiv.org/abs/2010.01049
Journal Open Access

Raffaella Mulas and Dong Zhang: Spectral theory of Laplace operators on oriented hypergraphs
In: Discrete mathematics, 344 (2021) 6, 112372
Bibtex DOI: 10.1016/j.disc.2021.112372 ARXIV: https://arxiv.org/abs/2004.14671
Repository Open Access

Raffaella Mulas ; Christian Kuehn and Jürgen Jost: Coupled dynamics on hypergraphs : master stability of steady states and synchronization
In: Physical review / E, 101 (2020) 6, 062313
Bibtex DOI: 10.1103/PhysRevE.101.062313 ARXIV: https://arxiv.org/abs/2003.13775
Journal Open Access

Raffaella Mulas and Ngoc Mai Tran: Minimal embedding dimensions of connected neural codes
In: Algebraic statistics, 11 (2020) 1, p. 99-106
Bibtex DOI: 10.2140/astat.2020.11.99 ARXIV: https://arxiv.org/abs/1706.03999
Repository Open Access

Jürgen Jost and Raffaella Mulas: Hypergraph Laplace operators for chemical reaction networks
In: Advances in mathematics, 351 (2019), p. 870-896
Bibtex DOI: 10.1016/j.aim.2019.05.025 ARXIV: https://arxiv.org/abs/1804.01474
Repository Open Access

Publications in Books and Conference Proceedings

Raffaella Mulas ; Danijela Horak and Jürgen Jost: Graphs, simplicial complexes and hypergraphs : spectral theory and topology
In: Higher-order systems / Giovanni Petri (ed.)
Cham : Springer, 2022. - P. 1-58
(Understanding complex systems)
Bibtex MIS-Preprint: 17/2022 DOI: 10.1007/978-3-030-91374-8_1
Repository Open Access

Raffaella Mulas: Interlacing results for hypergraphs
In: Proceedings of Blockchain in Kyoto 2021 (BCK21) ; Kyoto, Japan (hybrid) ; February 17-18, 2021 / Yuichi Ikeda (ed.)
(JPS conference proceedings ; 36)
Bibtex DOI: 10.7566/JPSCP.36.011007 ARXIV: https://arxiv.org/abs/2106.04827
Repository Open Access

Preprints

Jürgen Jost ; Raffaella Mulas and Leo Torres: Spectral theory of the non-backtracking Laplacian for graphs
Repository Open Access

Jürgen Jost ; Raffaella Mulas and Dong Zhang: Petals and books : the largest Laplacian spectral gap from 1
Repository Open Access

Eleonora Andreotti and Raffaella Mulas: Signless normalized Laplacian for hypergraphs
Repository Open Access

Raffaella Mulas: A survey on wild mathematics
Repository Open Access

Raffaella Mulas and Nathan Reff: Spectra of complex unit hypergraphs
Repository Open Access

Academic Theses

Raffaella Mulas: Spectra of normalized Laplace operators for graphs and hypergraphs
Dissertation, Universität Leipzig, 2020
Bibtex LINK: https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-711546
Repository Open Access
25.05.2022, 05:49