BOOK (AUTHORS ORDERED ALPHABETICALLY)

J. Jost, R. Mulas and D. Zhang. Spectra of Discrete Structures.
Submitted

BOOK CHAPTER (AUTHORS ORDERED BY CONTRIBUTION)

R. Mulas, D. Horak and J. Jost. Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology. In: Higher-Order Systems, Understanding Complex Systems, F. Battiston and G. Petri (eds.),
Springer, DOI: 10.1007/978-3-030-91374-8\_1 (2022)

BOOK FOR CHILDREN (AUTHORS ORDERED ALPHABETICALLY)

C. Bick, P. Mulas and R. Mulas. Bear Networks.
Zenodo, DOI:10.5281/zenodo.11186892 (2024)

JOURNAL PUBLICATIONS (* = AUTHORS ORDERED ALPHABETICALLY)

• * J. Jost and R. Mulas. Hypergraph Laplace operators for chemical reaction networks.
  Advances in Mathematics, 351:870–896 (2019)

• * A. Lerario and R. Mulas. Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit.
  Discrete & Computational Geometry 66:1072–1104, DOI: 10.1007/s00454-020-00238-4 (2020)

• R. Mulas, C. Kuehn and J. Jost. Coupled Dynamics on Hypergraphs: Master Stability of Steady States and Syncronization.
  Physical Review E, 101(6):062313 (2020)

• ​R. Mulas. Sharp bounds for the largest eigenvalue.
  Mathematical Notes, 109(1):102–109, DOI: 10.1134/S0001434621010120 (2021)

• R. Mulas and N. M. Tran. Minimal embedding dimensions of connected neural codes.
  Algebraic Statistics, 11(1):99–106, DOI: 10.2140/astat.2020.11.99 (2020)

• R. Mulas. Spectral classes of hypergraphs.
  The Australasian Journal of Combinatorics, 79(3):495–514 (2021)

• * J. Jost and R. Mulas. Cheeger-like inequalities for the largest eigenvalue of the graph Laplace operator.
  Journal of Graph Theory, 97(3):408–425. DOI: 10.1002/jgt.22664 (2021)

• * R. Mulas and D. Zhang. Spectral theory of Laplace operators on oriented hypergraphs.
  Discrete Mathematics, 344(6):112372, DOI: 10.1016/j.disc.2021.112372 (2021)

• R. Mulas, R.J. Sánchez-García and B.D. MacArthur. Geometry and symmetry in biochemical reaction systems.
  Theory in Biosciences 140:265–277, DOI: 10.1007/s12064-021-00353-7 (2021)

• * J. Jost and R. Mulas. Normalized Laplace Operators for Hypergraphs with Real Coefficients.
  Journal of Complex Networks, 9(1): cnab009. DOI:10.1093/comnet/cnab009 (2021)

• R. Mulas. A Cheeger Cut for Uniform Hypergraphs.
  Graphs and Combinatorics, 37: 2265–2286 , DOI: 10.1007/s00373-021-02348-z (2021)

• * A. Abiad, R. Mulas and D. Zhang. Coloring the normalized Laplacian for oriented hypergraphs.
  Linear Algebra and Its Applications, 629:192–207, DOI: 10.1016/j.laa.2021.07.018 (2021)

• * J. Jost, R. Mulas and D. Zhang. p-Laplace Operators for Oriented Hypergraphs.
  Vietnam Journal of Mathematics, Special Issue for the 60th birthday of Bernd Sturmfels, DOI: 10.1007/s10013-021-00525-4 (2021)

• R. Mulas. Interlacing Results for Hypergraphs.
  JPS Conference Proceedings, 36:011007, Proceedings of Blockchain in Kyoto 2021 (BCK21), DOI: 10.7566/JPSCP.36.011007 (2021)

• R. Mulas and M.J. Casey. Estimating cellular redundancy in networks of genetic expression.
  Mathematical Biosciences 341:108713, DOI: 10.1016/j.mbs.2021.108713 (2021)

• * J. Jost, R. Mulas and F. Münch. Spectral gap of the largest eigenvalue of the normalized graph Laplacian.
  Communications in Mathematics and Statistics, 10:371–381, DOI :10.1007/s40304-020-00222-7 (2021)

• * F. Galuppi, R. Mulas and L. Venturello. Spectral theory of weighted hypergraphs via tensors.
  Linear and Multilinear Algebra, DOI: 10.1080/03081087.2022.2030659 (2022)

• T. Böhle, C. Kuehn, R. Mulas and J. Jost. Coupled Hypergraph Maps and Chaotic Cluster Synchronization.
  EPL, 136(4):40005, DOI: 10.1209/0295-5075/ac1a26 (2022)

• * R. Mulas and Z. Stanic. Star complements for ±2 in signed graphs.
  Special Matrices, Special Issue on Contemporary Spectral Graph Theory, 10(1):258–266, DOI: 10.1515/spma-2022-016 (2022)

• * E. Andreotti and R. Mulas. Signless Normalized Laplacian for Hypergraphs.
  Electronic Journal of Graph Theory and Applications, 10(2), DOI: 10.5614/ejgta.2022.10.2.11 (2022)

• R. Mulas, C. Kuehn, T. Böhle and J. Jost. Random walks and Laplacians on hypergraphs: When do they match?
  Discrete Applied Mathematics, 317:26–41, DOI: 10.1016/j.dam.2022.04.009  (2022)

• * R. Mulas and J. Nie. On Turán numbers for disconnected hypergraphs.
  Acta Mathematica Hungarica, DOI:10.1007/s10474-023-01340-8 (2023)

• * J. Jost, R. Mulas and L. Torres. Spectral theory of the non-backtracking Laplacian for graphs.
  Discrete Mathematics, 346(10):113536, DOI: 10.1016/j.disc.2023.113536 (2023)

• * J. Jost, R. Mulas and D. Zhang. Petals and Books: The largest Laplacian spectral gap from 1.
  Journal of Graph Theory, DOI:10.1002/jgt.22999 (2023)

• * R. Mulas and G. Zucal, A measure-theoretic representation of graphs.
  Periodica Mathematica Hungarica, DOI:10.1007/s10998-023-00536-3 (2023)

• * R. Mulas, D. Zhang and G. Zucal. There is no going back: Properties of the non-backtracking Laplacian.
  Linear Algebra and Its Applications, 680:341–370, DOI:10.1016/j.laa.2023.10.014 (2024)

• * R. Mulas and N. Reff. Spectra of Complex Unit Hypergraphs.
  The Art of Discrete and Applied Mathematics, To appear

PREPRINTS

• * K. Devriendt and R. Mulas. Uniform density in matroids, matrices and graphs.
  arXiv:2306.15267

• R. Mulas. Maximal colourings for graphs.
  arXiv:2307.10910

• * L. Beers and R. Mulas. At the end of the spectrum: Chromatic bounds for the largest eigenvalue of the normalized Laplacian.
  arXiv:2402.09160

OTHER PUBLICATIONS

• R. Mulas and L. Pani. Neuroscienze, Topologia e Intelligenza Artificiale.
  Formiche, 2017

• R. Mulas. The Aleph of Borges and the Paradise of Cantor.
  Journal of Humanistic Mathematics, 12(2):404–410 (2022)

• R. Mulas. Interview with László Lovász.
  European Mathematical Society Magazine, 130:21–25, DOI:10.4171/MAG/157 (2023)

• R. Mulas. Proof by Example — Rianne de Heide.
  Nieuw Archief voor Wiskunde, 5/24 nr.4 (2023)

• R. Mulas. Proof by Example — Renee Hoekzema.
  Nieuw Archief voor Wiskunde, 5/25 nr.2 (2024)