BOOKS (AUTHORS ORDERED ALPHABETICALLY)

• Research monograph:
  J. Jost, R. Mulas and D. Zhang. Spectra of Discrete Structures.
  Cambridge University Press, Forthcoming

• Book of interviews:
  R. Mulas. Stories Behind Theorems: Conversations with Mathematicians.
  Springer, DOI:10.1007/978-3-031-96078-9 (2025)

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

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)

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 Synchronization.
  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,  88:8–24, DOI:10.1007/s10998-023-00536-3 (2024)

• * 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. Maximal colourings for graphs.
  Graphs and Combinatorics, 40(93), DOI:10.1007/s00373-024-02823-3 (2024)

• * R. Mulas and N. Reff. Spectra of Complex Unit Hypergraphs.
  The Art of Discrete and Applied Mathematics, 7(3), DOI:0.26493/2590-9770.1577.7ca (2024)

• * L. Beers and R. Mulas. At the end of the spectrum: Chromatic bounds for the largest eigenvalue of the normalized Laplacian.
  Journal of Physics: Complexity, 6(2), DOI:10.1088/2632-072X/adcc71 (2025)

PREPRINTS

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

• * L. Beers and R. Mulas. Coloring outside the lines: Spectral bounds for generalized hypergraph colorings.
  arXiv:2506.17659

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)

• R. Mulas. Being different doesn't make you odd.
  Journal of Humanistic Mathematics, To appear

• R. Mulas. Side by Side: Interview with Cristiana De Filippis and Tuomo Kuusi
  European Mathematical Society Magazine, To appear