Francesco Belardo

I am an Associate Professor of Geometry and Algebra at Dept. of Mathematics and Applications "R. Caccioppoli" of University of Naples "Federico II". I hold a M.Sc. (2001) and a Ph.D. (2007) in Mathematics from University of Messina (Italy).

My research interest is in Discrete Mathematics, especially Graph Theory. My favourite topics are Spectral Graph Theory, Combinatorial Matrix Theory, and Applications of Graphs in Computers Science, Chemistry and other sciences.

Short Biography CV (Web)» CV (PDF)»

ORCID   Google Scholar   ResearchGate   MathSciNet   WoS   Docenti UniNA  

Selected Publications All Publications»

h-index: 17   Citations: 944   Erdös #: 3

• A. Abiad, F. Belardo, A.P. Khramova, A switching method for constructing cospectral gain graphs, Discrete Mathematics 347 (2024), article no. 113838, 9 pages.
• F. Belardo, M. Brunetti, S. Khan, NEPS of complex unit gain graphs, Electronic Journal of Linear Algebra 39 (2023) 621-643.
• F. Belardo, M. Brunetti, J.N. Coble, N. Reff, H. Skogman, Spectra of quaternion unit gain graphs, Linear Algebra and its Applications 632 (2022) 15-49.
• F. Belardo, E. Oliveira, V. Trevisan, Spectral ordering of trees with small index, Linear Algebra and its Applications 575 (2019) 250-272.
• F. Belardo, S.M. Cioabă, J. Koolen, J.F. Wang, Open problems in the spectral theory of signed graphs, The Art of Discrete and Applied Mathematics 1 (2018) #P2.10.
• F. Belardo, M. Cavaleri, A. Donno, Wreath product of a complete graph with a cyclic graph: Topological indices and spectrum, Applied Mathematics and Computation 336 (2018) 288-300.
• F. Belardo, S.K. Simić, On the Laplacian coefficients of signed graphs, Linear Algebra and its Applications 475 (2016) 94-113.
• F. Belardo, Balancedness and the least eigenvalue of Laplacian of signed graphs, Linear Algebra and its Applications 446 (2014) 133-147.
• F. Belardo, E.M. Li Marzi, S.K. Simić, Combinatorial approach for computing the characteristic polynomial of a matrix, Linear Algebra and its Applications 433(8-10) (2010) 1513-1523.

All Publications »

Selected Talks All talks»

• Invited Talk Cospectrality of gain graphs, Groups, graphs and everything in between, Bled - Slovenia, May 04-07, 2023.
• Invited Talk Laplacian, Subdivision and Line graph of loopless weighted graphs, 22nd Conference of the International Linear Algebra Society - ILAS 2019, Symposium on Spectral Graph Theory, Rio de Janeiro - Brazil, July 08-12, 2019.
• Invited Talk Recent developments on the spectral determination of signed graphs, 8th PhD Summer School in Discrete Mathematics, Rogla - Slovenia, July 01-07, 2018.
• Plenary Talk Connected graphs of fixed order and size with extremal spectral radius, Combinatorics 2018, Arco - Italy, June 03-09, 2018.
• Plenary Talk Spectral Determination of Signed Graphs, 10th Conference on Graph Theory and Algebraic Combinatorics - GTACC10, Yazd - Iran, January 17-18, 2018.
• Contributed Talk On the eigenspaces of signed line graphs and signed subdivision graphs, 8th Slovenian Conference on Graph Theory, Kranjska Gora - Slovenia, June 21-27, 2015.
• Plenary Talk Spectral Theory of Signed Graphs, Conference on Computational Algebra and Computational Number Theory - CACNA 2014, Kashan - Iran, December 17-19, 2014.
• Invited Talk Algebraic Frustration of signed graphs, 13th Serbian Mathematical Congress, Vrnjačka Banja - Serbia, May 22-25, 2014.
• Contributed Talk The structure of graphs with small M-indices, 16th Conference of the International Linear Algebra Society - ILAS 2010, Symposium on Spectral Graph Theory, Pisa - Italy, June 21 - 25, 2010.
• Contributed Talk Computing the characteristic polynomials of matrices through Coates formula, Combinatorics 2010, Verbania - Italy, June 27 - July 03, 2010.
• Contributed Talk The minimal index of trees with a small diameter, 6th Slovenian International Conference on Graph Theory - Bled '07, Bled - Slovenia, June 24 - 30, 2007.

Professional Service

Editorial Boards

• Ars Mathematica Contemporanea, ISSN: 1855-3966, Member of the editorial board since 2020.
• The Electronic Journal of Linear Algebra, ISSN: 1081-3810, Associate Editor since 2020.
• Discrete Mathematics Letters, ISSN: 2664-2557, Member of the editorial board since 2018.
• The Art of Discrete and Applied Mathematics, ISSN: 2590-9770, Member of the editorial board since 2018.
• Communications in Combinatorics and Optimization, ISSN: 2538-2136, Member of the editorial board since 2015.
• FILOMAT, ISSN: 2406-0933, Graph Theory Section Editor, from 2013 till 2018.

Guest Editor Volumes

• Transactions on Combinatorics, ISSN: 2251-8657, Guest Editor of Volume 11 (2022) no. 3 (WGGTG2021 proceedings).
• Discussiones Mathematicae Graph Theory, ISSN: 1234-3099, Guest Editor of Volume 40 (2020) no. 2 devoted to the career and memory of Slobodan K. Simic.
• The Art of Discrete and Applied Mathematics, ISSN: 2590-9770, Editor of Volume 1 no. 2 (HyGraDe 2017 proceedings).
• Atti Accademia Peloritana dei Pericolanti, ISSN: 1825-1242, Guest Editor of Volume 96 S2 (HyGraDe 2017 proceedings).

Conference, Symposium and Workshop Committees

• 8th European Congress of Mathematics - 8ECM, Co-Organizer (with C. Dalfó) of the Mini Symposium on Spectral Graph Theory (MS-ID46), Portorož - Slovenia, June 20 - 26, 2021.

• Workshop on Graphs, Topology and Topological Groups, Co-organizer (with F.G. Russo), Cape Town - South Africa (online Zoom platform), March 10, 2021.

• 9th Slovenian International Conference on Graph Theory - Bled '19, Organizer of the Symposium on Spectral Graph Theory, Bled - Slovenia, June 24 - 30, 2019.

• International Conference on Recent Achievements in Mathematical Science, Member of the Scientific Committee, Yazd - Iran, January 14 - 18, 2019.

• Workshop on Algebraic Graph Theory and Complex Networks 2018 - WAGTCN 2018, Member of the Organizing Committee, Naples - Italy, September 13 - 14, 2018.

• Hypergraphs, Graphs and Designs - HyGraDe 2017, Chair of the Organizing Committee (with G. Lo Faro), Sant'Alessio Siculo - Italy, June 20 - 24, 2017.

• The 13th International Conference on Finite Fields and their Applications - Fq13, Member of the Organizing Committee, Gaeta - Italy, June 04 - 10, 2017.

• Spectra of graphs and applications 2016, Member of the Scientific Committee, Belgrade - Serbia, May 18-20, 2016.

• 13th Serbian Mathematical Congress, Member of the International Scientific Committee, Vrnjačka Banja - Serbia, May 22-25, 2014.

Journal Referee

Ars Combinatoria; Ars Mathematica Contemporanea; Acta Mathematica Sinica E.S.; Applicable Analysis and Discrete Mathematics; Applied Mathematics Letters; Computers and Mathematics with Applications; Discrete Applied Mathematics; Discrete Mathematics; Electronic Journal of Combinatorics; Filomat; Graphs and Combinatorics; Linear Algebra and its Applications; Linear and Multilinear Algebra; MATCH; Publications de l'Institute Mathématique (Beograd); Utilitas Mathematica.

Visiting Colleagues

• Olwethu Waka, University of Cape Town, South Africa, January 2024.
• Antonina P. Khramova, Eindhoven University of Technology, The Netherlands, October 2023.
• Vilmar Trevisan, Universidade Federal Rio Grande do Sul, Brasil, from March 2020 to February 2021, and June 2024.
• Nathan Reff, State University of New York, U.S.A., May 2019.
• Sebastian Cioabă, University of Delaware, U.S.A., September 2018.

Teaching Institutional Webpage»

Information about my teaching duties, exams, and other related stuff can be found at my institutional webpage.

Contact