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math.CO2026
Spectra of Subdivision Products of Digraphs
Michael Cavers, Farzad Maghsoudi, Babak Miraftab
This paper introduces four types of subdivision products for simple directed graphs extending those from the undirected case, in particular, the subdivision-vertex join, subdivisio…
math.CO2013
Minimum number of distinct eigenvalues of graphs
Bahman Ahmadi, Fatemeh Alinaghipour, Michael S. Cavers +3
The minimum number of distinct eigenvalues, taken over all real symmetric matrices compatible with a given graph , is denoted by . Using other parameters related to , b…
math.CO2010
Generalized covering designs and clique coverings
Robert F. Bailey, Andrea C. Burgess, Michael S. Cavers +1
Inspired by the "generalized t-designs" defined by Cameron [P. J. Cameron, A generalisation of t-designs, Discrete Math. 309 (2009), 4835--4842], we define a new class of combinato…