4 papers
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…
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…
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…
On Determining Minimal Spectrally Arbitrary Patterns
Michael S. Cavers, In-Jae Kim, Bryan L. Shader +1
In this paper we present a new family of minimal spectrally arbitrary patterns which allow for arbitrary spectrum by using the Nilpotent-Jacobian method. The novel approach here is…