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math.CO2019★ 4 cited
Eigenvalues, Smith normal form and determinantal ideals
Aida Abiad, Carlos A. Alfaro, Kristin Heysse +1
Determinantal ideals of graphs generalize, among others, the spectrum and the Smith normal form (SNF) of integer matrices associated to graphs. In this work we investigate the rela…
math.CO2019★ 1 cited
Spectral upper bound on the quantum k-independence number of a graph
Pawel Wocjan, Clive Elphick, Aida Abiad
A well known upper bound for the independence number of a graph , due to Cvetković, is that \begin{equation*} α(G) \le n^0 + \min\{n^+ , n^-\} \end{equation*} where $(n^+…