12 citations · 40 across the 78 of their papers we have counts for
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Spectral bounds for the -independence number of a graph
Aida Abiad, Sebastian Cioabă, Michael Tait
In this paper, we obtain two spectral upper bounds for the -independence number of a graph which is is the maximum size of a set of vertices at pairwise distance greater than $k…
On the distance spectra of graphs
Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy +8
The distance matrix of a graph is the matrix containing the pairwise distances between vertices. The distance eigenvalues of are the eigenvalues of its distance matrix and…
Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree
Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy +4
We establish a conjecture of Graham and Lovász that the (normalized) coefficients of the distance characteristic polynomial of a tree are unimodal; we also prove they are log-conca…