7 citations · 12 across the 8 of their papers we have counts for
8 papers · 1 filter
On the Number of Connected Edge Cover Sets of Some Graph Families
Ali Zeydi Abdian, Saeid Alikhani, Mahsa Zare
Let be a simple connected graph. A connected edge cover of is a subset such that every vertex of is incident with at least one edge in and the…
No two Jellyfish graphs are L-cospectral and Q-cospectral
A. Z. Abdian, A. R. Ashrafi
In this paper, it is proved that the jellyfish graphs, a natural generalization of sun graphs, are both DLS and DQS.
Laplacian Spectral Determination of Path-Friendship Graphs
A. Z. Abdian, A. R. Ashrafi, L. W. Beineke +1
A graph is said to be determined by the spectrum of its Laplacian matrix (DLS) if every graph with the same spectrum is isomorphic to . van Dam and Haemers (2003) conjecture…
Graphs determined by signless Laplacian spectra
Ali Zeydi Abdian, Afshin Behmaram, Gholam Hossein Fath-Tabar
In the past decades, graphs that are determined by their spectrum have received more attention, since they have been applied to several fields, such as randomized algorithms, combi…
On the spectral determinations of the connected multicone graphs
Ali Zeydi Abdian, Lowell W. Beineke, Afshin Behmaram
In this study we investigate the spectra of the family of connected multicone graphs. A multicone graph is defined to be the join of a clique and a regular graph. Let , …
Signless Laplacian determinations of some graphs with independent edges
R. Sharafdini, A. Z. Abdian
{Signless Laplacian determinations of some graphs with independent edges}% {Let be a simple undirected graph. Then the signless Laplacian matrix of is defined as $D_G + A_G…
The spectral determination of the multicone graphs Kw+P
Ali Zeydi Abdian
The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra, their Laplacian spectra and their adjacency…
The spectral determinations of the multicone graphs Kw+mCn
Ali Zeydi Abdian
The main goal of the paper is to characterize new classes of multicone graphs which are determined by both adjacency and Laplacian spectra. A multicone graph is defined to be the j…