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20072023
most citedSome Results On Spectrum And Energy Of Graphs With Loops

13 citations · 53 across the 39 of their papers we have counts for

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45 papers

math.CO2023★ 13 cited

Some Results On Spectrum And Energy Of Graphs With Loops

Saieed Akbari, Hussah Al Menderj, Miin Huey Ang +2

Let be a graph with loops obtained from a graph of order and loops at . In this paper, we establish a neccesary and sufficient condition on the bipa…

math.CO2022

End Super Dominating Sets in Graphs

Saieed Akbari, Nima Ghanbari, Michael A. Henning

Let be a simple graph. A dominating set of is a subset such that every vertex not in is adjacent to at least one vertex in . The cardinality of…

math.CO2022

A lower bound of the energy of non-singular graphs in terms of average degree

Saieed Akbari, Hossein Dabirian, S. Mahmood Ghasemi

Let be a graph of order with adjacency matrix . The \textit{energy} of graph , denoted by , is defined as the sum of absolute value of eigenvalues…

math.CO2022★ 3 cited

Tight Bounds on the Chromatic Edge Stability Index of Graphs

Saieed Akbari, John Haslegrave, Mehrbod Javadi +2

The chromatic edge stability index of a graph is the minimum number of edges whose removal results in a graph with smaller chromatic index. We give best-p…

math.CO2021

A bound for the -domination number of a graph in terms of its eigenvalue multiplicities

A. Abiad, S. Akbari, M. H. Fakharan +1

Let be a connected graph of order with domination number . Wang, Yan, Fang, Geng and Tian [Linear Algebra Appl. 607 (2020), 307-318] showed that for any Laplacian eig…

math.CO2021

On the Chromatic Vertex Stability Number of Graphs

Saieed Akbari, Arash Beikmohammadi, Sandi Klavžar +1

The chromatic vertex (resp.\ edge) stability number (resp.\ ) of a graph is the minimum number of vertices (resp.\ edges) whose deletion results…