2 citations · 6 across the 15 of their papers we have counts for
4 papers · 1 filter
Unique identification and domination of edges in a graph: The vertex-edge dominant edge metric dimension
H. M. Ikhlaq, S. Hayat, H. M. A. Siddiqui
Dominating sets and resolving sets have important applications in control theory and computer science. In this paper, we introduce an edge-analog of the classical dominant metric d…
On the Sombor index of graphs with given connectivity and number of bridges
Sakander Hayat, Muhammad Arshad, Kinkar Chandra Das
Recently in 2021, Gutman introduced the Sombor index of a graph, a novel degree-based topological index. It has been shown that the Sombor index efficiently models the thermodynami…
Extending a conjecture of Graham and Lovász on the distance characteristic polynomial
Aida Abiad, Boris Brimkov, Sakander Hayat +2
Graham and Lovász conjectured in 1978 that the sequence of normalized coefficients of the distance characteristic polynomial of a tree of order is unimodal with the maximum val…
On Sombor index of graphs with a given number of cut-vertices
Sakander Hayat, Ansar Rehman, Yubin Zhong
Introduced by Gutman in 2021, the Sombor index is a novel graph-theoretic topological descriptor possessing potential applications in the modeling of thermodynamic properties of co…