21 papers
-Irregularity of Trees with Prescribed Maximum Degree: A Majorization--Duality--Stability Framework
Jasem Hamoud, Duaa Abdullah
Trees of maximum -irregularity subject to a prescribed maximum degree have been characterized for and , with the extension to arbitrary . This paper…
Optimal Behaviour in Extremal Bounds for -Irregularity
Jasem Hamoud, Duaa Abdullah
In this paper, we establishe the extremal bounds of the topological indices -- Sigma index -- focusing on analyzing the sharp upper bounds and the lower bounds of the Sigma index,…
Extremal Bounds on the Sigma and Albertson Indices for Non-Decreasing Degree Sequences
Jasem Hamoud, Duaa Abdullah
We establish sharp extremal bounds on the Albertson and Sigma irregularity indices for trees with prescribed degree sequences, with emphasis on caterpillar trees as key extremal co…
Closed-Form Analysis and Extremal Bounds of Albertson and Sigma Indices in Trees with Prescribed Degree Sequences
Jasem Hamoud, Alexey Belov Yakovlevich, Muaadh Almahalebi +1
This study explores the irregularity properties of trees with prescribed degree sequences by analyzing two prominent topological indices: the Albertson index and the sigma index. W…
Topological Indices With Degree Sequence of Tree
Jasem Hamoud, Duaa Abdullah
In this paper, we refer to a asymptotic degree sequence as . The examination of topological indices on trees gives us a general overview through bo…
Regularities of Typical Sigma Index on Caterpillar Trees of Pendent Vertices
Jasem Hamoud, Duaa Abdullah
In this paper, topological indices play a significant role in the analysis of caterpillar trees, especially due to their applications in chemical graph theory. We presented a study…