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math.GM2026
-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…
math.GM2024
Sigma index in Trees with Given Degree Sequences
Jasem Hamoud, Artem Kurnosov
The sigma index in graph theory refers to a measure of the degree differences between vertices in a graph. The goal is to determine the graphs that have the maximum sigma index wit…