Sigma index in Trees with Given Degree Sequences

Abstract

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 within certain classes of graphs. Abdo, Dimitrov, and Gutman characterized the graphs with the greatest sigma index among all connected graphs of a fixed order.

arXiv comment3 pages, 5 figures, conference 66th All-Russia Scientific Conference MIPT