Gutman index of the Mycielskian and its complement
Ali Behtoei, Mahdi Anbarloei

TL;DR
This paper investigates the Gutman index, a graph invariant related to degree and distance, specifically focusing on the properties of the Mycielskian graphs and their complements.
Contribution
It provides new insights and formulas for the Gutman index of Mycielskian graphs and their complements, expanding understanding of their structural properties.
Findings
Derived formulas for the Gutman index of Mycielskian graphs
Analyzed the Gutman index of the complements of these graphs
Enhanced understanding of the relationship between graph structure and the Gutman index
Abstract
In This Paper we study the Gutman index of the Mycielskian graphs and their complements.
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Taxonomy
TopicsFunctional Equations Stability Results · Graph theory and applications · Fuzzy Systems and Optimization
