TL;DR
This paper investigates properties of closed graphs, focusing on the number of labelings and clustering coefficients, expanding understanding of their structural and combinatorial characteristics.
Contribution
It provides new insights into the enumeration of closed labelings and analyzes clustering coefficients in closed graphs, advancing the theoretical framework.
Findings
Derived formulas for counting closed labelings
Analyzed clustering coefficients in closed graphs
Enhanced understanding of structural properties
Abstract
A graph is closed when its vertices have a labeling by [n] with a certain property first discovered in the study of binomial edge ideals. In this article, we explore various aspects of closed graphs, including the number of closed labelings and clustering coefficients.
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