
TL;DR
This paper investigates the class of closed graphs defined by a linear ordering of vertices, analyzing recent characterizations through the lens of proper interval graph theory.
Contribution
It provides a detailed analysis of closed graphs using proper interval graph tools, enhancing understanding of their structural properties.
Findings
Characterization of closed graphs via proper interval graph theory
Insights into the structural properties of closed graphs
Connections between linear orderings and graph classes
Abstract
The class of closed graphs by a linear ordering on their sets of vertices is investigated. A recent characterization of such a class of graphs is analyzed by using tools from the proper interval graph theory.
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