Pendant-tree connectivity of line graphs
Yaping Mao
TL;DR
This paper investigates the pendant-tree connectivity of line graphs, a concept extending classical vertex-connectivity, providing new insights into the structural properties of line graphs in graph theory.
Contribution
It introduces the study of pendant-tree connectivity specifically for line graphs, expanding understanding of connectivity measures in graph theory.
Findings
Established properties of pendant-tree connectivity in line graphs
Derived bounds and conditions for pendant-tree connectivity in line graphs
Enhanced theoretical framework for analyzing graph connectivity
Abstract
The concept of pendant-tree connectivity, introduced by Hager in 1985, is a generalization of classical vertex-connectivity. In this paper, we study pendant-tree connectivity of line graphs.
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Taxonomy
TopicsInterconnection Networks and Systems · Advanced Graph Theory Research · Graphene research and applications