The minimum size of 2-connected chordal bipartite graphs
Licheng Zhang, Yuanqiu Huang
TL;DR
This paper determines the smallest possible size of 2-connected chordal bipartite graphs for a given number of vertices, advancing understanding of their structural properties.
Contribution
It provides the first exact characterization of the minimum size in 2-connected chordal bipartite graphs with specified order.
Findings
Exact minimum size formulas derived for given orders.
Structural properties of 2-connected chordal bipartite graphs elucidated.
New bounds established for graph size in this class.
Abstract
A bipartite graph is chordal bipartite if every cycle of length at least six contains a chord. We determine the minimum size in 2-connected chordal bipartite graphs with given order.
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Taxonomy
TopicsInterconnection Networks and Systems · graph theory and CDMA systems · Advanced Graph Theory Research