This analysis characterizes matching numbers in bipartite graphs, suggesting implications for graph theory.
Let G be a finite simple graph and let ind-match ( G ) and ord-match ( G ) denote the induced matching number and the ordered matching number of G , respectively. We characterize all bipartite graphs G with ind-match ( G ) = ord-match ( G ) . We establish the Castelnuovo-Mumford regularity of powers of edge ideals and depth of powers of cover ideals for such graphs.
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Jayanthan et al. (2026) studied this question.
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