C4-saturated bipartite graphs

Darryn E. Bryant*, Hung-Lin Fu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Let H be a graph. A graph G is said to be H-free if it contains no subgraph isomorphic to H. A graph G is said to be an H-saturated subgraph of a graph K if G is an H-free subgraph of K with the property that for any edge e∈E(K)\E(G), G ⊃ {e} is not H-free. We present some general results on Ks,t-saturated subgraphs of the complete bipartite graph Km,n and study the problem of finding, for all possible values of q, a C4-saturated subgraph of Km,n having precisely q edges.

Original languageEnglish
Pages (from-to)263-268
Number of pages6
JournalDiscrete Mathematics
Volume259
Issue number1-3
DOIs
StatePublished - 28 Dec 2002

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