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Complete \((k-1)\)-Subgraphs of \(k\)-Critical Graphs

Xiang-Ying Su1
1Department of Mathematics Wayne State University Detroit, MI 48202, USA

Abstract

A graph \(G\) is called \(k\)-critical if \(\chi(G) = k\) and \(\chi(G – e) k\) is at most \(n – k + 3\) if \(k \leq 7\).