On \(f\)-edge covered critical graphs (Q2839724)

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scientific article; zbMATH DE number 6187624
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On \(f\)-edge covered critical graphs
scientific article; zbMATH DE number 6187624

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    12 July 2013
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    f-edge cover coloring
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    f-edge covered critical graph
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    f-edge cover chromatic index
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    On \(f\)-edge covered critical graphs (English)
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    The \(f\)-edge cover chromatic index \(\chi'_{f_c}(G)\) of a graph \(G\) was introduced in [\textit{H. M. Song} and \textit{G. Z. Liu}, Acta Math. Sin. 48, No. 5, 919--928 (2005; Zbl 1124.05311)], see the review of the authors in [Util. Math. 84, 65--73 (2011; Zbl 1228.05155)] for precise definitions. In the present paper \(f\)-edge covered critical graphs are studied, the main result (Theorem 1.5) gives a rather technical property of such graphs.
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