【摘 要】
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The minimum skew rank of a simple graph G is the smallest possible rank among all real skew-symmetric matrices whose (i; j)-entry is nonzero if and only if the
【机 构】
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SchoolofScience,ZhejiangA&FUniversity,Hangzhou,311300,China
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The minimum skew rank of a simple graph G is the smallest possible rank among all real skew-symmetric matrices whose (i; j)-entry is nonzero if and only if the edge joining i and j is in G.Let C be an even cycle of a perfect matching graph G.Then C is nice if G-C is still a perfect matching graph.We in this paper first generalize the terminology the nice cycle to a general graph, not necessary be perfect matching.Then we will interpret that such a terminology is better to investigate the problem of the minimum skew rank of a graph.
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