Anti-forcing spectrum of any cata-condensed hexagonal system is continuous |
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Authors: | Kai Deng Heping Zhang |
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Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,China;2.School of Mathematics and Information Science,Beifang University of Nationalities,Yinchuan,China |
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Abstract: | The anti-forcing number of a perfect matching M of a graph G is the minimal number of edges not in M whose removal makes M a unique perfect matching of the resulting graph. The anti-forcing spectrum of G is the set of anti-forcing numbers over all perfect matchings of G: In this paper, we prove that the anti-forcing spectrum of any cata-condensed hexagonal system is continuous, that is, it is a finite set of consecutive integers. |
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