| {(3,4),4}-富勒烯图的极大共振性（英文） |
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| 引用本文： | 杨瑞,马燕菲.{(3,4),4}-富勒烯图的极大共振性（英文）[J].数学季刊,2024(1):1-17. |
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| 作者姓名： | 杨瑞 马燕菲 |
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| 作者单位： | School of Mathematics and Information Science, Henan Polytechnic University |
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| 基金项目： | Supported by NSFC (Grant Nos. 11801148 and 11626089)；;the Foundation for the Doctor of Henan Polytechnic University (Grant No. B2014-060)； |
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| 摘 要： | A {(3,4), 4}-fullerene graph S is a 4-regular map on the sphere whose faces are of length 3 or 4.It follows from Euler s formula that the number of triangular faces is eight.A set H of disjoint quadrangular faces of S is called resonant pattern if S has a perfect matching M such that every quadrangular face in H is M-alternating.Let k be a positive integer,S is k-resonant if any i≤k disjoint quadrangular faces of S form a resonant pattern.Moreover,if graph S is k-resonant for any integer k,then ...
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