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8个顶点的所有10个自补图

Ten Self-Complementary Graphs on Eight Vertices
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摘要 本文应用度序列的方法及自补置换圈的有关结果,构造出了8个顶点的全部10个自补图。 The enumeration problem on self-complementary graphs(for short S. C. graphs)was solved by Read in 1963 [3]. There are 1, 2, 10, 36 S. C. graphs on 4, 5, 8, 9 vertices, respectively. All S. C. graphs 4 and 5 vertices are well known. After seaching extonsiuely in eiterature, the anthors believe that the anstraction of all 10 S. C. graghs is still an open problem, In this paper, on 8 vertices are given by using the method of potentially self-com plementary degree seguences and complementing permutation cycles.
作者 许进 李正兴
出处 《宁夏大学学报(自然科学版)》 CAS 1990年第1期5-9,共5页 Journal of Ningxia University(Natural Science Edition)
关键词 自补图 度序列 自补置换图 顶点 Self-Complementary graphs, Degree sequence, Self-Complementing permutation cycle, Potentially Self-Complementary degree sequence.
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