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自补图半度序列和的界 被引量:1

THE BOUND OF THE SUM OF THE HALF DEGREE SEQUENCE OF SELF-COMPLEMENTARY GRAPH
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摘要 自补图是图论中对称性极好的一类图,并在网络理论和设计中有一定的应用.本文讨论了自补图前、后半度序列和的上、下确界. Self-Complementary graph is a kind of graphs with nice symmetry in the graph theory, and it is widely used in the network theory and design. This paper discusses the supremum and infimum of the sum of the first half degree sequence and the last half degree sequence of self-complementary graph.
出处 《哈尔滨师范大学自然科学学报》 CAS 1998年第5期21-24,共4页 Natural Science Journal of Harbin Normal University
关键词 度序列 补图 同构 简单图 自补图 Graph Degree Degree-sequence Complement Isomorphic Self-complementary Graph Simple graph
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同被引文献7

  • 1张建生.强哈密顿序列的一个必要条件[J].西南师范大学学报(自然科学版),1989,14(1):11-18. 被引量:2
  • 2Gale D A. A theorem on flows in networks[ J]. Pacific J. Math,1957, (7) :1073 - 1082.
  • 3Ryser H J. Combinatorial properties of matrices of zeros and ones [ J ]. Conal. Math Bull, 1957, (9): 371 - 377.
  • 4Rao S B. A survey of the theory of potentially P-graphic and forcibly P-graphic degree sequences [ J ]. Leeture Notes in Math,1981 ,(8):441 -458.
  • 5Tyshkevich R I,Chernyak A A, Chemyak Zh A. Graphs and degree sequences,Ⅰ,Ⅱ, Ⅲ, (Russlan) [ J ]. Kibernalika, Kisv, 1987,6:12 - 19.
  • 6祖国城,周振荣.自补图度序列的结构[J].哈尔滨师范大学自然科学学报,1989,5(3):22-25. 被引量:1
  • 7李炯生,尹建华.极值图论与度序列[J].数学进展,2004,33(3):273-283. 被引量:7

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