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Parsons图T_b(2,q)的正则次数 被引量:1

On the Regular Degree of Parsons Graphs T_b(2,q)
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摘要 已知Parsons图Tb(d,q)都是正则图,给出了Parsons图Tb(2,q)正则次数的上、下界;对于b∈Fp的情形,给出了图Tb(2,q)正则次数的判定定理,确定了部分Parsons图的正则次数;并且纠正了文[1]中的一个错误. For even number d, and finite field Fq= GF (q) on q=pn elements, andfor every b in Fq,Tb (d,q) is a regular graph. In this paper,we provide the upper boundand the lower bound on the regular degree of Parsons graphs Tb(2,q). For every b in Fp,we give the regular degree of Parsons graph Tb(2,q). We also correct a mistake in [1].
出处 《河北师范大学学报(自然科学版)》 CAS 1994年第4期13-16,21,共5页 Journal of Hebei Normal University:Natural Science
关键词 PARSONS图 正则次数 k次正则图 Parsons graph degree k-regular graph
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参考文献2

  • 1(美)邦迪(J.A.Bondy),(美)默蒂(U.S.R.Murty)著,吴望名等.图论及其应用[M]科学出版社,1984.
  • 2闵嗣鹤,严士健.初等数论[M]人民教育出版社,1982.

同被引文献8

  • 1Jacobson N.Basic Algebral I. . 1974
  • 2Bondy J A,Murty U S R.Graph Theory with Applicaitons. The Macmillan Press LTD . 1976
  • 3Yap H P.Some Topics in Graph Theory. . 1986
  • 4Lovasz L.Combinatorial Problems and Exercises. . 1979
  • 5Wang J,Xu M Y.A Class of Hamiltonian Cayley Graphs and Parsons Graphs. Institute of Mathematics andDepartment of Mathematics,Research Report No48 . 1992
  • 6Zhang C Y.2</sub>(q)&amp;sid=Combinatorics and Graph Theory‘95,Proceedings of Summer School and International Conference on Combinatorics‘95&amp;aufirst=Zhang C Y');&#xA; ">Parsons Graphs of the Special Linear Group SL<sub>2</sub>(q). Combinatorics and Graph Theory‘95,Proceedings of Summer School and International Conference on Combinatorics‘95 . 1995
  • 7Joseph Zaks.Parsons graphs of matrices. Discrete Mathematics . 1989
  • 8HUNGERFORD T W.Algebra. . 1980

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