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2p^2阶4度Cayley图 被引量:1

Cayley Graphs of Order 2p^2 with Valency 4
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摘要 Cayley图Cay(G,S)称之为正规的,如果G的右正则表示R(G)是Cay(G,S)全自同构群的正规子群。决定了2p2(p为奇素数)阶群上4度连通1-正则Cayley图的正规性。 A Cayley graph X=Cay(G,S) on a finite group G is said to be normal if the right regular representation of G, is a normal subgroup of the full automorphism group Aut(X) of X. All cubic edge-transitive Cayley graphs of finite group of order 2p2 are determined.
作者 于汇霞
出处 《科学技术与工程》 2005年第3期129-131,134,共4页 Science Technology and Engineering
基金 国家自然科学基金(10071002)资助
关键词 CAYLEY图 正规CAYLEY图 S-正则图 Cayley graphs normal Cayley graphs s-normal graphs
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  • 1Altshuler, D., Daly, M.J., Lander, E.S. Genetic mapping in human disease. Science, 322:881-888 (2008)
  • 2Chan, M.Y., Chan, W., Chin, F., Fung, S., Kao, M. Linear-time haplotype inference on pedigrees without recombinations. In: Proceedings of the 6th Annual Workshop on Algorithms in Bioinformatics (WABI'06), 2006, 56-67
  • 3Du, F.X., Woodward, B.W., Denise, S.K. Haplotype construction of sires with progeny genotypes based on an exact likelihood. Journal of Dairy Sciences, 81:1462-1468 (1998)
  • 4Excoffer, L., Slatkin, M. Maximum-likelihood estimation of molecular haplotype frequencies in a diploid population. Molecular Biology and Evolution, 12:921-927 (1995)
  • 5Gusfield, D. Inference of haplotypes from samples of diploid populations: complexity and algorithms. Journal of Computational Biology, 8:305-323 (2001)
  • 6Hawley, M.E., Kidd, K.K. HAPLO: a program using the EM algorithm to estimate the frequencies of multi-site haplotypes. Journal of Heredity, 86:409 -411 (1995)
  • 7Kruglyak, L., Daly, M.J., Reeve-Daly, M.P., Lander, E.S. Parametric and nonparametric linkage analysis: a unified multipoint approach. American Journal of Human Genetics, 58:1347-1363 (1996)
  • 8Lander, E.S., Green, P. Construction of multilocus genetic linkage maps in human. Proceedings of National Academy of Sciences of USA, 84:2363- 2367 (1987)
  • 9Li, J., Jiang, T. Efficient rule-based haplotyping algorithms for pedigree data. In: Proceedings of the 7th Annual Conference on Research in Computational Molecular Biology (RECOMB'03), 2003, 197-206
  • 10Lin, G., Wang, Z., Wang, L., Lau, Y.L., Yang, W. Identification of linked regions using high-density SNP genotype data for linkage analyses. Bioinformatics, 24:86-93 (2008)

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  • 1王长群,周志勇.二面体群D_(2n)的4度正规Cayley图[J].数学学报(中文版),2006,49(3):669-678. 被引量:5
  • 2于汇霞,周进鑫,王玲丽.2p^2阶3度Cayley图(英文)[J].数学进展,2006,35(5):581-589. 被引量:9
  • 3Du S F,W R J,Xu M Y.On the normality of Cayley digraphs of order twice a prime[J].Austalasian Journal of Combinatorics,1998,18:227-234.
  • 4Baik Y G Feng Y Q,Sim H S,Xu M Y.On the normality of Cayley graphs of Abelian groups[J].Algebra Colloquium,1998,5:297-304.
  • 5Fang X G,Li C H,Wang D J,Xu M Y.On cubic Cayley graphs of finite simple groups[J].Discrete Mathematics,2002,244:67-75.
  • 6Wang C Q,Xu M Y.Nonnormal 1-regular and 4-valent Cayley graphs of dihedral groups D2n[J].European Journal of Combinatorics,2006,27:750-766.
  • 7Lu Z P,Xu M Y.On the normality of Cayley graphs of order pq[J].Australasian Journal of Combinatorics,2003,27:81-93.
  • 8Feng Y Q,Wang D J,Chen J L.A family of non-normal Cayley digraphs[J].Acta Mathematica Sinica,New Series,2001,17:147-152.
  • 9徐尚进,郭松涛,王丽,王磊.3p^2阶连通4度Cayley图的正规性[J].广西师范大学学报(自然科学版),2009,27(2):30-33. 被引量:3

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