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Regular Balanced Cayley Maps for Cyclic,Dihedral and Generalized Quaternion Groups 被引量：4

Regular Balanced Cayley Maps for Cyclic,Dihedral and Generalized Quaternion Groups
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摘要 A Cayley map is a Cayley graph embedded in an orientable surface such that. the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, and generalized quaternion groups are classified. A Cayley map is a Cayley graph embedded in an orientable surface such that. the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, and generalized quaternion groups are classified.
作者 Yan WANG Rong Quan FENG
机构地区 Department of Mathematics LMAM
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第4期773-778,共6页 数学学报（英文版）
基金 Supported by NSF of China(No.10001005) and Com~2MaC-KOSEF
关键词 MAP Cayley map REGULAR BALANCED Map, Cayley map, Regular, Balanced
分类号 O152 [理学—基础数学]
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参考文献7

  • 1Jajcay, R.: Automorphism Groups of Cayley Maps. J. Combin. Theory Ser. B, 59(2), 297-310 (1993).
  • 2Jajcay, R.: Characterization and Construction of Cayley graphs admitting regular Cayley maps. Discrete Math., 158, 151-160 (1996).
  • 3Jajcay, R., Siran, J.: Skew-morphisms of regular Cayley maps. Discrete Math., 244, 167-179 (2002).
  • 4Richter, R. B., Siran, J., Jajcay, R., Tucker, T. W., Watkins, M. E.: Cayley maps. preprint.
  • 5Skoviera, M. and Siran, J.: Regular Maps from Cayley Graphs, Part 11 Balanced Cayley maps. Discrete Math., 109, 265- 276 (1992).
  • 6Biggs, N. L., White, A. T.: Permutation Groups and Combinatorial Structures, Cambridge University Press, Cambridge, 1979.
  • 7Zhang, Y. D.: Structures of Finite Groups I, Science Publishing Press, Beijing, 1982 (in Chinese).

引证文献4

Acta Mathematica Sinica,English Series
2005年 第4期

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