대한수학회지 (Journal of the Korean Mathematical Society)

  • 제35권1호
  • /
  • Pages.225-234
  • /
  • 1998
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

GENUS DISTRIBUTIONS FOR BOUQUETS OF DIPOLES

  • Jin Hwan Kim (Department of Mathematics Education Yeungnam University Kyongsan 712-749, Korea) ;
  • Jaeun Lee (Department of Mathematics Yeungnam University, Kyongsan 712-749, Korea)
  • 발행 : 1998.02.01
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초록

We compute genus distributions for bouquets of dipoles by using the method concerning the cycle structure of permutations in the symmetric group. From this, we can deduce that every bouquet of dipoles is upper embeddable. We find a foumula for computing the embedding polynomials for bouquets of dipoles.

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참고문헌

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  3. J. Graph Theory v.11 Hierarchy for Imbedding Distribution Invariants of a Graph J.L Gross;M. Furst
  4. J. Combin. Theory, Ser. B v.47 Genus Distributions for Bouquets of Circles J.L Cross;D.P. Robbins;T.W. Tucker
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  8. Western Michigan University R.G. Rieper
  9. J. Combin. Theory, Ser. B v.26 How to determine the maximum genus of a graph N.H. Xuong
  10. Graphs, Groups and Surfaces A. T. White