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Genus polynomials of cycles with double edges.
- Source :
-
Acta Mathematica Sinica . Mar2011, Vol. 27 Issue 3, p595-606. 12p. - Publication Year :
- 2011
-
Abstract
- Two cellular embeddings i: G → S and j: G → S of a connected graph G into a closed orientable surface S are equivalent if there is an orientation-preserving surface homeomorphism h: S → S such that hi = j. The genus polynomial of a graph G is defined by where a is the number of equivalence classes of embeddings of G into the orientable surface S with g genera. In this paper, we compute the genus polynomial of a graph obtained from a cycle by replacing each edge by two multiple edges. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 27
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 57767352
- Full Text :
- https://doi.org/10.1007/s10114-011-9260-2