ISOMORPHISM-CLASSES OF CYCLE PERMUTATION GRAPHS
SCIE
SCOPUS
- Title
- ISOMORPHISM-CLASSES OF CYCLE PERMUTATION GRAPHS
- Authors
- KWAK, JH; LEE, J
- Date Issued
- 1992-08-14
- Publisher
- ELSEVIER SCIENCE BV
- Abstract
- In this paper, we construct a cycle permutation graph as a covering graph over the dumbbell graph, and give a new characterization of when two given cycle permutation graphs are isomorphic by a positive or a negative natural isomorphism. Also, we count the isomorphism classes of cycle permutation graphs up to positive natural isomorphism, and find the number of distinct cycle permutation graphs isomorphic to a given cycle permutation graph by a positive/negative natural isomorphism. As a consequence, we obtain a formula for finding the number of double cosets of the dihedral group in the symmetric group.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/22168
- DOI
- 10.1016/0012-365X(92)90137-5
- ISSN
- 0012-365X
- Article Type
- Article
- Citation
- DISCRETE MATHEMATICS, vol. 105, no. 1-3, page. 131 - 142, 1992-08-14
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