## Abstract The generalized Petersen graph __GP__ (__n, k__), __n__ β€ 3, 1 β₯ __k__ < __n__/2 is a cubic graph with vertexβset {u~j~; i Ο΅ Z~n~} βͺ {v~j~; i Ο΅ Z~n~}, and edgeβset {u~i~u~i~, u~i~v~i~, v~i~v~i+k, iΟ΅~Z~n~}. In the paper we prove that (i) __GP__(__n, k__) is a Cayley graph if and only if
Generalized petersen graphs which are cycle permutation graphs
β Scribed by S Stueckle; R.D Ringeisen
- Book ID
- 107884216
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 435 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0095-8956
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The aim of this note is to present a short proof of a result of Nedela and S8 koviera (J. Graph Theory 19 (1995, 1 11)) concerning those generalized Petersen graphs that are also Cayley graphs. In that paper the authors chose the heavy weaponry of regular maps on closed connected orientable surfaces
A graph is said to be 2-extendable if any two edges which do not have a common vertex are contained in a l-factor of the graph. In this paper, we show that the generalized Petersen graph GP(n, k) is 2-extandable for all n # 2k or 3k whenever k 2 3, as conjectured by Cammack and Schrag.