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Generalized petersen graphs which are cycle permutation graphs

✍ 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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πŸ“œ SIMILAR VOLUMES


Which generalized petersen graphs are ca
✍ Roman Nedela; Martin Ε koviera πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 572 KB

## Abstract The generalized Petersen graph __GP__ (__n, k__), __n__ ≀ 3, 1 β‰₯ __k__ < __n__/2 is a cubic graph with vertex‐set {u~j~; i Ο΅ Z~n~} βˆͺ {v~j~; i Ο΅ Z~n~}, and edge‐set {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

A Note on the Generalized Petersen Graph
✍ Marko Lovrečič SaraΕΎin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 483 KB

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

Classifying 2-extendable generalized Pet
✍ Qinglin Yu πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 559 KB

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.