𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The classification of hamiltonian generalized Petersen graphs

✍ Scribed by Brian Alspach


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
689 KB
Volume
34
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the 2-extendability of the generalize
✍ Gerald Schrag; Larry Cammack πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 731 KB

A graph G is n-extendable if it is connected, contains a set of rr independent edges and every set of n-independent edges extends to (i.e. is a subset of) a perfect matching. Combining the results of this and previous papers we answer the question of 2-extendability for all the generalized Petersen

On the crossing numbers of certain gener
✍ Dan McQuillan; R. Bruce Richter πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 484 KB

In his paper on the crossing numbers of generalized Petersen graphs, Fiorini proves that P(8, 3) has crossing number 4 and claims at the end that P(10, 3) also has crossing number 4. In this article, we give a short proof of the first claim and show that the second claim is false. The techniques are

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

On the hamiltonian path graph of a graph
✍ George R. T. Hendry πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 491 KB πŸ‘ 1 views

The hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and u are adjacent if and only if F contains a hamiltonian u -u path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian grap