Connected graphs which are not mod sum graphs
β Scribed by Martin Sutton; Mirka Miller; Joseph Ryan; Slamin
- Book ID
- 104114176
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 321 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we prove that no wheel with the exception of W4 can be a mod sum graph. We also give the unique (up to multiplication by positive integers) mod sum labelling of W4. We also prove that the symmetric complete bipartite graph K,,,, is not a mod sum graph. (~) 1999 Elsevier Science B.V. All rights reserved
π SIMILAR VOLUMES
## 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
Thomassen conjectured that every 4-connected line graph is hamiltonian. Here we shall see that 4-connected line graphs of claw free graphs are hamiltonian connected.