## Abstract A set __S__ of vertices in a graph __G__ is a total dominating set of __G__ if every vertex of __G__ is adjacent to some vertex in __S__. The minimum cardinality of a total dominating set of __G__ is the total domination number ฮณ~t~(__G__) of __G__. It is known [J Graph Theory 35 (2000)
โฆ LIBER โฆ
Regular Graphs with No Homomorphisms onto Cycles
โ Scribed by I.M. Wanless; N.C. Wormald
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 97 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
โฆ Synopsis
We prove the existence of d-regular graphs with arbitrarily large girth and no homomorphism onto the cycle C s , where (d, s)=(3, 9) and (4, 5).
๐ SIMILAR VOLUMES
Total domination in 2-connected graphs a
โ
Michael A. Henning; Anders Yeo
๐
Article
๐
2009
๐
John Wiley and Sons
๐
English
โ 272 KB
๐ 1 views
A structure theorem for graphs with no c
โ
Nicolas Trotignon; Kristina Vuลกkoviฤ
๐
Article
๐
2010
๐
John Wiley and Sons
๐
English
โ 321 KB
## Abstract We give a structural description of the class ๐ of graphs that do not contain a cycle with a unique chord as an induced subgraph. Our main theorem states that any connected graph in ๐ is either in some simple basic class or has a decomposition. Basic classes are chordless cycles, cliqu
There Exists no Distance-regular Graph w
โ
D.G. Fon-Der-Flaass
๐
Article
๐
1993
๐
Elsevier Science
๐
English
โ 83 KB