An independent set C of vertices in a graph is an e cient dominating set (or perfect code) when each vertex not in C is adjacent to exactly one vertex in C. An E-chain is a countable family of nested graphs, each of which has an e cient dominating set. The Hamming codes in the n-cubes provide a clas
โฆ LIBER โฆ
Subgroups as efficient dominating sets in Cayley graphs
โ Scribed by Tamizh Chelvam, T.; Mutharasu, Sivagnanam
- Book ID
- 120191162
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 198 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Efficient dominating sets in Cayley grap
โ
Italo J. Dejter; Oriol Serra
๐
Article
๐
2003
๐
Elsevier Science
๐
English
โ 506 KB
Perfect domination sets in Cayley graphs
โ
Kwon, Young Soo; Lee, Jaeun
๐
Article
๐
2014
๐
Elsevier Science
๐
English
โ 371 KB
Efficient open domination in Cayley grap
โ
T. Tamizh Chelvam; Sivagnanam Mutharasu
๐
Article
๐
2012
๐
Elsevier Science
๐
English
โ 230 KB
Independent perfect domination sets in C
โ
Jaeun Lee
๐
Article
๐
2001
๐
John Wiley and Sons
๐
English
โ 92 KB
๐ 1 views
## Abstract In this paper, we show that a Cayley graph for an abelian group has an independent perfect domination set if and only if it is a covering graph of a complete graph. As an application, we show that the hypercube __Q~n~__ has an independent perfect domination set if and only if __Q~n~__ i
Dominating Sets in Planar Graphs
โ
Lesley R. Matheson; Robert E. Tarjan
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 174 KB
Dominating Sets in Chordal Graphs
โ
Booth, Kellogg S.; Johnson, J. Howard
๐
Article
๐
1982
๐
Society for Industrial and Applied Mathematics
๐
English
โ 977 KB