Efficient edge domination in regular graphs
โ Scribed by Domingos M. Cardoso; J. Orestes Cerdeira; Charles Delorme; Pedro C. Silva
- Book ID
- 108112745
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 536 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let G be a simple graph of order n. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. Motivated by work of Cockayne et al. (1991) and Cockayne and Mynhardt (1989), we investigate the maximum value of the product of th
In answer to the open questions proposed by Henning and Slater, we give sharp upper bounds on the upper signed domination number of a regular graph and on the signed domination number of a connected cubic graph. Let G = (V, E) be a simple graph. For v E V, we denote by d(u) the degree of v in V, by
This paper generalizes dominating and efficient dominating sets of a graph. Let G be a graph with vertex set V(G). If f: V(G) ~ Y, where Y is a subset of the reals, the weight off is the sum of f(v) over all ve V(G). If the closed neighborhood sum off(v) at every vertex is at least 1, thenfis called