On the Independent Domination Number of Regular Graphs
โ Scribed by Wayne Goddard, Michael A. Henning, Jeremy Lyle, Justin Southey
- Book ID
- 120770367
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 288 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0218-0006
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
For a graph G, the definitions of doknation number, denoted y(G), and independent domination number, denoted i(G), are given, and the following results are obtained: oorollrrg 1. For any graph G, y(L(G)) = i@(G)), where Z,(G) is the line graph of G. (This $xh!s t.lic rtsult ~(L(T))~i(L(T)), h w ere
We prove a new upper bound on the independent domination number of graphs in terms of the number of vertices and the minimum degree. This bound is slightly better than that of Haviland (1991) and settles the case 6 = 2 of the corresponding conjecture by Favaron (1988). @ 1998 Elsevier Science B.V. A