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
โฆ LIBER โฆ
Line domination in graphs
โ Scribed by S. R. Jayaram
- Book ID
- 105309458
- Publisher
- Springer Japan
- Year
- 1987
- Tongue
- English
- Weight
- 350 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
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Given a factoring of a graph, the factor domination number yr is the smallest number of nodes which dominate all factors. General results, mainly involving bounds on yr for factoring of arbitrary graphs, are presented, and some of these are generalizations of well known relationships. The special c