WebThe majority of graph theory research on parameters involved with domination, independence, and irredundance has focused on either sets of vertices or sets of edges; for example, sets of vertices that dominate all other vertices or sets of edges that dominate all other edges. There has been very little research on ``mixing'' vertices and edges. We … WebAn exact edge dominating set is denoted as ExED set. The exact edge domination number γ ′( ) of a graph equals the cardinality of a minimum exact edge dominating set.In this paper, the features of exact edge dominating sets in the given graphs are derived. Also the bounds of size and diameter of the graphs are defined in
EDGE DOMINATION IN GRAPHS - projecteuclid.org
WebIn graph theory, an edge dominating set for a graph G = ( V , E) is a subset D ⊆ E such that every edge not in D is adjacent to at least one edge in D. An edge dominating set is also known as a line dominating set. Figures (a)– (d) are examples of edge dominating sets (thick red lines). A minimum edge dominating set is a smallest edge ... WebA vertex subset D of G is a dominating set if every vertex in V(G)\D is adjacent to a vertex in D. A dominating set D is independent if G[D], the subgraph of G induced by D, contains no edge. The domination number γ(G) of a graph G is the minimum cardinality of a dominating set of G, and the independent domination number i(G) of G is the minimum cardinality … natural gray hair with dark color underneath
Domination number of some graphs - IJSDR
WebAbstract. Let G G be a (p,q) ( p, q) -graph with edge domination number γ′ γ ′ and edge domatic number d′ d ′. In this paper we characterize connected graphs for which γ′ = p/2 … WebA new linear time algorithm for finding minimum independent edge dominating sets in trees is described, based on an observed relationship between edge dominating sets and … WebThe concept of edge domination was introduced by Mitchell and Hedetniemi and it is explored by many researchers. Arumugam and Velammal have discussed the edge … mariaregina.schoology.com