Edge domination in graphs
WebMay 24, 2024 · Hello, I Really need some help. Posted about my SAB listing a few weeks ago about not showing up in search only when you entered the exact name. I pretty … WebApr 8, 2024 · Given two graphs G 1 , with vertices 1,2,⋯,n and edges e 1 ,e 2 ,⋯,e m , and G 2 , the edge corona G 1 G 2 of G 1 and G 2 is defined as the graph obtained by taking m copies of G 2 and for ...
Edge domination in graphs
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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 … WebApr 10, 2024 · The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and originally motivated by problems in algebraic coding theory. In this paper we study the case of binomial edge ideals and we establish a significant connection between their v-numbers and the concept of connected domination in graphs.
WebKeywords: fractional domination, graph products, prisms of graphs. 2000 Mathematics Subject Classification: 05C69. Throughout let us assume that graphs are finite and simple; our notation concurs with [3]. Let G = (V, E) be a graph; the (closed) neighbourhood N [v] of a vertex v ∈ V consists of v itself and all vertices u ∈ V such that u ∼ v. WebApr 21, 2024 · In this paper, we study the problem of deciding whether the total domination number of a given graph G can be reduced using exactly one edge contraction (called 1 …
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 … 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 …
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WebWhether it's raining, snowing, sleeting, or hailing, our live precipitation map can help you prepare and stay dry. duty free niagara fallsWebWe say that an edge x, e-dominates an edge y if y ∈ (N[x]). A set L ⊆ E is an Edge-Edge Dominating Set (EED-set) if every edge in E-L is e-dominated by an edge in L. The edge-edge domination number γ ee (G) is the cardinality of a minimum EED-set. We find the relation ship between the new parameter and some known graph parameters. crystal rouge white oudWebAbstract. 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 γ ′ = p / 2 and graphs for which γ′+d′ =q+1 γ ′ + d ′ = q + 1. We also characterize trees and unicyclic graphs for which γ′ = ⌊p/2⌋ γ ... crystal river tours tickets \u0026 excursionsWebApr 10, 2024 · A set S of vertices of a graph G is called a dominating set of G if every vertex in V (G)\setminus S is adjacent to at least one vertex in S. The domination number of G, denoted by \gamma (G), is the minimum cardinality of a dominating set of G. The concept of semitotal domination in graphs was introduced by Goddard et al. ( 2014 ). crystal shop bismarck ndWebOct 23, 2024 · Abstract. We establish that for any connected graph G of order n \ge 6, a minimum vertex-edge dominating set of G has at most n … duty free niagaraWebJun 15, 2006 · The signed edge domination number of G is defined as γ s ′ (G) = min {∑ e ∈ E f (e) f is an SEDF of G}. And define γ s ′ (K ¯ n) = 0 for all totally disconnected … duty free montreal airportWebApr 10, 2024 · Download Citation Connected domination in graphs and v-numbers of binomial edge ideals The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and originally ... duty free nicaragua