2024 Edge domination in graphs

Edge domination in graphs

Author: mjen

August undefined, 2024

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 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 ... Web2. Pendant Edge Domination number of a Graph Consider a graph G = (V, E) of order n and size m. A subset F of an edge set of G is called a pendant edge dominating set (PEDS, in short) if each edge not in F is incident to some edge in F and edge induced subgraph hF i contains an edge of degree one. The minimum number of edges in a PEDS of G is ...

Vertex-edge domination in graphs Semantic Scholar

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 … WebJun 1, 1980 · A 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 independent sets in total ... check mbpj assessment

Edge Domination in Some Path and Cycle Related Graphs - Hindawi

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 ... WebOct 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 … 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 … flat business structure definition

(PDF) New edge neighborhood graphs Ali Ali - Academia.edu

Domination and Independent Domination in Hexagonal Systems

WebYou can find vacation rentals by owner (RBOs), and other popular Airbnb-style properties in Fawn Creek. Places to stay near Fawn Creek are 198.14 ft² on average, with prices … WebCONNECTED DOMINATION IN GRAPHS AND V-NUMBERS OF BINOMIAL EDGE IDEALS 5 Remark 2.2. Since P∅(G) does not contain monomials, it follows that PS(G) ⊆ P∅(G) for every S. Thus, by Theorem 2.1, P∅(G) is a minimal prime of JG.In particular, when G is connected, flat business structure diagramWebAug 6, 2008 · An efficient edge dominating set (EEDS) of G is an induced matching that dominates every edge of G. Every edge of P 4 is an IM. Only the interior edge is an … flat bust meaning

"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 … " - Edge domination in graphs

Edge domination in graphs

Efficient edge domination in regular graphs - ScienceDirect

WebAn edge dominating set which intersects every minimum edge covering set in a graph Gis called an edge covering transversal edge dominating set of G. The minimum cardinality of an edge covering transversal edge dominating set is called an edge covering transversal edge domination number of Gand is denoted by \gamma_{eect}(G). 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 …

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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. WebJun 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 …

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. WebFor a graph , a subset of is called an edge dominating set of if every edge not in is adjacent to some edge in . The edge domination number of is the minimum cardinality taken …

WebJan 13, 2024 · The dominating theory has received considerable attention in recent years for its strong applicability. The classical domination function has developed to the signed domination and the signed edge-domination (Xu 2001).The domatic number of G, denoted by d(G) and introduced by Cockayne and Hedetniemi (Cockayne and … 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 …

WebJun 1, 2006 · A signed edge domination function (or SEDF) of a simple graph G=(V,E) is a function f:E→{1,−1} such that ∑e′∈N[e]f(e′)≥1 holds for each edge e∈E, where N[e] is the …

WebJun 12, 2024 · Consider a graph G with vertex set V(G) and edge set E(G) (we assume throughout that all graphs are simple, that is, without loops and multiple edges, as neither of these affect domination).Let S be a subset of vertices or edges such that S has a particular graph property, P.Perhaps P is that S is independent, complete, a dominating set or a … check mbr or gpt windows 10 cmdWebNov 6, 2014 · Let G = (V, E) be a graph with vertex set V and edge set E.A subset F ⊆ E is an edge total dominating set if every edge e ∈ E is adjacent to at least one edge in F.The edge total domination problem is to find a minimum edge total dominating set of G.In the present paper, we prove that the edge total domination problem is NP-complete for … check mbps your internetWebSep 11, 2024 · In a graph G= (V,E), a vertex v\in V is said to ve - dominate the edges incident on v as well as the edges adjacent to these incident edges on v. A set … check mbr bootable usbWebLet G be a (p,q) –graph with edge domination number í µí»¾ ′ and total edge domination number í µí»¾ í µí±¡ ′. In this paper we investigate the structure of graphs in which some of the edge domination parameters are equal. We characterize graphs for … flat button ageWebThen, the induced subgraph (Ue) of G is called edge neighborhood graph of e in G and is denoted NQ(C). The edge neighborhood version of the problem of Zykov is the following. Charac- terize the graphs H with the property that there exists a graph G such that Nc(e) is isomorphic to H, (i.e., Nc(e) = H) for each edge e of G. flat bus tireWebA 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 … flat bus vectorWebOct 23, 2024 · Fang Miao, Wenjie Fan, M. Chellali, R. Khoeilar, S. M. Sheikholeslami, M. Soroudi. Mathematics. Mathematics. 2024. A vertex v of a graph G = ( V , E ) , ve … flat business casual shoes