[PDF] Top 20 ON TOTAL VERTEX-EDGE DOMINATION

... every vertex in G either is element of S or is adjacent to at least one vertex in ...The domination number of a graph G is denoted with γ(G) and it is equal to the minimum cardinality of a dominating ... See full document

... novel domination invariant defined by Boutrig and Chellali in the recent: total vertex-edge ...of total vertex edge-domination number of a ... See full document

... secure edge domination and inverse secure edge domination of an intuitionistic fuzzy graph ...between edge domination number 𝛾 , 𝑠𝑒 (𝐺 ) and inverse secure edge ... See full document

... each edge of is incident with an edge of , it follows that is a total edge dominating set of so that ( ) = ...a total edge dominating set such that | | ≥ ...a total ... See full document

... of domination in graphs was initiated by Berge ...of vertex-edge mixed domination [3] and edge-vertex mixed domination [4] on S-valued ... See full document

... A vertex in a graph G dominates itself and its ...each vertex of G is dominated by some vertex of S. The domination number γ(G) of G is the minimum cardinality of a dominating set of ...a ... See full document

... a vertex of a connected graph G and W ⊂ V(G). Then W is called a total x –edge Steiner set of G if W is an x – edge Steiner set of G and <W> has no isolated ...t total x – ... See full document

... secure total edge dominating set of G. Then F is a total edge dominating set of ...an edge dominating set of ...an edge dominating set of G. Thus F is a secure edge ... See full document

... study edge local antimagic total labeling of graph operation and determine the chromatic number of edge local antimagic total labeling of comb product ...of edge local antimagic ... See full document

... strong vertex dominating set of G (𝜎, 𝜇) if for every 𝑣 ∈ 𝑉 − 𝐷, there exists 𝑢 ∈ 𝐷 such that u dominates ...strong vertex dominating set D is called a minimal strong vertex dominating set if no ... See full document

... A vertex of degree one is called a pendant vertex and its neighbor is called a support ...The edge between a pendant vertex and a support vertex is called pendant ...an edge ... See full document

... an edge dominating set of G if every edge in is adjacent to at least one edge in ...an edge dominating set of G if for every edge , there exists an edge such that and have a ... See full document

... theory, domination of graphs is the most powerful area of research for, it has several applications in other areas of ...the vertex domination on S− valued ...of edge domination on S− ... See full document

... regular total semi - µ strong (weak) edge domination of an ...regular total semi - µ strong (weak) edge domination of an IFG is less than or equal to a ... See full document

... an edge dominating set of G ,   M is ...each vertex x i in M is adjacent to some z j  z j  u j or v k  in G ...the vertex of S G ( ) which is adjacent to both x i and z i in ( ) S G ...end ... See full document

... every vertex not in D is adjacent to at least one vertex in ...The domination number γ(G) of G is the minimum cardinality of a dominating set of ...many domination parameters are given in the ... See full document

... 3. Edge Removal from the Hypergraph: Definition ...an edge of G then G – e will denote the partial hypergraph whose vertex set is V(G) & edge set is E(G) – ... See full document

... Rosa introduced the notion of Graph labeling in 1967 [1]. In 1970 Kotzig and Rosa defined the concept of edge magic total labeling [2]. A detailed study on graph labeling has been done by Gallian [3 ]. ... See full document

... The total edge dominating set in a connected graph is called a minimal total edge dominating set if no proper subset of is a total edge dominating set of ...upper total ... See full document

... Edge-Vertex Dominating Sets of Cycles Let Dev Cn , i be the family of ev-dominating sets of Cn with cardinality i.. We investigate the ev-dominating sets of Cn.[r] ... See full document