[PDF] Top 20 The Upper Total Edge Domination Number of a Graph

... basic graph theoretic terminology, we refer to Chartrand ...a graph if < ( )> is complete. If = { , } is an edge of a graph with ( ) = 1and ( ) > 1, then we call a pendent ... See full document

... connected graph of order . 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 ... See full document

... Circular-arc graphs are introduced as generalization of interval graphs. The class of interval graphs is properly contained in the class of circular-arc graphs. In fact every interval graph is a Circular-arc ... See full document

... The domination coloring of central and Middle graph of some special ...and total graphs with coarseness number equal; Graph theory ... See full document

... Doctor Teaching Member B¨ unyamin S ¸ahin graduated from Education Faculty, Atat¨ urk University, Erzurum, Turkey in 2008. He received his MS degree in Mathe- matics from Yıldız Teknik University in 2013. He received his ... See full document

... fuzzy edge cardinality of a regular total semi - µ strong (weak) edge domination of an IFG but need not be a minimum of sum of fuzzy vertex cardinality of a regular total semi - µ ... See full document

... the upper bounds (4), (7), (9) and (11) imply randomized algorithms to find corresponding dominating sets in a given graph ...the upper bounds (4), (7), (9) and ...α-rate domination numbers up ... See full document

... a graph. An edge which joins the same vertex is called a ...An edge that joins two distinct vertices is called a ...A graph is said to be a simple graph if it has no loops and no ... See full document

... a domination set in G if every vertex in V-S is adjacent to at least one vertex in ...Fuzzy Total Dominating set if every vertex in V is adjacent to at least one vertex in ...all total dominating set ... See full document

... The graphs considered here are finite, undirected, without loops or multiple edges and have at least one component which is not complete or at least two components neither of which are isolated vertices. Unless otherwise ... See full document

... Therefore, edge Roman star domination (ERSD, for short) is one of the variations of the edge Roman domination, which includes a restriction that the sum of the weight of the edges incident at ... See full document

... of graph theoretic parameters have been used to derive formulas to calculate network ...The graph vulnerability relates to the study of graph when some of its elements (vertices or edges) are ...of ... See full document

... We consider finite graphs without loops and multiple edges. For any graph G the set of vertices is denoted by V(G) and the edge set by E(G). We define the order of G by n = n(G) = |V(G)| and the size by m = ... See full document

... a graph G = (V,E), we mean a finite undirected connected graph without loops or multiple ...finite graph convexity space is a pair (V, E), formed by a finite connected graph G = (V, E) and a ... See full document

... in graph theory is studied by Cockayne, Hedetneimi and Dawes [1, ...the total bondage number and total domination number of windmill graph, friendship graph, ... See full document

... the domination of a vertex reduces as distance ...a number of vertices that are not too far from ...exponential domination number in this application amounts to determining the minimum ... See full document

... a graph we mean a finite, simple, connected and undirected graph G = (V,E), where V is the vertex set and E is the edge set of ...the graph G has p vertices and q ... See full document

... thirty domination parameters have been studied by different authors and in this paper, we have introduced the concept of strong edge domination in fuzzy ...The edge domination ... See full document

... the closed neighborhood of S is N[S] = N(S) ∪ S. A set D ⊆ V is a dominating set if every vertex in V – D adjacent to a vertex in D, that is N[D] = V. The domination number γ(G) of G is the minimum ... See full document

... of graph theoretic concepts such as paths, cycles connectedness ...of domination in fuzzy graphs was investigated by ...independent domination, total domination, connected ... See full document