منابع مشابه
Total Bondage Number of a Graph
A set D of a vertices in a graph G = (V,E) is said to be a total dominating set of G if every vertex in V is adjacent to some vertex in D. The total domination number γt(G) is the minimum cardinality of a total dominating set. If γt(G) = |V (G)| , the minimum cardinality of a set E0 ⊆ E(G), such that G−E0 contains no isolated vertices and γt(G− E0) > γt(G), is called the total bondage number of...
متن کاملBondage and Non-bondage Number of a Fuzzy Graph
In this paper, bondage and non-bondage set of a fuzzy graph are discussed. The bondage number b(G) and non-bondage number bn(G) of a fuzzy graph G are defined. The upper bound for both b(G) and bn(G) are given. Also some results on b(G) and bn(G) are discussed. The exact values of b(G) and bn(G) are determined for several classes of fuzzy graphs. AMS Subject Classification: 03E72, 05C40, 05C72
متن کامل2−bondage Number of a Fuzzy Graph
In this paper, 2−bondage set of a fuzzy graph G is defined. The 2−bondage number, b2(G) is the minimum cardinality among all 2−bondage sets of G. The condition for a 2−bondage set of a fuzzy graph to be a bondage set is also given. The exact values of b2(G) is determined for several classes of fuzzy graphs.
متن کاملThe bondage number of a graph
The bondage number b(G) of a non empty graph G is the minimum number of edger whose removal from G results in a graph having domination number greater than the domination number of G. In this paper we characterize graphs for which b(G) = p − 1 and b(G) = (γ − 1)+̇1. We also introduce the concept of uniform bondage number bu(G) and determine the exact value of bu(G) for several classes of graphs....
متن کاملDOMINATION NUMBER OF TOTAL GRAPH OF MODULE
Let $R$ be a commutative ring and $M$ be an $R$-module with $T(M)$ as subset, the set of torsion elements. The total graph of the module denoted by $T(Gamma(M))$, is the (undirected) graph with all elements of $M$ as vertices, and for distinct elements $n,m in M$, the vertices $n$ and $m$ are adjacent if and only if $n+m in T(M)$. In this paper we study the domination number of $T(Gamma(M))$ a...
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ژورنال
عنوان ژورنال: Journal of Scientific Research
سال: 2018
ISSN: 2070-0245,2070-0237
DOI: 10.3329/jsr.v10i3.33940