منابع مشابه
Domination and Signed Domination Number of Cayley Graphs
In this paper, we investigate domination number as well as signed domination numbers of Cay(G : S) for all cyclic group G of order n, where n in {p^m; pq} and S = { a^i : i in B(1; n)}. We also introduce some families of connected regular graphs gamma such that gamma_S(Gamma) in {2,3,4,5 }.
متن کاملOn the super domination number of graphs
The open neighborhood of a vertex $v$ of a graph $G$ is the set $N(v)$ consisting of all vertices adjacent to $v$ in $G$. For $Dsubseteq V(G)$, we define $overline{D}=V(G)setminus D$. A set $Dsubseteq V(G)$ is called a super dominating set of $G$ if for every vertex $uin overline{D}$, there exists $vin D$ such that $N(v)cap overline{D}={u}$. The super domination number of $G$ is the minimum car...
متن کاملTotal Roman domination subdivision number in graphs
A {em Roman dominating function} on a graph $G$ is a function $f:V(G)rightarrow {0,1,2}$ satisfying the condition that every vertex $u$ for which $f(u)=0$ is adjacent to at least one vertex $v$ for which $f(v)=2$. A {em total Roman dominating function} is a Roman dominating function with the additional property that the subgraph of $G$ induced by the set of all vertices of positive weight has n...
متن کاملSIGNED ROMAN DOMINATION NUMBER AND JOIN OF GRAPHS
In this paper we study the signed Roman dominationnumber of the join of graphs. Specially, we determine it for thejoin of cycles, wheels, fans and friendship graphs.
متن کاملDomination Number of Cartesian Products of Graphs
Recall these definitions (from [2]): Definition (p. 116). In a graph G, a set S ⊆ V (G) is a dominating set if every vertex not in S has a neighbor in S. The domination number γ (G) is the minimum size of a dominating set in G. Definition (p. 193). The cartesian product of G and H, written G H, is the graph with vertex set V (G) × V (H) specified by putting (u, v) adjacent to (u′, v′) if and on...
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ژورنال
عنوان ژورنال: International Journal of Emerging Research in Management and Technology
سال: 2018
ISSN: 2278-9359
DOI: 10.23956/ijermt.v6i11.55