In a graph G, a vertex dominates itself and its neighbors. A subset S of V is called a dominating set in G if every vertex in V-S is adjacent to at least one vertex in S. The minimum cardinality taken over all, the minimal double dominating set which is called Fuzzy Double Domination Number and which is denoted as ) (G fdd  . A set V S  is called a Triple dominating set of a graph G if every ...

Clustering is one of the important methods for prolonging the network lifetime in Mobile AD Hoc Networks. It involves grouping of nodes into clusters and electing cluster heads (CHs) for all the clusters.CHs collect the data from respective cluster’s nodes and forward the aggregated data to main node. A major challenge in MANET is to select appropriate cluster heads. In this paper, a novel fuzz...

Connectivity index CI has a vital role in real-world problems especially Internet routing and transport network flow. Intuitionistic fuzzy graphs id="M2"> IFGs allow to describe two aspects of information using membe...

The directed rough fuzzy graph (DRFG) is a fusion of and theory, as it deals with incomplete vague information simultaneously. Connection or the strength connectivity $$(\mathcal{S}\mathcal{C})$$ vital in realm circuits networks that are linked to real world. As result, $$\mathcal{S}\mathcal{C} $$ one most essential aspects network system. neighborhood index $$(\mathcal {NCI})$$ such parameter ...

In theoretical chemistry, -modified Wiener index is a graph invariant topological index to analyze the chemical properties of molecular structure. In this note, we determine the minimum -modified Wiener index of graph with fixed connectivity or edge-connectivity. Our results also present the sufficient and necessary condition for reaching the lower bound.

the stability of a communication network composed of processing nodes and communication links is of prime importance to network designers. as the network begins losing links or nodes, eventually there is a loss in its effectiveness. thus, communication networks must be constructed to be as stable as possible, not only with respect to the initial disruption, but also with respect to the possible...

4-G mobile communications system is offering high speed data communications technology having connectivity to all sorts of the networks including 2-G and 3-G mobile networks. Authentication of a mobile subscriber (MS) or a sub network and a main network are an important issue to check and minimize security threats or attacks. An advanced artificial intelligence based mutual authentication syste...

4-G mobile communications system is offering high speed data communications technology having connectivity to all sorts of the networks including 2-G and 3-G mobile networks. Authentication of a mobile subscriber (MS) or a sub network and a main network are an important issue to check and minimize security threats or attacks. An advanced artificial intelligence based mutual authentication techn...

Abstract Rice yields in Rwanda seldom reach values expected for irrigated production, part due to poor fertilization management. To adapt well-known best practices local conditions, two fuzzy algorithms were designed conditions of rice production Rwanda. Fuzzy have a linguistic rule base 183 IF THEN statements linking measurable field crop yield. Interviews with government agricultural experts ...