Fuzzy competition graph as a generalization of is introduced here. Two generalizations fuzzy k-competition graphs and p-competition are also defined. These related to digraphs. neighbourhood graphs, defined Besides, some relations between have been established. And finally, several results find strong edges the above mentioned

Fuzzy planar graph is a very important subclass of fuzzy graph. In this paper, two types edges are mentioned for graphs: effective and considerable edges. addition, comparative study between Kuratowski's graphs made. A new concept strong introduced. Some related results established. These have certain applications in subway tunnels, routes, oil/gas pipelines representation, etc. It also shown that an image can be represented by graph, contraction such made with the help

Recently, bipolar fuzzy graph is a growing research topic as it the generalization of graphs. In this paper, at first we define three new operations on graphs, viz. direct product, semi strong product and product. Likewi

Theoretical concepts of graphs are highly utilized by computer science applications.Especially in research areas such as data mining, image segmentation, clustering, capturing and networking.In this paper, we discussed some properties the μ-complement bipolar fuzzy graphs.Self self weak defined a necessary condition for graph to be is given.We busy vertices free studied their under an isomorphism.Categorical discussed.Also, investigated isomorphism on graphs.

The most critical task of a social network is to identify central node. Numerous methods for determining centrality are documented in the literature. It contributes online commerce by disseminating news, advertisements and other content via nodes. Existing capture node’s direct reachability. This study introduces novel method quantifying fuzzy environment. measurement takes into account reachability nodes their connections. Several properties have been demonstrated. A small Facebook used...

In this paper, we define some basic concepts of bipolar fuzzy hypergraphs, cut level dual hypergraphs and transversal. Also theorems related to the stated graphs have been presented.

Fuzzy planar graph is an important subclass of fuzzy graph. graphs and its several properties are presented. A very close association dual This also defined it studied. Isomorphism on well in literature. Isomorphic relation between established.

The concepts of graph theory are applied in many areas computer science including data mining, image segmentation, clustering, capturing and networking. It is also known that lots uncertainties occur these areas. To handle the uncertainty occurs theory, fuzzy successfully used problems. A bipolar set a generalization set. In this paper, two new operations on graphs, viz. normal product tensor product, defined. Also, degrees vertices resultant graphs which obtained from given G1 G2 using...

Prediction of links/ connections in social networks is useful for increasing business the area telecom and media. All types networking organization are trying to increase their nodes, i.e. number members. So calculation link prediction most important task because this will help how user on a network. A new technique prediction, namely RSM index, introduced paper. Few essential properties have been established. Also, comparative study with existing methods depicted suitable tables graphs.

In this paper, we define irregular bipolar fuzzy graphs and its various classifications. Size of regular is derived. The relation between highly neighbourly are established. Some basic theorems related to the stated have also been presented.

Fuzzy graphs are the backbone of many real systems like networks, image, scheduling, etc. But, due to some restriction on edges, fuzzy limited represent for systems. Generalized appropriate avoid such restrictions. In this study generalized introduced. study, matrix representation is described. Completeness and regularity two important parameters graph theory. Here, regular complete Some properties them discussed. After that, effective exemplified.