Betweenness centrality in convex amalgamation of graphs

Year 2019, , 21 - 38, 19.01.2019

Sunil Kumar Raghavan Unnithan , Kannan Balakrishnan

https://doi.org/10.13069/jacodesmath.508983

Cited By: 1

Abstract

Betweenness centrality measures the potential or power of a node to control the communication
over the network under the assumption that information flows primarily over the shortest
paths between pair of nodes. The removal of a node with highest betweenness from the network
will most disrupt communications between other nodes because it lies on the largest number
of paths. A large network can be thought of as inter-connection between smaller networks by
means of different graph operations. Thus the structure of a composite graph can be studied by
analysing its component graphs. In this paper we present the betweenness centrality of some
classes of composite graphs constructed by the graph operation called amalgamation or merging.

Keywords

Betweenness centrality, Central vertex, Extreme vertex, Convex subgraph, Vertex amalgamation, Edge amalgamation, Path amalgamation, Subgraph amalgamation

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