• COMPARISON OF LAPLACIAN CENTRALITY WITH SOME NODE CENTRALITY MEASURES

A. BHARALI*, D. BARUAH

Abstract


The centrality measure of nodes plays a vital role in network analysis. Laplacian Centrality of a node is the relative change in the Laplacian Energy of the network due to removal of the node. The object of the paper is twofold. First, we discuss the Laplacian Centrality and its graph theoretic perspective. Second, we present a comparative study of Laplacian Centrality with some standard node centrality measures applying on classic synthetic and real network data sets.


Keywords


Laplacian Centrality, Node Centrality, Barabási-Albert Network, Watts-Strogatz Network, Dolphins Network, American Football Network, ANI (Airport Network of India).

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