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arXiv · 1505.03481

Relations Between Adjacency and Modularity Graph Partitioning

Hansi Jiang·Carl Meyer
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Abstract

This paper develops the exact linear relationship between the leading eigenvector of the unnormalized modularity matrix and the eigenvectors of the adjacency matrix. We propose a method for approximating the leading eigenvector of the modularity matrix, and we derive the error of the approximation. There is also a complete proof of the equivalence between normalized adjacency clustering and normalized modularity clustering. Numerical experiments show that normalized adjacency clustering can be as twice efficient as normalized modularity clustering.

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Hansi Jiang, Carl Meyer. 2015-05-09. Relations Between Adjacency and Modularity Graph Partitioning. https://doi.org/10.1007/978-3-031-33377-4_15

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