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Spectral bounds for graph partitioning with prescribed partition sizes.
- Source :
-
Discrete Applied Mathematics . Sep2019, Vol. 269, p200-210. 11p. - Publication Year :
- 2019
-
Abstract
- Given an undirected edge weighted graph, the graph partitioning problem consists in determining a partition of the node set of the graph into subsets of prescribed sizes, so as to maximize the sum of the weights of the edges having both endpoints in the same subset. We introduce a new class of bounds for this problem relying on the full spectral information of the weighted adjacency matrix A. The expression of these bounds involves the eigenvalues and particular geometrical parameters defined using the eigenvectors of A. A connection is established between these parameters and the maximum cut problem. We report computational results showing that the new bounds compare favorably with previous bounds in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CUTTING stock problem
*EIGENVECTORS
*SEMIDEFINITE programming
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 269
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 139008646
- Full Text :
- https://doi.org/10.1016/j.dam.2019.06.007