Open AccessQuotient tree partitioning of undirected graphs
Author(s) -
Anders Edenbrandt
Publication year - 1986
Publication title -
bit numerical mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.904
H-Index - 59
eISSN - 1572-9125
pISSN - 0006-3835
DOI - 10.1007/bf01933740
Subject(s) - quotient , combinatorics , mathematics , undirected graph , graph , discrete mathematics , tree (set theory)
The partitioning of the vertices of an undirected graph, in a way that makes its quotient graph a tree, mirrors a way of permuting a square symmetric matrix to allow its factoring with little fil-in. We analyze the complexity of finding the best partitioning and show that it is NP-complete. We also give a new and simpler implementation of an algorithm that finds a maximal quotient tree.
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