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A fast algorithm for minimum weight odd cuts and circuits in planar graphs

Research output: Contribution to journalJournal article

Published

Journal publication date2005
JournalOperations Research Letters
Journal number6
Volume33
Number of pages4
Pages625-628
Original languageEnglish

Abstract

We give a simple O(n^{3/2} log n) algorithm for finding a minimum weight odd circuit in planar graphs. By geometric duality, the same algorithm can be used to find minimum weight odd cuts. For general sparse graphs, the fastest known algorithms for these two problems take O(n^2 log n) time and O(n^3 log n) time, respectively.