# The Graph Minor Algorithm with Parity Conditions

@article{Kawarabayashi2011TheGM,
title={The Graph Minor Algorithm with Parity Conditions},
author={K. Kawarabayashi and B. Reed and P. Wollan},
journal={2011 IEEE 52nd Annual Symposium on Foundations of Computer Science},
year={2011},
pages={27-36}
}
• Published 2011
• Mathematics, Computer Science
• 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science
We generalize the seminal Graph Minor algorithm of Robertson and Seymour to the parity version. We give polynomial time algorithms for the following problems:\begin{enumerate}\itemthe parity $H$-minor (Odd $K_k$-minor) containment problem, and\itemthe disjoint paths problem with $k$ terminals and the parity condition for each path, \end{enumerate}as well as several other related problems. We present an $O(m \alpha(m,n) n)$ time algorithm for these problems for any fixed $k$, where $n,m$ are the… Expand

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