A Deterministic Polynomial Kernel for Odd Cycle Transversal

Tomohiro Koana; Soh Kumabe

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arXiv · 2609.29141

A Deterministic Polynomial Kernel for Odd Cycle Transversal

Tomohiro Koana·Soh Kumabe

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Abstract

We give a deterministic polynomial kernel for Odd Cycle Transversal, derandomizing the randomized kernel of Kratsch and Wahlström (TALG 2014). Our algorithm uses a deterministic polynomial-time construction of almost multilinear representations of gammoids. Such a representation assigns a block of columns to each element so that, for every subset of elements, the normalized matrix rank approximates its matroid rank to within a prescribed additive error $δ$. The construction builds on recent breakthroughs in NC algorithms for matching. Our kernelization algorithm then computes the required representative families from these representations.

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BibTeX RIS

Tomohiro Koana, Soh Kumabe. 2026-09-24. A Deterministic Polynomial Kernel for Odd Cycle Transversal. https://arxiv.org/abs/2609.29141

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