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arXiv · 1309.1960

Detecting an induced net subdivision

Maria Chudnovsky·Paul Seymour·Nicolas Trotignon
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Abstract

A {\em net} is a graph consisting of a triangle $C$ and three more vertices, each of degree one and with its neighbour in $C$, and all adjacent to different vertices of $C$. We give a polynomial-time algorithm to test whether an input graph has an induced subgraph which is a subdivision of a net. Unlike many similar questions, this does not seem to be solvable by an application of the "three-in-a-tree" subroutine.

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Maria Chudnovsky, Paul Seymour, Nicolas Trotignon. 2013-09-08. Detecting an induced net subdivision. https://doi.org/10.1016/j.jctb.2013.07.005

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