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arXiv · 2008.03032

Local 2-separators

Johannes Carmesin
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Abstract

How can sparse graph theory be extended to large networks, where algorithms whose running time is estimated using the number of vertices are not good enough? I address this question by introducing 'Local Separators' of graphs. Applications include: 1. A unique decomposition theorem for graphs along their local 2-separators analogous to the 2-separator theorem; 2. an exact characterisation of graphs with no bounded subdivision of a wheel.

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Johannes Carmesin. 2024-02-11. Local 2-separators. https://arxiv.org/abs/2008.03032

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