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arXiv · 1906.06200

A local characterization for perfect plane near-triangulations

Sameera M. Salam·Jasine Babu·K. Murali Krishnan
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Abstract

We derive a local criterion for a plane near-triangulated graph to be perfect. It is shown that a plane near-triangulated graph is perfect if and only if it does not contain either a vertex, an edge or a triangle, the neighbourhood of which has an odd hole as its boundary. The characterization leads to an $O(n^2)$ algorithm for checking perfectness of plane near-triangulations.

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Sameera M. Salam, Jasine Babu, K. Murali Krishnan. 2019-06-14. A local characterization for perfect plane near-triangulations. https://arxiv.org/abs/1906.06200

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