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arXiv · 1505.07341

Improper Interval Graphs and the Corresponding Minimal Forbidden Interval Subgraphs

Jeffrey J. Beyerl·Wayne Wallace
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Abstract

An interval graph is considered improper if and only if it has a representation such that an interval contains another interval. Previously these have been investigated in terms of balance and minimal forbidden interval subgraphs for the class of 1-improper interval graphs. This paper investigates the minimal forbidden interval sub-graphs further, generalizing results to all p-improper interval graphs. It is apparent that there are many different types of possible minimal forbidden subgraphs that fall into four broad categories.

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Jeffrey J. Beyerl, Wayne Wallace. 2015-05-27. Improper Interval Graphs and the Corresponding Minimal Forbidden Interval Subgraphs. https://arxiv.org/abs/1505.07341

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