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arXiv · 2601.11158

Vertex ordering characterizations of interval r-graphs

Indrajit Paul·Ashok Kumar Das
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Abstract

An r-partite graph is an interval r-graph if corresponding to each vertex we can assign an interval of the real line such that two vertices u and v of different partite sets are adjacent if and only if their corresponding intervals intersect. In this paper, we provide two vertex-ordering characterizations of interval r-graphs and identify forbidden patterns for interval r-graphs in terms of specific orderings of their vertices.

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Indrajit Paul, Ashok Kumar Das. 2026-01-16. Vertex ordering characterizations of interval r-graphs. https://arxiv.org/abs/2601.11158

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