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arXiv · 2509.18021

Circular-arc H-graphs: Ordering Characterizations and Forbidden Patterns

Indrajit Paul·Ashok Kumar Das
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Abstract

We introduce the class of circular-arc H-graphs, which generalizes circular-arc graphs, particularly circular-arc bigraphs. We investigate two types of ordering-based characterizations of circular-arc r-graphs. Finally, we provide forbidden patterns for circular-arc r-graphs in terms of specific vertex orderings.

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Indrajit Paul, Ashok Kumar Das. 2025-09-22. Circular-arc H-graphs: Ordering Characterizations and Forbidden Patterns. https://arxiv.org/abs/2509.18021

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