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

Published 22 Sep 2025 in cs.DM and math.CO | (2509.18021v1)

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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