English

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

Discrete Mathematics 2025-09-23 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.2509.18021,
  title  = {Circular-arc H-graphs: Ordering Characterizations and Forbidden Patterns},
  author = {Indrajit Paul and Ashok Kumar Das},
  journal= {arXiv preprint arXiv:2509.18021},
  year   = {2025}
}
R2 v1 2026-07-01T05:50:06.299Z