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

Published: September 22, 2025 | arXiv ID: 2509.18021v1

By: Indrajit Paul, Ashok Kumar Das

Potential Business Impact:

Helps computers understand complex graph patterns.

Business Areas:
Data Visualization Data and Analytics, Design, Information Technology, Software

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.

Page Count
22 pages

Category
Computer Science:
Discrete Mathematics