Corpus ID: 237940692

# Vertebrate interval graphs

@article{Jiang2021VertebrateIG,
title={Vertebrate interval graphs},
author={Rain Jiang and Kai Jiang and Minghui Jiang},
journal={ArXiv},
year={2021},
volume={abs/2109.12140}
}
• Rain Jiang, Kai Jiang, Minghui Jiang
• Published 24 September 2021
• Computer Science, Mathematics
• ArXiv
A vertebrate interval graph is an interval graph in which the maximum size of a set of independent vertices equals the number of maximal cliques. For any fixed v ≥ 1, there is a polynomial-time algorithm for deciding whether a vertebrate interval graph admits a vertex partition into two induced subgraphs with claw number at most v. In particular, when v = 2, whether a vertebrate interval graph can be partitioned into two proper interval graphs can be decided in polynomial time.

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