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arXiv · 2006.01678

The Weisfeiler-Leman dimension of chordal bipartite graphs without bipartite claw

Ilia Ponomarenko·Grigory Ryabov
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Abstract

A graph $X$ is said to be chordal bipartite if it is bipartite and contains no induced cycle of length at least $6$. It is proved that if $X$ does not contain bipartite claw as an induced subgraph, then the Weisfeiler-Leman dimension of $X$ is at most $3$. The proof is based on the theory of coherent configurations.

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Ilia Ponomarenko, Grigory Ryabov. 2020-06-02. The Weisfeiler-Leman dimension of chordal bipartite graphs without bipartite claw. https://doi.org/10.1007/s00373-021-02308-7

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