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arXiv · 2608.28551

The Erdős-Hajnal Property for the six-vertex Graph with Edge Set $\{ab,bc,cd,de,af,bf,df\}$

Viet-Hoang Tran·Tan M. Nguyen
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Abstract

We prove that the six-vertex graph with edge set $\{ab,bc,cd,de,af,bf,df\}$ has the Erdős-Hajnal property. The proof adapts the iterative-sparsification method of Nguyen, Scott, and Seymour within the comb-based framework of Huang, Ju, and Zhou.

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Viet-Hoang Tran, Tan M. Nguyen. 2026-08-28. The Erdős-Hajnal Property for the six-vertex Graph with Edge Set $\{ab,bc,cd,de,af,bf,df\}$. https://arxiv.org/abs/2608.28551

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