The Erdős-Hajnal Property for the six-vertex Graph with Edge Set $\{ab,bc,cd,de,af,bf,df\}$
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Tran, Viet-Hoang, Nguyen, Tan M.
Institution: National University of Singapore
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204848079