2 papers
math.CO2025
Vu's conjecture holds for claw-free graphs
Linda Cook, Ross J. Kang, Eileen Robinson +1
Given a graph , let denote the maximum number of neighbors any two distinct vertices of have in common. Vu (2002) proposed that, provided is not too smal…
math.CO2024
Excluding the fork and antifork
Maria Chudnovsky, Linda Cook, Paul Seymour
The fork is the tree obtained from the claw by subdividing one of its edges once, and the antifork is its complement graph. We give a complete description of all graphs t…