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math.CO2026
Erdős-Pósa property of rooted tree minors
Quentin Claus, Gwenaël Joret, Clément Rambaud +1
Fiorini, Joret, and Wood (2013) showed that tree minors satisfy the so-called Erdős-Pósa property with a linear bound: For every tree there exists a constant such th…
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 small…
math.CO2025
Chromatic discrepancy of locally -colourable graphs
Timothée Corsini, Lucas Picasarri-Arrieta, Théo Pierron +2
The chromatic discrepancy of a graph , denoted , is the least over all proper colourings of of the greatest difference between the number of colours sp…