3 papers
math.CO2026
Universality for transversal Hamilton cycles
Candida Bowtell, Patrick Morris, Yanitsa Pehova +1
Let be a graph collection on a common vertex set of size such that for every . We show that $\mathbf…
math.CO2025
Hamilton decompositions of regular tripartite tournaments
Francesco Di Braccio, Joanna Lada, Viresh Patel +2
Kühn and Osthus conjectured in 2013 that regular tripartite tournaments are decomposable into Hamilton cycles. Somewhat surprisingly, Granet gave a simple counterexample to this c…
math.CO2025
A framework for the generalised ErdÅs-Rothschild problem and a resolution of the dichromatic triangle case
Pranshu Gupta, Yani Pehova, Emil Powierski +1
The ErdÅs-Rothschild problem from 1974 asks for the maximum number of -edge colourings in an -vertex graph which avoid a monochromatic copy of , given positive integers…