2 papers
math.CO2025
Longest cycles in vertex-transitive and highly connected graphs
Carla Groenland, Sean Longbrake, Raphael Steiner +2
We present progress on three old conjectures about longest paths and cycles in graphs. The first pair of conjectures, due to Lovász from 1969 and Thomassen from 1978, respectively…
math.CO2025
Improved bounds on the cop number when forbidding a minor
Franklin Kenter, Erin Meger, Jérémie Turcotte
Andreae (1986) proved that the cop number of connected -minor-free graphs is bounded for every graph . In particular, the cop number is at most if contains n…