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math.CO2024★ 1 cited
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.CO2024
Optimal bounds for zero-sum cycles. I. Odd order
Rutger Campbell, J. Pascal Gollin, Kevin Hendrey +1
For a finite (not necessarily Abelian) group , let denote the smallest positive integer such that for every labelling of the arcs of the comple…