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math.CO2026
Long cycles in vertex transitive digraphs
Matija Bucić, Kevin Hendrey, Bojan Mohar +2
One of the most well-known conjectures concerning Hamiltonicity in graphs asserts that any sufficiently large connected vertex transitive graph contains a Hamilton cycle. In this f…
math.CO2025
Small hitting sets for longest paths and cycles
Sergey Norin, Raphael Steiner, Stephan Thomassé +1
Motivated by an old question of Gallai (1966) on the intersection of longest paths in a graph and the well-known conjectures of Lovász (1969) and Thomassen (1978) on the maximum le…