15 citations · 34 across the 12 of their papers we have counts for
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math.CO2019
On the Infinite Lucchesi-Younger Conjecture I
J. Pascal Gollin, Karl Heuer
A dicut in a directed graph is a cut for which all of its edges are directed to a common side of the cut. A famous theorem of Lucchesi and Younger states that in every finite digra…
math.CO2019★ 12 cited
A sufficient local degree condition for Hamiltonicity in locally finite claw-free graphs
Karl Heuer
Among the well-known sufficient degree conditions for the Hamiltonicity of a finite graph, the condition of Asratian and Khachatrian is the weakest and thus gives the strongest res…
math.CO2019★ 15 cited
A sufficient condition for Hamiltonicity in locally finite graphs
Karl Heuer
Using topological circles in the Freudenthal compactification of a graph as infinite cycles, we extend to locally finite graphs a result of Oberly and Sumner on the Hamiltonicity o…