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math.CO2018★ 5 cited
A localization method in Hamiltonian graph theory
Armen S. Asratian, Jonas B. Granholm, Nikolay K. Khachatryan
The classical global criteria for the existence of Hamilton cycles only apply to graphs with large edge density and small diameter. In a series of papers Asratian and Khachatryan d…
math.CO2018★ 1 cited
Some local--global phenomena in locally finite graphs
Armen S. Asratian, Jonas B. Granholm, Nikolay K. Khachatryan
In this paper we present some results for a connected infinite graph with finite degrees where the properties of balls of small radii guarantee the existence of some Hamiltonia…