
arXiv: 1609.01119
For locally finite infinite graphs the notion of Hamilton cycles can be extended to Hamilton circles, homeomorphic images of $S^1$ in the Freudenthal compactification. In this paper we prove a sufficient condition for the existence of Hamilton circles in locally finite Cayley graphs.
ends, infinite graphs, Eulerian and Hamiltonian graphs, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, Hamilton circles, Combinatorics and topology in relation with holomorphic dynamical systems, 05C25, 05C45, 05C63, 20E06, 20F05, 37F20, Cayley graphs, Graphs and abstract algebra (groups, rings, fields, etc.), Infinite graphs, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Hamilton cycles
ends, infinite graphs, Eulerian and Hamiltonian graphs, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, Hamilton circles, Combinatorics and topology in relation with holomorphic dynamical systems, 05C25, 05C45, 05C63, 20E06, 20F05, 37F20, Cayley graphs, Graphs and abstract algebra (groups, rings, fields, etc.), Infinite graphs, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Hamilton cycles
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