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Electronic Journal of Combinatorics
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Hamilton Circles in Cayley Graphs

Hamilton circles in Cayley graphs
Authors: Babak Miraftab; Tim Rühmann;

Hamilton Circles in Cayley Graphs

Abstract

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.

Related Organizations
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold