May 9, 2017 · Thus a way to obtain infinitely many Cayley graphs with no. Hamilton circle is to amalgamate more than k groups over a subgroup of order k. In.
It has been conjectured there is a hamiltonian cycle in every Cayley graph. Interest in this and other closely related questions has grown in the past few ...
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Apr 3, 2018 · In this paper we prove a sufficient condition for the existence of Hamilton circles in locally finite Cayley graphs. PDF. Published. 2018-04-03.
Sep 5, 2016 · In this paper we prove of a sufficient condition for the existence of Hamilton circles in locally finite Cayley graphs. Comments: 15 pages ...
Oct 31, 2022 · A well-known question of Rapaport-Strasser asks whether every finite connected Cayley graph has a Hamilton cycle.
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This paper proves of a sufficient condition for the existence of Hamilton circles in locally finite Cayley graphs. For locally finite infinite graphs the ...
Abstract. It was conjectured about 40 years ago that every connected Cayley graph has a hamiltonian cycle. This is easy to prove for Cayley graphs on abelian ...
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For locally finite infinite graphs the notion of Hamilton cycles can be extended to Hamilton circles, homeomorphic images of $S^1$ in the Freudenthal ...
Finally, we show that all Cayley graphs of Abelian groups have Hamiltonian cycles. Further results, applications, and significance of the study of Hamiltonicity ...
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It has been conjectured that every connected Cayley graph of order greater than has a Hamilton cycle. In this paper, we prove that the Cayley graph of with ...