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Forcing Hamiltonicity in locally finite graphs via forbidden induced subgraphs II: paws

In this paper we extend a result about a sufficient condition for Hamiltonicity for finite graphs by Broersma and Veldmann to locally finite graphs. In order to do this we use topological circles within the Freudenthal compactification of a locally finite graph as infinite cycles. The condition we focus on in this paper is in terms of forbidden induced subgraphs, namely being claw-free and a relaxation of being paw-free.

preprint2020arXivOpen access
Karl HeuerDeniz Sarikaya
math.CO
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Karl HeuerDeniz Sarikaya

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