5-cycles and the Petersen graph

We show that if G is a connected bridgeless cubic graph whose every 2-factor is comprised of cycles of length five then G is the Petersen graph.

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Hauptverfasser: DeVos, Matt, Mkrtchyan, Vahan V, Petrosyan, Samvel S
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creator DeVos, Matt
Mkrtchyan, Vahan V
Petrosyan, Samvel S
description We show that if G is a connected bridgeless cubic graph whose every 2-factor is comprised of cycles of length five then G is the Petersen graph.
doi_str_mv 10.48550/arxiv.0801.3714
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identifier DOI: 10.48550/arxiv.0801.3714
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subjects Computer Science - Discrete Mathematics
title 5-cycles and the Petersen graph
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