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arXiv:1906.01723 [math.CO]AbstractReferencesReviewsResources

A Best Possible Result for the Square of a 2-Block to be Hamiltonian

Jan Ekstein, Herbert Fleischner

Published 2019-06-04Version 1

It is shown that for any choice of four different vertices x_1,...,x_4 in a 2-block G of order p>3, there is a hamiltonian cycle in G^2 containing four different edges x_iy_i of E(G) for certain vertices y_i, i=1,2,3,4. This result is best possible.

Comments: 12 pages
Categories: math.CO
Subjects: 05C38, 05C45
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