Long cycles and paths in distance graphs

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Long cycles and paths in distance graphs

For n ∈ N and D ⊆ N, the distance graph P n has vertex set {0, 1, . . . , n− 1} and edge set {ij | 0 ≤ i, j ≤ n − 1, |j − i| ∈ D}. Note that the important and very well-studied circulant graphs coincide with the regular distance graphs. A fundamental result concerning circulant graphs is that for these graphs, a simple greatest common divisor condition, their connectivity, and the existence of ...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2010

ISSN: 0012-365X

DOI: 10.1016/j.disc.2010.07.020