On $k$-Walk-Regular Graphs

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On k-Walk-Regular Graphs

Considering a connected graph G with diameter D, we say that it is k-walk-regular, for a given integer k (0 ≤ k ≤ D), if the number of walks of length l between vertices u and v only depends on the distance between them, provided that this distance does not exceed k. Thus, for k = 0, this definition coincides with that of walk-regular graph, where the number of cycles of length l rooted at a gi...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2009

ISSN: 1077-8926

DOI: 10.37236/136