k-Walk-Regular Digraphs |
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Authors: | Wen LIU Jing LIN |
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Institution: | 1. Mathematics and Information College, Hebei Normal University, Hebei, 050016, P.R.China 2. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P.R.China |
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Abstract: | In this paper,we define a class of strongly connected digraph,called the k-walk- regular digraph,study some properties of it,provide its some algebraic characterization and point out that the 0-walk-regular digraph is the same as the walk-regular digraph discussed by Liu and Lin in 2010 and the D-walk-regular digraph is identical with the weakly distance-regular digraph defined by Comellas et al in 2004. |
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Keywords: | k-walk-regular digraph predistance polynomial the crossed uv-local multiplicity |
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