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Distance degrees of vertex-transitive graphs

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Abstract

In [4], a lower bound of distance degrees of distance degree regular graphs is obtained. In this paper, we prove that a lower bound will be improved in some cases of vertex-transitive graphs.

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References

  1. Biggs, N.: Algebraic Graph Theory. Camb. Tracts Math. No. 67. Cambridge: Cambridge University Press 1974

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  2. Harary, F.: Graph Theory. Reading: Addison-Wesley 1969

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  3. Hilano, T. Regular Graphs with Regular Squares (unpublished)

  4. Hilano, T., Nomura, K.: Distance degree regular graphs. J. Comb. Theory (B)37, 96–100 (1984)

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Hilano, T. Distance degrees of vertex-transitive graphs. Graphs and Combinatorics 5, 223–228 (1989). https://doi.org/10.1007/BF01788674

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  • DOI: https://doi.org/10.1007/BF01788674

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