Improving diameter bounds for distance-regular graphs

نویسندگان

  • Sejeong Bang
  • Akira Hiraki
  • Jacobus H. Koolen
چکیده

In this paper we study the sequence (ci)0≤i≤d for a distance-regular graph. In particular we show that if d ≥ 2j and cj = c > 1 then c2j > c holds. Using this we give improvements on diameter bounds by Hiraki and Koolen [5], and Pyber [8], respectively, by applying this inequality.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2006