Abstract

Let f(v, 5) be the number of vertices of a (v, 5)‐cage (v ≥ 3). We give an upper bound for f(v, 5) which is considerably better than the previously known upper bounds. In particular, when v = 7, it coincides with the well‐known Hoffman‐ Singleton graph.

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  • International Journal of Submit your manuscripts at http://www.hindawi.com

  • International Journal of Mathematics and Mathematical Sciences

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