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There are only finitely many distance-regular graphs of fixed valency greater than two
Authors:S Bang  A Dubickas  JH Koolen  V Moulton
Institution:1. Department of Mathematics, Yeungnam University, Gyeongsan-si, Republic of Korea;2. Department of Mathematics and Informatics, Vilnius University, Naugarduko 24 LT-03225 Vilnius, Lithuania;3. Wen-Tsun Wu Key Laboratory of CAS, School of Mathematical Sciences, University of Science and Technology of China, Hefei, 23026, Anhui, China;4. School of Computing Sciences, University of East Anglia, Norwich, NR4 7TJ, UK
Abstract:In this paper we prove the Bannai–Ito conjecture, namely that there are only finitely many distance-regular graphs of fixed valency greater than two.
Keywords:Distance-regular graphs  Bannai&ndash  Ito conjecture  Sims conjecture  Othogonal polynomials  Christoffel numbers
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