R.C. Bose and T.A. Dowling. A generalization of Moore graphs of diameter 2. J. Combin. Th., 11:213--226, 1971.  Home/Search   Document Not in Database   Summary   Related Articles

.... Gamma 1) i (r Gamma 1) i : This bound is known as the Moore bound for undirected hypergraphs, and the hypergraphs that attain it are known as Moore geometries. Combined results of Fuglister [37] 38] Damerell and Georgiacodis [27] Damerell [26] Kuich and Sauer [46] Bose and Dowling [20], and Kantor [44] show that, for D 2, Moore geometries cannot exist, with the exception of the cycles of length 2D 1 (the case Delta = 2 and r = 2) For a comprehensive survey on these results see [6] For D = 2 and r 6= 5, Moore geometries can exist only for a finite number of vertices. For ....

R.C. Bose and T.A. Dowling. A generalization of Moore graphs of diameter 2. J. Combin. Th., 11:213--226, 1971.

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