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Element neighbourhoods in twofold triple systems
Authors:Charles J Colbourn  Alexander Rosa
Institution:(1) Department of Computer Science, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(2) Department of Mathematical Sciences, McMaster University, L8S 4K1 Hamilton, Ontario, Canada
Abstract:The method of differences is used to establish that every 2-regular multigraph onv– 1equiv0,2 (mod 3) points occurs as the neighbourhood graph of an element in a twofold triple system of orderv, with two exceptions: C2cupC3and C3cupC3.Dedicated to Professor Hanfried Lenz on the occasion of his seventieth birthday
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