Links between Latin squares,nets, graphs and groups: Work inspired by a paper of A. Barlotti and K. Strambach |
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| Institution: | 1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China;2. State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, China;3. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China;1. Institut de Mathématiques de Luminy, CNRS-UPR9016, 163 av. de Luminy, case 907, 13288 Marseille Cedex 9, France;2. Faculty of Mathematics, Otto-von-Guericke University, Universitätsplatz 2, 39106 Magdeburg, Germany;1. School of Science, Chang''an University, Xi''an 710064, China;2. School of Information Engineering, Chang''an University, Xi''an 710064, China |
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| Abstract: | Starting from a computer generated example of a transitive Latin square graph over a proper loop we describe a computer free interpretation of this specific strongly regular graph. Moreover, with this interpretation we were able to generalize the result to an infinite series of similar examples. |
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