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Triple intersection numbers for the Paley graphs |
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| Institution: | 1. Worcester Polytechnic Institute, Dept. of Mathematical Sciences, Worcester, MA, USA;1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, People''s Republic of China;2. Department of Mathematics, Nanjing University, Nanjing 210093, People''s Republic of China;3. School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211816, People''s Republic of China |
| Abstract: | We give a tight bound for the triple intersection numbers of Paley graphs. In particular, we show that any three vertices have a common neighbor in Paley graphs of order larger than 25. |
| Keywords: | Finite field Quadratic residue Strongly regular graph Triple intersection number |
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