On the p-Rank of the Adjacency Matrices of Strongly Regular Graphs |
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Authors: | AE Brouwer CA Van Eijl |
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Institution: | (1) Dept. of Math., Eindhoven Univ. of Technology, Eindhoven, Netherlands |
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Abstract: | Let be a strongly regular graph with adjacency matrix A. Let I be the identity matrix, and J the all-1 matrix. Let p be a prime. Our aim is to study the p-rank (that is, the rank over
, the finite field with p elements) of the matrices M = aA + bJ + cI for integral a, b, c. This note is based on van Eijl 8]. |
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Keywords: | p-rank strongly regular graphs |
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