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p-ranks

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Spectra of Graphs

Part of the book series: Universitext ((UTX))

Abstract

Designs or graphs with the same parameters can sometimes be distinguished by considering the p-rank of associated matrices. For example, there are three nonisomorpic 2-(16,6,2) designs, with point-block incidence matrices of 2-rank 6, 7 and 8, respectively.

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© 2012 Andries E. Brouwer and Willem H. Haemers

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Brouwer, A.E., Haemers, W.H. (2012). p-ranks. In: Spectra of Graphs. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1939-6_13

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