Spectral characterization of a graph on the flags of the eleven point biplaneReport as inadecuate




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Designs, Codes and Cryptography

, Volume 65, Issue 1–2, pp 65–69

First Online: 02 October 2011Received: 22 June 2011Revised: 17 September 2011Accepted: 19 September 2011

Abstract

We characterize a 55-point graph by its spectrum \{4^1 -2^{10} -1 \pm \sqrt{3}^{10}, 3 \pm \sqrt{5}-2^{12}}\ . No interlacing is used: examination of tr A for m ≤ 7 together with study of the representation in the eigenspace for the eigenvalue −2 suffices.

KeywordsSpectral characterization Euclidean representation Graph representation Iofinova-Ivanov graph This is one of several papers published together in Designs, Codes and Cryptography on the special topic: -Geometric and Algebraic Combinatorics-.

Mathematics Subject Classification 200005C40 05Bxx 05Exx 05C38  Download to read the full article text



Author: A. Blokhuis - A. E. Brouwer

Source: https://link.springer.com/







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