, Volume 65, Issue 1-2, pp 65-69,
Open Access This content is freely available online to anyone, anywhere at any time.

Spectral characterization of a graph on the flags of the eleven point biplane

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 m for m ≤ 7 together with study of the representation in the eigenspace for the eigenvalue −2 suffices.

This is one of several papers published together in Designs, Codes and Cryptography on the special topic: “Geometric and Algebraic Combinatorics”.