A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\)

DOI10.1007/s00493-017-3573-4zbMath1438.05241arXiv1511.09435OpenAlexW2953532090MaRDI QIDQ2322503

Alexander L. Gavrilyuk, Jack H. Koolen

Publication date: 4 September 2019

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09435

zbMATH Keywords

distance-regular graphsfinite fieldsbilinear formsintersection array

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Combinatorial aspects of finite geometries (05B25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Structural characterization of families of graphs (05C75) Combinatorial structures in finite projective spaces (51E20)

Related Items (9)

On Q-Polynomial Shilla Graphs with b=6 ⋮ SHILLA GRAPHS WITH \(b=5\) AND \(b=6\) ⋮ On nonexistence of distance regular graphs with the intersection array ${53,40,28,16;1,4,10,28}$ ⋮ On distance-regular graphs \(\Gamma\) of diameter 3 for which \(\Gamma_3\) is a triangle-free graph ⋮ On \(Q \)-polynomial Shilla graphs with \(b=6 \) ⋮ On few-class Q-polynomial association schemes: feasible parameters and nonexistence results ⋮ Three infinite families of Shilla graphs do not exist ⋮ On some recent progress in the classification of (\(P\) and \(Q\))-polynomial association schemes ⋮ Recent progress on graphs with fixed smallest adjacency eigenvalue: a survey

This page was built for publication: A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\)