3 citations · 12 across the 17 of their papers we have counts for
18 papers
The unique coclique extension property for apartments of buildings
Andries E. Brouwer, Jan Draisma, Çiçek Güven
We show that the Kneser graph of objects of a fixed type in a building of spherical type has the unique coclique extension property when the corresponding representation has minusc…
Majorana Algebra for the Hoffman-Singleton Graph
Andries E. Brouwer, Alexander A. Ivanov
Majorana theory is an axiomatic tool introduced by A. A. Ivanov in 2009 for studying the Monster group M and its subgroups through the 196884-dimensional Conway-Griess-Norton algeb…
Triple intersection numbers for the Paley graphs
Andries E. Brouwer, William J. Martin
We give a tight bound for the triple intersection numbers of Paley graphs. In particular, we show that any three vertices have a common neighbor in Paley graphs of order larger tha…
Strongly regular graphs satisfying the 4-vertex condition
A. E. Brouwer, F. Ihringer, W. M. Kantor
We survey the area of strongly regular graphs satisfying the 4-vertex condition and find several new families. We describe a switching operation on collinearity graphs of polar spa…
The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters
Andries E. Brouwer, Sebastian M. Cioabă, Ferdinand Ihringer +1
We prove a conjecture by Van Dam and Sotirov on the smallest eigenvalue of (distance-) Hamming graphs and a conjecture by Karloff on the smallest eigenvalue of (distance-) Jo…
Uniqueness of codes using semidefinite programming
Andries E. Brouwer, Sven C. Polak
For , let denote the maximum size of a binary code of word length , minimum distance and constant weight . Schrijver recently showed usin…