Bijection Between Point-Hyperplane Anti-Flags of V(n, 2) and Non-Singular Points of O⁺(2n, 2)

2025/09/18 by Ihringer, Ferdinand, Pasini, Antonio · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.14798

Abstract

We give a bijection between the point-hyperplane antiflags of V(n, 2) and the non-singular points of V(2n, 2) with respect to a hyperbolic quadric. With the help of this bijection, we give a description of the strongly regular graph NO⁺(2n, 2) in V(2n, 2). We also describe a graph in V(2n, 2) that was recently defined by Stanley and Takeda in V(n, 2).

Citations

• Graph colouring and Steenrod's problem for Stanley-Reisner rings

Cited by

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