On some locally 3-transposition graphs

• Main Author: Pasechnik, Dmitrii V.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Conference or Workshop Item
• Language: English
• Published: 2011
• Subjects: DRNTU::Science::Mathematics::Geometry
• Online Access: https://hdl.handle.net/10356/97315; http://hdl.handle.net/10220/6955
• Institution: Nanyang Technological University

Let ∑_n^ε be the graph defined on the (+)- points of an n-dimensional GF(3)-space carrying a nondegenerate symmetric bilinear form with discriminant ε, points are adjacent if they are perpendicular. We prove that if ε = 1, n ≥ 6 (resp.ε=-1,n≥7) then ∑_(n+1)^εis the unique connected locally ∑_n^ε gra...