On some locally 3-transposition graphs

• 主要作者: Pasechnik, Dmitrii V.
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Conference or Workshop Item
• 語言: English
• 出版: 2011
• 主題: DRNTU::Science::Mathematics::Geometry
• 在線閱讀: https://hdl.handle.net/10356/97315; http://hdl.handle.net/10220/6955

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...