On some locally 3-transposition graphs

• المؤلف الرئيسي: Pasechnik, Dmitrii V.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: Conference or Workshop Item
• اللغة: English
• منشور في: 2011
• الموضوعات: DRNTU::Science::Mathematics::Geometry
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/97315; http://hdl.handle.net/10220/6955
• المؤسسة: 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...