Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5.
Pasechnik, Dmitrii V.
Date of Issue1992
School of Physical and Mathematical Sciences
Let Qn denote the set of the flag-transitive geometries with the diagram. We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, containing Petersen subgraphs. Using coset enumeration, we classify all Q2-geometries.
European journal of combinatorics
© 1992 Academic Press Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by European Journal of Combinatorics, Academic Press. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at:http://dx.doi.org/10.1016/S0195-6698(05)80034-4