Premium
Locally 2‐arc transitive graphs, homogeneous factorizations, and partial linear spaces
Author(s) -
Giudici Michael,
Li Cai Heng,
Praeger Cheryl E.
Publication year - 2006
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20072
Subject(s) - bijection, injection and surjection , mathematics , transitive relation , arc (geometry) , combinatorics , homogeneous , automorphism , discrete mathematics , bijection , geometry
We establish natural bijections between three different classes of combinatorial objects; namely certain families of locally 2‐arc transitive graphs, partial linear spaces, and homogeneous factorizations of arc‐transitive graphs. Moreover, the bijections intertwine the actions of the relevant automorphism groups. Thus constructions in any of these areas provide examples for the others. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 139–148, 2006