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Locally 2-arc transitive graphs, homogeneous factorizations, and partial linear spaces

✍ Scribed by Michael Giudici; Cai Heng Li; Cheryl E. Praeger


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
134 KB
Volume
14
Category
Article
ISSN
1063-8539

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✦ Synopsis


Abstract

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