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Crown-free highly arc-transitive digraphs
-
Daniela Amato
and
John K. Truss
Published/Copyright:
January 19, 2012
Abstract.
We construct a family of infinite, non-locally finite highly arc-transitive digraphs which do
not have universal reachability relation and which omit special digraphs called `crowns'. Moreover, there
is no homomorphism from any of our digraphs onto
Received: 2009-05-18
Revised: 2010-02-26
Published Online: 2012-01-19
Published in Print: 2012-January
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Prelims
- The Lerch zeta function I. Zeta integrals
- The Lerch zeta function II. Analytic continuation
- Generalized Ramanujan conjecture over general imaginary quadratic fields
- Almost prime values of the order of elliptic curves over finite fields
-
Manifolds associated with
- A Steinness criterion for Stein fibrations
- Crown-free highly arc-transitive digraphs
- Pitt's inequality and the fractional Laplacian: Sharp error estimates
- On affine group actions on Stein manifolds
