ISSN:
1572-9273
Keywords:
Primary 06A10
;
secondary 05C60
;
20B25
;
Poset
;
Peck poset
;
Sperner property
;
automorphism group
;
quotient poset
;
edge-reconstruction
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract An elementary, self-contained proof of a result of Pouzet and Rosenberg and of Harper is given. This result states that the quotient of certain posets (called unitary Peck) by a finite group of automorphisms retains some nice properties, including the Sperner property. Examples of unitary Peck posets are given, and the techniques developed here are used to prove a result of Lovász on the edge-reconstruction conjecture.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00396271
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