Some examples of universal and generic partial orders
Combinatorics
2013-02-07 v3
Abstract
We survey structures endowed with natural partial orderings and prove their universality. These partial orders include partial orders on sets of words, partial orders formed by geometric objects, grammars, polynomials and homomorphism order for various combinatorial objects.
Cite
@article{arxiv.1002.1633,
title = {Some examples of universal and generic partial orders},
author = {Jaroslav Nesetril and Jan Hubicka},
journal= {arXiv preprint arXiv:1002.1633},
year = {2013}
}
Comments
31 pages, 5 figures. Updated version with many grammar fixes and also few minor corrections in proof in Section 3. Accepted for Model theoretic methods in finite Combinatorics