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Autor:
Delhommé, Christian, Pouzet, Maurice
A poset $\bfp$ is well-partially ordered (WPO) if all its linear extensions are well orders~; the supremum of ordered types of these linear extensions is the {\em length}, $\ell(\bfp)$ of $\bfp$. We prove that if the vertex set $X$ of $\bfp$ is infin
Externí odkaz:
http://arxiv.org/abs/1510.00596
Autor:
Delhommé, Christian, Miyakawa, Masahiro, Pouzet, Maurice, Rosenberg, Ivo G., Tatsumi, Hisayuki
A system $\mathcal M$ of equivalence relations on a set $E$ is \emph{semirigid} if only the identity and constant functions preserve all members of $\mathcal M$. We construct semirigid systems of three equivalence relations. Our construction leads to
Externí odkaz:
http://arxiv.org/abs/1505.02955
A metric space is indivisible if for any partition of it into finitely many pieces one piece contains an isometric copy of the whole space. Continuing our investigation of indivisible metric spaces, we show that a countable ultrametric space embeds i
Externí odkaz:
http://arxiv.org/abs/math/0702466
Prompted by a recent question of G. Hjorth as to whether a bounded Urysohn space is indivisible, that is to say has the property that any partition into finitely many pieces has one piece which contains an isometric copy of the space, we answer this
Externí odkaz:
http://arxiv.org/abs/math/0510254
Autor:
Delhommé, Christian, Zaguia, Imed
Publikováno v:
In Discrete Mathematics July 2018 341(7):1885-1899
Publikováno v:
In European Journal of Combinatorics April 2014 37:43-67
Publikováno v:
In Discrete Mathematics 28 May 2012 312(10):1743-1765
Publikováno v:
In Discrete Mathematics 2009 309(6):1374-1384
Autor:
Courcelle, Bruno, Delhommé, Christian
Publikováno v:
In Theoretical Computer Science 2008 394(1):1-38