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Searching and encoding for infinite ordered sets

โœ Scribed by Quentin F. Stout


Publisher
Springer
Year
1982
Tongue
English
Weight
960 KB
Volume
11
Category
Article
ISSN
1573-7640

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๐Ÿ“œ SIMILAR VOLUMES


The Menger property for infinite ordered
โœ R. Aharoni; J. -M. Brochet; M. Pouzet ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 549 KB

It is shown that, if an ordered set P contains at most k pairwise disjoint maximal chains, where k is finite, then every finite family of maximal chains in P has a cutset of size at most k. As a corollary of this, we obtain the following Menger-type result that, if in addition, P contains k pairwise

Cut-sets in infinite graphs and partial
โœ A. Hajnal; N. Sauer ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 859 KB

Hajnal, A. and N. Sauer, Cut-sets in infinite graphs and partial orders. Discrete Mathematics 117 (1993) 113-125. The set S c V(U) is a cut-set of the vertex v of a graph 9 if v is not adjacent to any vertex in S and, for every maximal clique C of Q, ({v} u S) n C # 0. S is a cut-set of the element

Tree-Properties for Ordered Sets
โœ Olivier Esser; Roland Hinnion ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 142 KB

In this paper, we study the notion of arborescent ordered sets, a generalization of the notion of tree-property for cardinals. This notion was already studied previously in the case of directed sets. Our main result gives a geometric condition for an order to be โ„ต0-arborescent.

A search for affine difference sets of e
โœ Troy D. VanAken ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 407 KB

The Prime Power Conjecture asserts that the order of an affine difference set is an integral power of a prime number. K.T. Arasu and D. Jungnickel have shown that if the order of an affine difference set is even, then the order is either two or four or is divisible by eight. This paper extends this