Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0554.06003
Novák, Vítězslav
On some minimal problem. (English)
[J] Arch. Math., Brno 20, 95-99 (1984). ISSN 0044-8753; ISSN 1212-5059/e

It is known [{\it N. Megiddo}, Bull. Am. Math. Soc. 82, 274-276 (1976; Zbl 0361.06001)] that not any cyclic order has a linear extension. The paper deals with the problem of a minimal integer n such that there exists a cyclic order on an n-element set which has no linear extension; by N. Megiddo, $n\le 13$. The paper contains an example improving this estimation for $n\le 10$.
[I.Chajda]

MSC 2000:: *06A06 Partial order
05A20 Combinatorial inequalities

Keywords: cyclic order; linear extension

Citations: Zbl 0361.06001

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]