A game of composing binary relations
P. GoralČík, Z. Hedrlín, V. Koubek, J. Ryšunková (1982)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Martin Klazar (1992)
Commentationes Mathematicae Universitatis Carolinae
We investigate the extremal function which, for a given finite sequence over symbols, is defined as the maximum length of a sequence of integers such that 1) , 2) implies and 3) contains no subsequence of the type . We prove that is very near to be linear in for any fixed of length greater than 4, namely that Here is the length of and is the inverse to the Ackermann function and goes to infinity very slowly. This result extends the estimates in [S] and [ASS] which...
Jaroslav Morávek (1974)
Časopis pro pěstování matematiky
Zhang, Zhi-Hua, Xiao, Zhen-Gang (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
W. Piotrowski (1987)
Applicationes Mathematicae
Lasoń, Michał (2010)
The Electronic Journal of Combinatorics [electronic only]
Zoran Šami (1996)
Publications de l'Institut Mathématique
Wu, Kang, Su, Wenlong, Luo, Haipeng, Xu, Xiaodong (2010)
The Electronic Journal of Combinatorics [electronic only]
Kai Wang (1981)
Aequationes mathematicae
Ladislav Nebeský (1976)
Czechoslovak Mathematical Journal
H. Burkill, Catherine V. Smallwood (1983)
Monatshefte für Mathematik
Makoto Matsumoto (1999)
Annales de l'institut Fourier
A category generalizing Jaeger-Nomura algebra associated to a spin model is given. It is used to prove some equivalence among the four conditions by Jaeger-Nomura for spin models of index 2.
Gábor Kallós (2006)
Annales mathématiques Blaise Pascal
In this paper we generalize the Pascal triangle and examine the connections among the generalized triangles and powering integers respectively polynomials. We emphasize the relationship between the new triangles and the Pascal pyramids, moreover we present connections with the binomial and multinomial theorems.
Reifegerste, Astrid (2003)
The Electronic Journal of Combinatorics [electronic only]
M. Chrobak, S. Poljak (1987)
Applicationes Mathematicae
Griffiths, Martin, Mező, István (2010)
Journal of Integer Sequences [electronic only]
Farrell, E.J. (1981)
International Journal of Mathematics and Mathematical Sciences
Marián Sudolský (1978)
Mathematica Slovaca
Mordechai Lewin (1982)
Mathematische Zeitschrift
Wanless, Ian M. (2002)
The Electronic Journal of Combinatorics [electronic only]