Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Kós, Géza"'
Autor:
Kós, Géza
In this note we prove the following fact: if finite many elements $p_1,p_2,...,p_n$ of a unique factorization domain are given such that the greatest common divisor of each pair $(p_i,p_j)$ can be expressed as a linear combination of $p_i$ and $p_j$
Externí odkaz:
http://arxiv.org/abs/1206.7005
Alon's combinatorial Nullstellensatz, and in particular the resulting nonvanishing criterion is one of the most powerful algebraic tools in combinatorics, with many important applications. In this paper we extend the nonvanishing theorem in two direc
Externí odkaz:
http://arxiv.org/abs/1103.4768
Autor:
Kós, Géza
The 6th problem of the 50th International Mathematical Olympiad (IMO), held in Germany, 2009, was the following. Let $a_1,a_2,...,a_n$ be distinct positive integers and let $M$ be a set of $n-1$ positive integers not containing $s=a_1+a_2+...+a_n$. A
Externí odkaz:
http://arxiv.org/abs/1008.2936
Autor:
Kós, Géza, Rónyai, Lajos
Alon's combinatorial Nullstellensatz (Theorem 1.1 from \cite{Alon1}) is one of the most powerful algebraic tools in combinatorics, with a diverse array of applications. Let $\F$ be a field, $S_1,S_2,..., S_n$ be finite nonempty subsets of $\F$. Alon'
Externí odkaz:
http://arxiv.org/abs/1008.2901
Publikováno v:
Ann. Univ. Sci. Budapest. E\"otv\"os Sect. Math. 54 (2011), 57-61
Based on the recent work of Arsovski, we confirm a conjecture of Feng, Sun, and Xiang, and we give a shortened proof of Snevily's conjecture.
Comment: 5 pages, LaTeX2e; v2: revised version incorporating suggestions by the referee (e.g. title was
Comment: 5 pages, LaTeX2e; v2: revised version incorporating suggestions by the referee (e.g. title was
Externí odkaz:
http://arxiv.org/abs/1004.0253
Publikováno v:
Proceedings of the American Mathematical Society, 2012 Mar 01. 140(3), 971-975.
Externí odkaz:
https://www.jstor.org/stable/41411123
Publikováno v:
Mathematics of Computation, 2009 Jul 01. 78(267), 1733-1747.
Externí odkaz:
https://www.jstor.org/stable/40234681
Publikováno v:
In Computer Aided Geometric Design 2005 22(7):623-631
Publikováno v:
In Computer Aided Geometric Design 2002 19(3):173-205
Autor:
Kós, Géza kosgeza@sztaki.hu
Publikováno v:
Acta Mathematica Hungarica. Aug2013, Vol. 140 Issue 3, p243-247. 5p.