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AMC
2010
139views more  AMC 2010»
13 years 5 months ago
A conjecture on the stability of the periodic solutions of Ricker's equation with periodic parameters
In this work we propose a conjecture about the stability of the periodic solutions of the Ricker equation with periodic parameters, which goes beyond the existing theory, and for ...
Robert J. Sacker, Hubertus F. von Bremen
EJC
2008
13 years 4 months ago
Coloring squares of planar graphs with girth six
Wang and Lih conjectured that for every g 5, there exists a number M(g) such that the square of a planar graph G of girth at least g and maximum degree M(g) is (+1)-colorable. ...
Zdenek Dvorak, Daniel Král, Pavel Nejedl&ya...
COLT
2010
Springer
13 years 2 months ago
Mansour's Conjecture is True for Random DNF Formulas
In 1994, Y. Mansour conjectured that for every DNF formula on n variables with t terms there exists a polynomial p with tO(log(1/)) non-zero coefficients such that Ex{0,1}n [(p(x)...
Adam R. Klivans, Homin K. Lee, Andrew Wan
DM
2010
66views more  DM 2010»
13 years 5 months ago
Two proofs of the Bermond-Thomassen conjecture for tournaments with bounded minimum in-degree
The Bermond-Thomassen conjecture states that, for any positive integer r, a digraph of minimum out-degree at least 2r -1 contains at least r vertex-disjoint directed cycles. Thoma...
Stéphane Bessy, Nicolas Lichiardopol, Jean-...
ANTS
2004
Springer
90views Algorithms» more  ANTS 2004»
13 years 10 months ago
Conjectures about Discriminants of Hecke Algebras of Prime Level
In this paper, we study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. By considering cusp forms of weight bigger than 2, we a...
Frank Calegari, William A. Stein