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LATA
2009
Springer
14 years 4 months ago
A Series of Run-Rich Strings
We present a new series of run-rich strings, and give a new lower bound 0.94457567 of the maximum number of runs in a string. We also introduce the general conjecture about a asymp...
Wataru Matsubara, Kazuhiko Kusano, Hideo Bannai, A...
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 10 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
13 years 10 months ago
Sets of Points Determining Only Acute Angles and Some Related Colouring Problems
We present both probabilistic and constructive lower bounds on the maximum size of a set of points S Rd such that every angle determined by three points in S is acute, considerin...
David Bevan
JSC
2010
85views more  JSC 2010»
13 years 8 months ago
On the minimum of a positive polynomial over the standard simplex
We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of Rk , assuming that P is p...
Gabriela Jeronimo, Daniel Perrucci
LION
2009
Springer
125views Optimization» more  LION 2009»
14 years 4 months ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of h...
Samuel Rota Bulò, Marcello Pelillo