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TCS
2002
13 years 5 months ago
Martin's game: a lower bound for the number of sets
We investigate Martin's game (as described in Arruda et al. (Eds.), On Random R. E. Sets, Non-Classical Logics, Model Theory and Computability, North-Holland, Amsterdam, 1977...
M. Ageev
DM
2008
104views more  DM 2008»
13 years 6 months ago
Improved upper and lower bounds on the feedback vertex numbers of grids and butterflies
We improve upon the best known upper and lower bounds on the sizes of minimal feedback vertex sets in butterflies. Also, we construct new feedback vertex sets in grids so that for...
Florent R. Madelaine, Iain A. Stewart
COCOA
2010
Springer
13 years 4 months ago
The Union of Colorful Simplices Spanned by a Colored Point Set
A simplex spanned by a colored point set in Euclidean d-space is colorful if all vertices have distinct colors. The union of all full-dimensional colorful simplices spanned by a c...
André Schulz, Csaba D. Tóth
ENDM
2007
60views more  ENDM 2007»
13 years 6 months ago
Bounds on the Number of Maximal Sum-Free Sets
We show that the number of maximal sum-free subsets of {1, 2, . . . , n} is at most 23n/8+o(n) . We also show that 20.406n+o(n) is an upper bound on the number of maximal product-...
Guy Wolfovitz
COMGEO
2011
ACM
13 years 1 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...