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SIAMDM
2008
97views more  SIAMDM 2008»
13 years 5 months ago
Disjoint Color-Avoiding Triangles
A set of pairwise edge-disjoint triangles of an edge-colored Kn is r-color avoiding if it does not contain r monochromatic triangles, each having a different color. Let fr(n) be th...
Raphael Yuster
CCCG
2008
13 years 7 months ago
Monochromatic simplices of any volume
We give a very short proof of the following result of Graham from 1980: For any finite coloring of Rd , d 2, and for any > 0, there is a monochromatic (d + 1)-tuple that span...
Adrian Dumitrescu, Minghui Jiang
CCCG
2008
13 years 7 months ago
Data Structures for Restricted Triangular Range Searching
We present data structures for triangular emptiness and reporting queries for a planar point set, where the query triangle contains the origin. The data structures use near-linear...
Mashhood Ishaque, Diane L. Souvaine, Nadia Benbern...
ENDM
2008
82views more  ENDM 2008»
13 years 5 months ago
Finding Folkman Numbers via MAX CUT Problem
In this note we report on our recent work, still in progress, regarding Folkman numbers. Let f(2, 3, 4) denote the smallest integer n such that there exists a K4
Andrzej Dudek, Vojtech Rödl
DM
2008
103views more  DM 2008»
13 years 5 months ago
Edge-colorings avoiding rainbow and monochromatic subgraphs
For two graphs G and H, let the mixed anti-Ramsey numbers, maxR(n; G, H), (minR(n; G, H)) be the maximum (minimum) number of colors used in an edge-coloring of a complete graph wi...
Maria Axenovich, Perry Iverson