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COMBINATORICS
2007
59views more  COMBINATORICS 2007»
15 years 6 months ago
New Optimal Constant Weight Codes
In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by fill...
Igor Gashkov, D. Taub
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COMBINATORICS
2007
86views more  COMBINATORICS 2007»
15 years 6 months ago
On Directed Triangles in Digraphs
Using a recent result of Chudnovsky, Seymour, and Sullivan, we slightly improve two bounds related to the Caccetta-Haggkvist Conjecture. Namely, we show that if α ≥ 0.35312, th...
Peter Hamburger, Penny E. Haxell, Alexandr V. Kost...
IPL
2006
69views more  IPL 2006»
15 years 6 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
SIAMDM
2008
118views more  SIAMDM 2008»
15 years 6 months ago
Ramsey-Type Problem for an Almost Monochromatic K4
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
Jacob Fox, Benny Sudakov
JCO
2007
56views more  JCO 2007»
15 years 6 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang