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DAM
2010
116views more  DAM 2010»
13 years 7 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
STOC
1994
ACM
95views Algorithms» more  STOC 1994»
13 years 11 months ago
Improved non-approximability results
We indicate strong non-approximability factors for central problems: N1/4 for Max Clique; N1/10 for Chromatic Number; and 66/65 for Max 3SAT. Underlying the Max Clique result is a...
Mihir Bellare, Madhu Sudan
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 7 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
IPL
2008
169views more  IPL 2008»
13 years 7 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou
COMBINATORICS
2006
97views more  COMBINATORICS 2006»
13 years 7 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov