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» On perfectness of sums of graphs
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SIAMDM
2008
143views more  SIAMDM 2008»
13 years 7 months ago
Coloring Bull-Free Perfectly Contractile Graphs
We consider the class of graphs that contain no bull, no odd hole, and no antihole of length at least five. We present a new algorithm that colors optimally the vertices of every g...
Benjamin Lévêque, Frédé...
STACS
2007
Springer
14 years 1 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
STOC
2001
ACM
97views Algorithms» more  STOC 2001»
14 years 7 months ago
Sharp threshold and scaling window for the integer partitioning problem
We consider the problem of partitioning n integers chosen randomly between 1 and 2m into two subsets such that the discrepancy, the absolute value of the difference of their sums,...
Christian Borgs, Jennifer T. Chayes, Boris Pittel
GC
2007
Springer
13 years 7 months ago
Precoloring Extension of Co-Meyniel Graphs
The pre-coloring extension problem consists, given a graph G and a set of nodes to which some colors are already assigned, in finding a coloring of G with the minimum number of co...
Vincent Jost, Benjamin Lévêque, Fr&ea...
MOC
2000
71views more  MOC 2000»
13 years 7 months ago
The third largest prime divisor of an odd perfect number exceeds one hundred
Let (n) denote the sum of positive divisors of the natural number n. Such a number is said to be perfect if (n) = 2n. It is well known that a number is even and perfect if and only...
Douglas E. Iannucci