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SIAMDM
2002
52views more  SIAMDM 2002»
13 years 4 months ago
Testing k-colorability
Let G be a graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it k-colorable. It is shown that in this case most induced subgraphs of G on c...
Noga Alon, Michael Krivelevich
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 4 months ago
Scheduling Unrelated Machines by Randomized Rounding
We present a new class of randomized approximation algorithms for unrelated parallel machine scheduling problems with the average weighted completion time objective. The key idea i...
Andreas S. Schulz, Martin Skutella
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 4 months ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...
SIAMDM
2008
115views more  SIAMDM 2008»
13 years 4 months ago
Rank-Width and Well-Quasi-Ordering
Robertson and Seymour (1990) proved that graphs of bounded tree-width are well-quasi-ordered by the graph minor relation. By extending their arguments, Geelen, Gerards, and Whittle...
Sang-il Oum
SIAMDM
2002
94views more  SIAMDM 2002»
13 years 4 months ago
How to Be an Efficient Snoop, or the Probe Complexity of Quorum Systems
A quorum system is a collection of sets (quorums) every two of which intersect. Quorum systems have been used for many applications in the area of distributed systems, including mu...
David Peleg, Avishai Wool