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» Improving Bound Propagation
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DC
2010
13 years 10 months ago
Distributed algorithms for ultrasparse spanners and linear size skeletons
We present efficient algorithms for computing very sparse low distortion spanners in distributed networks and prove some non-trivial lower bounds on the tradeoff between time, spar...
Seth Pettie
DM
2010
77views more  DM 2010»
13 years 10 months ago
Representing (0, 1)-matrices by boolean circuits
A boolean circuit represents an n by n (0,1)-matrix A if it correctly computes the linear transformation y = Ax over GF(2) on all n unit vectors. If we only allow linear boolean f...
Stasys Jukna
DM
2008
100views more  DM 2008»
13 years 10 months ago
Adaptive group testing for consecutive positives
Motivated from an application to DNA library screening, Balding and Torney [1] and Colbourn [4] studied the following group testing for consecutive positives. Suppose Vn = {v1 v2 ...
Justie Su-tzu Juan, Gerard J. Chang
DM
2008
112views more  DM 2008»
13 years 10 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu
ENDM
2008
90views more  ENDM 2008»
13 years 10 months ago
On cliques of Helly Circular-arc Graphs
A circular-arc graph is the intersection graph of a set of arcs on the circle. It is a Helly circular-arc graph if it has a Helly model, where every maximal clique is the set of a...
Min Chih Lin, Ross M. McConnell, Francisco J. Soul...