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» Lower Bounds in Distributed Computing
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MFCS
2010
Springer
13 years 6 months ago
Breaking the Rectangle Bound Barrier against Formula Size Lower Bounds
Karchmer, Kushilevitz and Nisan formulated the formula size problem as an integer programming problem called the rectangle bound and introduced a technique called the LP bound, whi...
Kenya Ueno
TIT
2010
107views Education» more  TIT 2010»
13 years 2 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali
SPAA
1994
ACM
13 years 11 months ago
Bounds on the Greedy Routing Algorithm for Array Networks
We analyze the performance of greedy routing for array networks by providing bounds on the average delay and the average number of packets in the system for the dynamic routing pr...
Michael Mitzenmacher
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 7 months ago
A Near-Tight Lower Bound on the Time Complexity of Distributed Minimum-Weight Spanning Tree Construction
This paper presents a lower bound of (D + n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of ...
David Peleg, Vitaly Rubinovich
CDC
2010
IEEE
122views Control Systems» more  CDC 2010»
13 years 2 months ago
A lower bound for distributed averaging algorithms on the line graph
We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose ...
Alexander Olshevsky, John N. Tsitsiklis