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» A Lower Bound for the Shortest Path Problem
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FOCS
1991
IEEE
15 years 1 months ago
On the Exponent of the All Pairs Shortest Path Problem
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...
Noga Alon, Zvi Galil, Oded Margalit
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
14 years 11 months ago
Frugality in path auctions
We consider the problem of picking (buying) an inexpensive s-t path in a graph where edges are owned by independent (selfish) agents, and the cost of an edge is known to its owner...
Edith Elkind, Amit Sahai, Kenneth Steiglitz
EUROPAR
2009
Springer
15 years 4 months ago
A Lower Bound for Oblivious Dimensional Routing
In this work we consider deterministic oblivious dimensional routing algorithms on d-dimensional meshes. In oblivious dimensional routing algorithms the path of a packet depends o...
Andre Osterloh
FOCS
2009
IEEE
15 years 4 months ago
Approximability of Combinatorial Problems with Multi-agent Submodular Cost Functions
Abstract— Applications in complex systems such as the Internet have spawned recent interest in studying situations involving multiple agents with their individual cost or utility...
Gagan Goel, Chinmay Karande, Pushkar Tripathi, Lei...
SIGECOM
2005
ACM
92views ECommerce» more  SIGECOM 2005»
15 years 3 months ago
True costs of cheap labor are hard to measure: edge deletion and VCG payments in graphs
We address the problem of lowering the buyer’s expected payments in shortest path auctions, where the buyer’s goal is to purchase a path in a graph in which edges are owned by...
Edith Elkind