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» A Graph Pebbling Algorithm on Weighted Graphs
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ESA
2004
Springer
95views Algorithms» more  ESA 2004»
14 years 2 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
14 years 2 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
APPROX
2009
Springer
153views Algorithms» more  APPROX 2009»
14 years 3 months ago
Average-Case Analyses of Vickrey Costs
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 4 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
CORR
2010
Springer
131views Education» more  CORR 2010»
13 years 9 months ago
A PAC-Bayesian Analysis of Graph Clustering and Pairwise Clustering
We formulate weighted graph clustering as a prediction problem1 : given a subset of edge weights we analyze the ability of graph clustering to predict the remaining edge weights. ...
Yevgeny Seldin