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» On the hyperbolicity constant in graphs
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COMBINATORICS
2006
162views more  COMBINATORICS 2006»
15 years 6 months ago
Bounding the Partition Function of Spin-Systems
With a graph G = (V, E) we associate a collection of non-negative real weights vV {i,v : 1 i m} uvE{ij,uv : 1 i j m}. We consider the probability distribution on {f : V {1,...
David J. Galvin
NETWORKS
2002
15 years 5 months ago
Approximation algorithms for constructing wavelength routing networks
Consider a requirement graph whose vertices represent customers and an edge represents the need to route a unit of flow between its end vertices along a single path. All of these ...
Refael Hassin, Asaf Levin
MST
2010
86views more  MST 2010»
15 years 27 days ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
15 years 11 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke
PODC
2010
ACM
15 years 10 months ago
Deterministic distributed vertex coloring in polylogarithmic time
Consider an n-vertex graph G = (V, E) of maximum degree ∆, and suppose that each vertex v ∈ V hosts a processor. The processors are allowed to communicate only with their neig...
Leonid Barenboim, Michael Elkin