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» On Bounds for the k-Partitioning of Graphs
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WEA
2004
Springer
85views Algorithms» more  WEA 2004»
15 years 11 months ago
Faster Deterministic and Randomized Algorithms on the Homogeneous Set Sandwich Problem
A homogeneous set is a non-trivial, proper subset of a graph’s vertices such that all its elements present exactly the same outer neighborhood. Given two graphs, G1(V, E1), G2(V,...
Celina M. Herrera de Figueiredo, Guilherme Dias da...
FOCS
1998
IEEE
15 years 10 months ago
Parametric and Kinetic Minimum Spanning Trees
We consider the parametric minimum spanning tree problem, in which we are given a graph with edge weights that are linear functions of a parameter and wish to compute the sequenc...
Pankaj K. Agarwal, David Eppstein, Leonidas J. Gui...
WG
2000
Springer
15 years 10 months ago
Networks with Small Stretch Number
: In a previous work, the authors introduced the class of graphs with bounded induced distance of order k, (BID(k) for short) to model non-reliable interconnection networks. A netw...
Serafino Cicerone, Gabriele Di Stefano
ALGORITHMICA
2010
127views more  ALGORITHMICA 2010»
15 years 6 months ago
An Algorithm for Minimum Cost Arc-Connectivity Orientations
Given a 2k-edge-connected undirected graph, we consider to find a minimum cost orientation that yields a k-arc-connected directed graph. This minimum cost k-arc-connected orientat...
Satoru Iwata, Yusuke Kobayashi
CORR
2010
Springer
103views Education» more  CORR 2010»
15 years 6 months ago
Random Information Spread in Networks
Let G = (V, E) be an undirected loopless graph with possible parallel edges and s, t V . Assume that s is labelled at the initial time step and that every labelled vertex copies i...
Raymond Lapus, Frank Simon, Peter Tittmann