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» Edge Disjoint Paths in Moderately Connected Graphs
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FCT
2005
Springer
15 years 5 months ago
Reconstructing Many Partitions Using Spectral Techniques
A partitioning of a set of n items is a grouping of these items into k disjoint, equally sized classes. Any partition can be modeled as a graph. The items become the vertices of th...
Joachim Giesen, Dieter Mitsche
94
Voted
DM
2010
132views more  DM 2010»
14 years 11 months ago
Diameter and connectivity of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
Martin Knor, Sanming Zhou
MICS
2008
124views more  MICS 2008»
14 years 10 months ago
Community Structures of Networks
We present an approach to studying the community structures of networks by using linear programming (LP). Starting with a network in terms of (a) a collection of nodes and (b) a co...
William Y. C. Chen, Andreas W. M. Dress, Winking Q...
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
15 years 5 months ago
Boosting Spectral Partitioning by Sampling and Iteration
A partition of a set of n items is a grouping of the items into k disjoint classes of equal size. Any partition can be modeled as a graph: the items become the vertices of the grap...
Joachim Giesen, Dieter Mitsche
JGT
2010
90views more  JGT 2010»
14 years 10 months ago
The rainbow connection of a graph is (at most) reciprocal to its minimum degree
An edge-colored graph G is rainbow edge-connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, deno...
Michael Krivelevich, Raphael Yuster