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» On antimagic directed graphs
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SDM
2007
SIAM
143views Data Mining» more  SDM 2007»
13 years 9 months ago
Clustering by weighted cuts in directed graphs
In this paper we formulate spectral clustering in directed graphs as an optimization problem, the objective being a weighted cut in the directed graph. This objective extends seve...
Marina Meila, William Pentney
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 7 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
IPL
2000
105views more  IPL 2000»
13 years 7 months ago
Coverings that preserve sense of direction
Sense of direction is a property of labelled networks (i.e., arc-coloured graphs) that allows one to assign coherently local identifiers to other processors on the basis of the ro...
Paolo Boldi, Sebastiano Vigna
SPAA
2009
ACM
14 years 8 months ago
Routing without ordering
We analyze the correctness and complexity of two well-known routing algorithms, introduced by Gafni and Bertsekas (1981): By reversing the directions of some edges, these algorith...
Bernadette Charron-Bost, Antoine Gaillard, Jennife...
SIROCCO
2000
13 years 9 months ago
Lower bounds for (weak) sense of direction
A graph with n vertices and maximum degree cannot be given weak sense of direction using less than colours. It is known that n colours are always sufficient, but it has been conje...
Paolo Boldi, Sebastiano Vigna