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» Vertex partitions of chordal graphs
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CSE
2009
IEEE
13 years 6 months ago
Edge Anonymity in Social Network Graphs
Edges in social network graphs can model sensitive relationships. In this paper, we consider the problem of edges anonymity in graphs. We propose a probabilistic notion of edge ano...
Lijie Zhang, Weining Zhang
JGT
2007
146views more  JGT 2007»
13 years 8 months ago
Compatible circuit decompositions of 4-regular graphs
A transition system T of an Eulerian graph G is a family of partitions of the edges incident to each vertex of G into transitions i.e. subsets of size two. A circuit decomposition...
Herbert Fleischner, François Genest, Bill J...
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 8 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
COMBINATORICA
2007
119views more  COMBINATORICA 2007»
13 years 8 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
14 years 1 months ago
Linear-Time Recognition of Probe Interval Graphs
The interval graph for a set of intervals on a line consists of one vertex for each interval, and an edge for each intersecting pair of intervals. A probe interval graph is a varia...
Ross M. McConnell, Yahav Nussbaum