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DM
2010
128views more  DM 2010»
15 years 4 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
CORR
2010
Springer
81views Education» more  CORR 2010»
15 years 4 months ago
Relaxation-based coarsening and multiscale graph organization
We propose a new measure that quantifies the "closeness" between two nodes in a given graph. The calculation of the measure is linear in the number of edges in the graph...
Dorit Ron, Ilya Safro, Achi Brandt
DM
2006
71views more  DM 2006»
15 years 4 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides
SDM
2007
SIAM
139views Data Mining» more  SDM 2007»
15 years 5 months ago
Dynamic Algorithm for Graph Clustering Using Minimum Cut Tree
We present an efficient dynamic algorithm for clustering undirected graphs, whose edge property is changing continuously. The algorithm maintains clusters of high quality in pres...
Barna Saha, Pabitra Mitra
SWAT
2004
Springer
123views Algorithms» more  SWAT 2004»
15 years 9 months ago
A Simple Linear-Time Modular Decomposition Algorithm for Graphs, Using Order Extension
The first polynomial time algorithm (O(n4 )) for modular decomposition appeared in 1972 [8] and since then there have been incremental improvements, eventually resulting in linear...
Michel Habib, Fabien de Montgolfier, Christophe Pa...