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COMBINATORICS
2006
116views more  COMBINATORICS 2006»
13 years 8 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
FOCS
1999
IEEE
14 years 7 days ago
Taking a Walk in a Planar Arrangement
We present a randomized algorithm for computing portions of an arrangement of n arcs in the plane, each pair of which intersect in at most t points. We use this algorithm to perfo...
Sariel Har-Peled
CORR
2010
Springer
74views Education» more  CORR 2010»
13 years 8 months ago
A note on the random greedy triangle-packing algorithm
The random greedy algorithm for constructing a large partial Steiner-Triple-System is defined as follows. We begin with a complete graph on n vertices and proceed to remove the ed...
Tom Bohman, Alan M. Frieze, Eyal Lubetzky
JGAA
2002
99views more  JGAA 2002»
13 years 7 months ago
Graph Layout Aesthetics in UML Diagrams: User Preferences
The merit of automatic graph layout algorithms is typically judged by their computational efficiency and the extent to which they conform to aesthetic criteria (for example, minim...
Helen C. Purchase, Jo-Anne Allder, David A. Carrin...
DAM
2008
134views more  DAM 2008»
13 years 8 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...