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» Packing vertices and edges in random regular graphs
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RSA
2008
47views more  RSA 2008»
13 years 10 months ago
Packing vertices and edges in random regular graphs
Mihalis Beis, William Duckworth, Michele Zito
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
13 years 11 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
SPAA
2005
ACM
14 years 4 months ago
Peer-to-peer networks based on random transformations of connected regular undirected graphs
We present k-Flipper, a graph transformation algorithm that transforms regular undirected graphs. Given a path of k +2 edges it interchanges the end vertices of the path. By defin...
Peter Mahlmann, Christian Schindelhauer
RSA
2006
66views more  RSA 2006»
13 years 10 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
MFCS
2007
Springer
14 years 5 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito