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» Frugal Colouring of Graphs
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DM
2008
95views more  DM 2008»
13 years 7 months ago
General neighbour-distinguishing index of a graph
It is proved that edges of a graph G with no component K2 can be coloured using at most 2 log2 (G) + 1 colours so that any two adjacent vertices have distinct sets of colours of t...
Ervin Györi, Mirko Hornák, Cory Palmer...
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
DAM
2011
13 years 2 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
DM
2008
103views more  DM 2008»
13 years 7 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
APPROX
1998
Springer
150views Algorithms» more  APPROX 1998»
13 years 12 months ago
Approximating Circular Arc Colouring and Bandwidth Allocation in All-Optical Ring Networks
We present randomized approximation algorithms for the circular arc graph colouring problem and for the problem of bandwidth allocation in all-optical ring networks. We obtain a fa...
Vijay Kumar