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COMBINATORICA
1998
77views more  COMBINATORICA 1998»
14 years 9 months ago
A Bound on the Total Chromatic Number
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
Michael Molloy, Bruce A. Reed
INFOCOM
2005
IEEE
15 years 3 months ago
FISSIONE: a scalable constant degree and low congestion DHT scheme based on Kautz graphs
Abstract— The distributed hash table (DHT) scheme has become the core component of many large-scale peer-to-peer networks. Degree, diameter, and congestion are important measures...
Dongsheng Li, Xicheng Lu, Jie Wu
APPML
2011
14 years 4 months ago
Bounds on the k-domination number of a graph
The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove t...
Ermelinda DeLaViña, Wayne Goddard, Michael ...
SIROCCO
2000
14 years 11 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
GD
1998
Springer
15 years 1 months ago
An Algorithm for Three-Dimensional Orthogonal Graph Drawing
Abstract. In this paper we present an algorithm for 3-dimensional orthogonal graph drawing based on the movement of vertices from an initial layout along the main diagonal of a cub...
David R. Wood