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» The chromatic numbers of random hypergraphs
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DM
2008
103views more  DM 2008»
14 years 9 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...
75
Voted
ICALP
2000
Springer
15 years 1 months ago
Two-coloring Random Hypergraphs
: A 2-coloring of a hypergraph is a mapping from its vertex set to a set of two colors such that no edge is monochromatic. Let H = H k n p be a random k-uniform hypergraph on a ver...
Dimitris Achlioptas, Jeong Han Kim, Michael Krivel...
KDD
2012
ACM
196views Data Mining» more  KDD 2012»
13 years 18 hour ago
Chromatic correlation clustering
We study a novel clustering problem in which the pairwise relations between objects are categorical. This problem can be viewed as clustering the vertices of a graph whose edges a...
Francesco Bonchi, Aristides Gionis, Francesco Gull...
SIAMDM
2008
154views more  SIAMDM 2008»
14 years 9 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
RSA
2010
113views more  RSA 2010»
14 years 8 months ago
The order of the giant component of random hypergraphs
We establish central and local limit theorems for the number of vertices in the largest component of a random d-uniform hypergraph Hd(n, p) with edge probability p = c/ n−1 d−1...
Michael Behrisch, Amin Coja-Oghlan, Mihyun Kang