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DM
2008
103views more  DM 2008»
14 years 11 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...
SLS
2007
Springer
117views Algorithms» more  SLS 2007»
15 years 5 months ago
An Algorithm Portfolio for the Sub-graph Isomorphism Problem
Abstract. This work presents an algorithm for the sub-graph isomorphism problem based on a new pruning technique for directed graphs. During the tree search, the method checks if a...
Roberto Battiti, Franco Mascia
CPC
2007
101views more  CPC 2007»
14 years 11 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 12 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
FOCS
2008
IEEE
15 years 6 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...