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» Minimum independent dominating sets of random cubic graphs
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CCCG
2010
13 years 9 months ago
Approximating the independent domatic partition problem in random geometric graphs - an experimental study
We investigate experimentally the Domatic Partition (DP) problem, the Independent Domatic Partition (IDP) problem and the Idomatic partition problem in Random Geometric Graphs (RG...
Dhia Mahjoub, Angelika Leskovskaya, David W. Matul...
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 7 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
FOCS
2008
IEEE
14 years 2 months ago
Constant-Time Approximation Algorithms via Local Improvements
We present a technique for transforming classical approximation algorithms into constant-time algorithms that approximate the size of the optimal solution. Our technique is applic...
Huy N. Nguyen, Krzysztof Onak
IWPEC
2009
Springer
14 years 2 months ago
Boolean-Width of Graphs
Abstract. We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. For many graph problems this number is...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 9 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák