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» Minimum independent dominating sets of random cubic graphs
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CORR
2010
Springer
156views Education» more  CORR 2010»
13 years 7 months ago
A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set
A dominating set D of a graph G = (V, E) is a subset of vertices such that every vertex in V \ D has at least one neighbour in D. Moreover if D is an independent set, i.e. no verti...
Serge Gaspers, Mathieu Liedloff
PROPERTYTESTING
2010
13 years 5 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 5 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
14 years 28 days ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
ICDCS
2008
IEEE
14 years 2 months ago
Distributed Connected Dominating Set Construction in Geometric k-Disk Graphs
In this paper, we study the problem of minimum connected dominating set in geometric k-disk graphs. This research is motivated by the problem of virtual backbone construction in w...
Kai Xing, Wei Cheng, E. K. Park, Shmuel Rotenstrei...