Polynomial-time data reduction for dominating set
نویسندگان
چکیده
منابع مشابه
Semidefinite relaxation for dominating set
‎It is a well-known fact that finding a minimum dominating set and consequently the domination number of a general graph is an NP-complete problem‎. ‎In this paper‎, ‎we first model it as a nonlinear binary optimization problem and then extract two closely related semidefinite relaxations‎. ‎For each of these relaxations‎, ‎different rounding algorithm is exp...
متن کاملA polynomial-time approximation scheme for the minimum-connected dominating set in ad hoc wireless networks
A connected dominating set in a graph is a subset of vertices such that every vertex is either in the subset or adjacent to a vertex in the subset and the subgraph induced by the subset is connected. A minimum-connected dominating set is such a vertex subset with minimum cardinality. An application in ad hoc wireless networks requires the study of the minimum-connected dominating set in unit-di...
متن کاملPolynomial-Time Approximation Scheme for Minimum Connected Dominating Set in Ad Hoc Wireless Networks
A connected dominating set in a graph is a subset of vertices such that every vertex is either in the subset or adjacent to a vertex in the subset and the subgraph induced by the subset is connected. The minimum connected dominating set is such a vertex subset with minimum cardinality. An application in ad hoc wireless networks requires the study of the minimum connected dominating set in unit-...
متن کاملEfficient Data Reduction for DOMINATING SET: A Linear Problem Kernel for the Planar Case
Dealing with the NP-complete Dominating Set problem on undirected graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In particular, we prove that Dominating Set on planar graphs has a so-called problem kernel of linear size, achieved by two simple and easy to implement reduction rules. This answers an open question from previous w...
متن کاملPolynomial-Time Data Reduction for the Subset Interconnection Design Problem
The NP-hard Subset Interconnection Design problem, also known as Minimum Topic-Connected Overlay, is motivated by numerous applications including the design of scalable overlay networks and vacuum systems. It has as input a finite set V and a collection of subsets V1, V2, . . . , Vm ⊆ V , and asks for a minimum-cardinality edge set E such that for the graph G = (V, E) all induced subgraphs G[V1...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the ACM
سال: 2004
ISSN: 0004-5411,1557-735X
DOI: 10.1145/990308.990309