Impact of Locality on Location Aware Unit Disk Graphs
نویسندگان
چکیده
منابع مشابه
Impact of Locality on Location Aware Unit Disk Graphs
Due to their importance for studies oi wireless networks, recent years have seen a surge of activity on the design of local algorithms for the solution of a variety of network tasks. We study the behaviour of algorithms with very low localities. Despite of this restriction we propose local constant ratio approximation algorithms for solving minimum dominating and connected dominating set, maxim...
متن کاملAnalysing local algorithms in location-aware quasi-unit-disk graphs
A local algorithm with local horizon r is a distributed algorithm that runs in r synchronous communication rounds; here r is a constant that does not depend on the size of the network. As a consequence, the output of a node in a local algorithm only depends on the input within r hops from the node. We give tight bounds on the local horizon for a class of local algorithms for combinatorial probl...
متن کاملLocal Construction and Coloring of Spanners of Location Aware Unit Disk Graphs
We look at the problem of coloring locally specially constructed spanners of unit disk graphs. First we present a local approximation algorithm for the vertex coloring problem in Unit Disk Graphs (UDGs) which uses at most four times as many colors as an optimal solution requires. Next we look at the colorability of spanners of UDGs. In particular we present a local algorithm for constructing a ...
متن کاملLocal Algorithms for Dominating and Connected Dominating Sets of Unit Disk Graphs with Location Aware Nodes
Many protocols in distributed computing make use of dominating and connected dominating sets, for example for broadcasting and the computation of routing. Ad hoc networks impose an additional requirement that algorithms for the construction of such sets should be local in the sense that each node of the network should make decisions based only on the information obtained from nodes located a co...
متن کاملLocal PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geographic coordinates in the plane (location aware nodes). Our algorithms are local in the sense that the status of each node v (whether or not v is in the computed set) depends only on the vertices which are a constant...
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: Algorithms
سال: 2008
ISSN: 1999-4893
DOI: 10.3390/a1010002