Optimal parallel algorithms on planar graphs
نویسندگان
چکیده
منابع مشابه
Optimal Parallel Algorithms for Path Problems on Planar Graphs
Given a biconnected planar graph G and a pair of vertices s and t, the two disjoint problem asks to find a pair of internally disjoint paths from s to t. We present a simple and efficient parallel algorithm for the same. Our algorithm uses the notion of bridges in a novel way and this results in a more elegant and simple algorithm than the existing one. The all-bidirectionaledges (ABE) problem ...
متن کاملSome Optimal Parallel Algorithms on Interval and Circular-arc Graphs
In this paper, we consider some shortest path related problems on interval and circular-arc graphs. For the all-pair shortest path query problem on interval and circular-arc graphs, instead of using the sophisticated technique, we propose simple parallel algorithms using only the parallel prefix and suffix computations and the Euler tour technique. Our preprocessing algorithms run in O(log n) t...
متن کاملParallel Algorithms for Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the terminals of a net. This paper presents four parallel algorithms for the Steiner forest problem and a related one. The first algorithm solves the problem for the case all the terminals are located on the outer boundary of G...
متن کاملEfficient Parallel Algorithms for Shortest Paths in Planar Graphs
Efficient parallel algorithms are presented, on the CREW PRAM model, for generating a succinct encoding of all pairs shortest path information in a directed planar graph G with real-valued edge costs but no negative cycles. We assume that a planar embedding of G is given, togetber with a set of q faces that cover all the vertices. Then our algorithm runs in O(log 2 n) time and employs O{nq + M(...
متن کاملOptimal, Output-sensitive Algorithms for Constructing Planar Hulls in Parallel
In this paper we focus on the problem of designing very fast parallel algorithms for the planar convex hull problem that achieve the optimal O(n log H) work-bound for input size n and output size H. Our algorithms are designed for the arbitrary CRCW PRAM model. We first describe a very simple ©(log n log H) time optimal deterministic algorithm for the planar hulls which is an improvement over t...
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: Information and Computation
سال: 1990
ISSN: 0890-5401
DOI: 10.1016/0890-5401(90)90034-f