منابع مشابه
Enumerating Triangulation Paths
Recently, Aichholzer introduced the remarkable concept of the so-called triangulation path (of a triangulation with respect to a segment), which has the potential of providing efficient counting of triangulations of a point set, and efficient representations of all such triangulations. Experiments support such evidence, although – apart from the basic uniqueness properties – little has been pro...
متن کاملImproving Shortest Paths in the Delaunay Triangulation
We study a problem about shortest paths in Delaunay triangulations. Given two nodes s, t in the Delaunay triangulation of a point set P , we look for a new point p that can be added, such that the shortest path from s to t, in the Delaunay triangulation of P ∪ {p}, improves as much as possible. We study several properties of the problem, and give efficient algorithms to find such point when the...
متن کاملEnumerating K best paths in length order in DAGs
We address the problem of finding the K best paths connecting a given pair of nodes in a directed acyclic graph (DAG) with arbitrary lengths. One of the main results in this paper is the proof that a tree representing the kth shortest path is obtained by an arc exchange in one of the previous (k-1) trees (each of which contains a previous best path). An O( ( log ) m K n K ) time and O(K+m) ...
متن کاملAn Efficient Algorithm for Enumerating Chordless Cycles and Chordless Paths
A chordless cycle (induced cycle) C of a graph is a cycle without any chord, meaning that there is no edge outside the cycle connecting two vertices of the cycle. A chordless path is defined similarly. In this paper, we consider the problems of enumerating chordless cycles/paths of a given graph G = (V,E), and propose algorithms taking O(|E|) time for each chordless cycle/path. In the existing ...
متن کاملTriangulation Refinement and Approximate Shortest Paths in Weighted Regions
Let T be a planar subdivision with n vertices. Each face of T has a weight from [1, ρ] ∪ {∞}. A path inside a face has cost equal to the product of its length and the face weight. In general, the cost of a path is the sum of the subpath costs in the faces intersected by the path. For any ε ∈ (0, 1), we present a fully polynomial-time approximation scheme that finds a (1 + ε)-approximate shortes...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2001
ISSN: 0925-7721
DOI: 10.1016/s0925-7721(01)00031-1