Results 11 to 20 of about 130,220 (362)
Covering Paths and Trees for Planar Grids [PDF]
Given a set of points in the plane, a covering path is a polygonal path that visits all the points. In this paper we consider covering paths of the vertices of an n x m grid.
Balázs Keszegh
openalex +5 more sources
Generalizing the Covering Path Problem on a Grid [PDF]
We study the covering path problem on a grid of R^{2}. We generalize earlier results on a rectangular grid and prove that the covering path cost can be bounded by the area and perimeter of the grid. We provide (2+ ) and (1+ )-approximations for the problem on a general grid and on a convex grid, respectively.
Liwei Zeng +2 more
openalex +3 more sources
On paths in grids with forbidden transitions
Une transition dans un graphe est une paire d'arêtes incidentes à un même sommet. Etant donnés un graphe G = (V, E), deux sommets s,t ∈ V et un ensemble associé de transitions interdites F ⊆ E × E, le problème de chemin évitant des transitions interdites consiste à décider s'il existe un chemin élémentaire de s à t qui n'utilise aucune des transitions ...
Mamadou Moustapha Kanté +3 more
openalex +3 more sources
Shortest Disjoint Paths on a Grid
Mathieu Mari +3 more
semanticscholar +2 more sources
Improved Approximation for Node-Disjoint Paths in Grids with Sources on the Boundary
Julia Chuzhoy +2 more
openalex +3 more sources
Vertex Contact Representations of Paths on a Grid [PDF]
We study Vertex Contact representations of Paths on a Grid (VCPG). In such a representation, the vertices of G are represented by a family of interiorly disjoint grid-paths on a square grid. Adjacencies are represented by contacts between an endpoint of one grid-path and an interior point of another grid-path.
Aerts, Nieke, Felsner, Stefan
openaire +1 more source
TOWARDS PEDESTRIAN ACCESSIBILITY ANALYSIS IN INDOOR ENVIRONMENTS WITH CROWDS [PDF]
Except in emergency cases, indoor crowds could also decrease the walking speed of pedestrians in daily life. To investigate daily-based accessibility of locations to a pedestrian in the presence of crowds, this paper proposes a method of indoor ...
L. Liu, S. Zlatanova
doaj +1 more source
Discrete Optimization: The Case of Generalized BCC Lattice
Recently, operations research, especially linear integer-programming, is used in various grids to find optimal paths and, based on that, digital distance.
Gergely Kovács +4 more
doaj +1 more source
Almost polynomial hardness of node-disjoint paths in grids [PDF]
In the classical Node-Disjoint Paths (NDP) problem, we are given an n-vertex graph G=(V,E), and a collection M={(s1,t1),…,(sk,tk)} of pairs of its vertices, called source-destination, or demand pairs.
Julia Chuzhoy +2 more
semanticscholar +1 more source
Calculating the least-cost path (LCP) is a fundamental operation in raster-based geographic information systems (GIS). The LCP is applied to raster cost surfaces, in which it determines the most cost-effective path.
Qiuling Tang, Wanfeng Dou
doaj +1 more source

