Results 11 to 20 of about 130,220 (362)

Covering Paths and Trees for Planar Grids [PDF]

open access: green, 2013
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]

open access: green, 2019
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

open access: green, 2015
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

open access: yesACM-SIAM Symposium on Discrete Algorithms
Mathieu Mari   +3 more
semanticscholar   +2 more sources

Improved Approximation for Node-Disjoint Paths in Grids with Sources on the Boundary

open access: greenInternational Colloquium on Automata, Languages and Programming, 2018
Julia Chuzhoy   +2 more
openalex   +3 more sources

Vertex Contact Representations of Paths on a Grid [PDF]

open access: yesJournal of Graph Algorithms and Applications, 2015
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]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023
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

open access: yesMathematics, 2021
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]

open access: yesSymposium on the Theory of Computing, 2017
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

An Effective Method for Computing the Least-Cost Path Using a Multi-Resolution Raster Cost Surface Model

open access: yesISPRS International Journal of Geo-Information, 2023
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

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