A Simple 2-Approximation Algorithm For Minimum Manhattan Network Problem
Computational Geometry
2024-03-19 v1 Computer Science and Game Theory
Abstract
Given a n points in two dimensional space, a Manhattan Network G is a network that connects all n points with either horizontal or vertical edges, with the property that for any two point in G should be connected by a Manhattan path and distance between this two points is equal to Manhattan Distance. The Minimum Manhattan Network problem is to find a Manhattan network with minimum network length, i.e., summation of all line segment in network should be minimize. In this paper, we proposed a 2-approximation algorithm with time complexity O(|E|lgN) where |E| is the number of edges and N is the number of nodes. Using randomly generated datasets, we compare our result with the optimal one.
Cite
@article{arxiv.2403.11811,
title = {A Simple 2-Approximation Algorithm For Minimum Manhattan Network Problem},
author = {Md. Musfiqur Rahman Sanim and Safrunnesa Saira and Fatin Faiaz Ahsan and Rajon Bardhan and S. M. Ferdous},
journal= {arXiv preprint arXiv:2403.11811},
year = {2024}
}
Comments
ARSSS International Conference, Dhaka, Bangladesh