Conceitos essenciais
Proposing a 2-approximation algorithm for the Minimum Manhattan Network Problem.
Resumo
The content discusses a 2-approximation algorithm for the Minimum Manhattan Network (MMN) problem, aiming to find a network connecting points in two-dimensional space with minimum network length. The algorithm connects main and demo points, constructs a graph, computes the Minimum Spanning Tree (MST), and eliminates unnecessary edges for MMN. Analysis includes time complexity, approximation ratio, and experimental results comparing MMNFA with optimal solutions. References to related works and code implementation are provided.
Estatísticas
O(|E|lgN) time complexity proposed for the algorithm.
Approximation ratio of 2 for the constructed algorithm.
Random dataset results showing network lengths achieved by MMNFA.
Citações
"Most of the chips contain circuit path as rectilinear path."
"The Minimum Manhattan Network problem is formally introduced by Gudmundsson et al."
"A fast factor-3 approximation was presented by Benkert et al."