English

A new algorithm for Many to Many Matching with Demands and Capacities

Data Structures and Algorithms 2013-02-19 v1

Abstract

Let A={a_1,a_2,...,a_s} and {b_1,b_2,...,b_t} with s+r=n, the many to many point matching with demands and capacities matches each point a_i in A to at least alpha_i and at most alpha_i points in B, and each point b_j in B to at least beta_j and at most beta_j points in A for all 1 <= i <= s and 1 <= j <= t. In this paper, we present an O(n^4) time and O(n) space algorithm for this problem.

Keywords

Cite

@article{arxiv.1302.4426,
  title  = {A new algorithm for Many to Many Matching with Demands and Capacities},
  author = {Fatemeh Rajabi-Alni},
  journal= {arXiv preprint arXiv:1302.4426},
  year   = {2013}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-21T23:28:20.430Z