A simple min-cut algorithm

Author:

Stoer Mechthild1,Wagner Frank2

Affiliation:

1. Televerkets Forskningsinstitutt, Kjeller, Norway

2. Freie Univ. Berlin, Berlin-Dahlem, Germany

Abstract

We present an algorithm for finding the minimum cut of an undirected edge-weighted graph. It is simple in every respect. It has a short and compact description, is easy to implement, and has a surprisingly simple proof of correctness. Its runtime matches that of the fastest algorithm known. The runtime analysis is straightforward. In contrast to nearly all approaches so far, the algorithm uses no flow techniques. Roughly speaking, the algorithm consists of about | V | nearly identical phases each of which is a maximum adjacency search .

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference15 articles.

1. Improved Time Bounds for the Maximum Flow Problem

2. Generating pseudo-random permutations and maximum flow algorithms

3. Can a maximum flow be computed in o(nm) time?

4. Maximal flow through a network;FORD L. R.;Can. J. Math.,1956

5. FRANK A. 1994. On the Edge-Connectivity Algorithm of Nagamochi and Ibaraki. Laboratoire Artemis IMAG Universit6 J. Fourier Grenoble Switzerland. FRANK A. 1994. On the Edge-Connectivity Algorithm of Nagamochi and Ibaraki. Laboratoire Artemis IMAG Universit6 J. Fourier Grenoble Switzerland.

Cited by 431 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. High-precision ultra-fast minimum cut approximation through aggregated hash of cut collection;Chaos, Solitons & Fractals;2024-10

2. Max-flow min-cut theorem in quantum computing;Physica A: Statistical Mechanics and its Applications;2024-09

3. Fuzzy Clustering From Subset-Clustering to Fullset-Membership;IEEE Transactions on Fuzzy Systems;2024-09

4. On supervalid inequalities for binary interdiction games;Mathematical Programming;2024-07-27

5. Algorithms for Densest Subgraphs of Vertex-Weighted Graphs;Mathematics;2024-07-14

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3