English

A Simple Analysis of Ranking in General Graphs

Data Structures and Algorithms 2025-11-13 v1

Abstract

We provide a simple combinatorial analysis of the Ranking algorithm, originally introduced in the seminal work by Karp, Vazirani, and Vazirani [KVV90], demonstrating that it achieves a (1/2+c)(1/2 + c)-approximate matching for general graphs for c0.005c \geq 0.005.

Cite

@article{arxiv.2511.08801,
  title  = {A Simple Analysis of Ranking in General Graphs},
  author = {Mahsa Derakhshan and Mohammad Roghani and Mohammad Saneian and Tao Yu},
  journal= {arXiv preprint arXiv:2511.08801},
  year   = {2025}
}
R2 v1 2026-07-01T07:33:04.541Z