A Simple Analysis of Ranking in General Graphs

November 11, 2025 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Mahsa Derakhshan, Mohammad Roghani, Mohammad Saneian, Tao Yu arXiv ID 2511.08801 Category cs.DS: Data Structures & Algorithms Citations 1 Venue arXiv.org Last Checked 4 months ago
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 $(1/2 + c)$-approximate matching for general graphs for $c \geq 0.005$.
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