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A Simple Analysis of Ranking in General Graphs

Published 11 Nov 2025 in cs.DS | (2511.08801v1)

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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