🛠️ Steven Gong

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Feb 11, 2026 · 1 min read · 49 views · 7 in the last 30 days

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Graph Matching

Konig’s Theorem

First understand what Alternating Paths and Augmenting Paths are.

Konig’s Theorem

In a Bipartite Graph, the size of a maximum matching is equal to the size of a minimum cover.

This is proven using an algorithm which looks for augmenting paths called the Bipartite Matching Algorithm.

Graph View

Backlinks

  • Bipartite Matching Algorithm
  • Graph Matching
  • MATH 239 - Introduction to Combinatorics

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