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Learn Graph Algorithms in C++

The Minimum Spanning Tree Problem

Explore the minimum spanning tree problem and understand how to identify the lowest cost subset of edges connecting all nodes in a weighted, undirected graph. Learn the properties of trees and why the MST ensures connectivity with minimal cost. This lesson also introduces Kruskal's algorithm as a method to compute MST solutions effectively.

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Defining the problem

The minimum spanning tree (MST) problem deals with connected, weighted, undirected graphs G=(V,E,w)G = (V, E, w). Here, the weights can be interpreted as costs, and the goal is to select some subset of edges F⊆EF \subseteq E that connect the nodes of VV in a cost-optimal way. In particular, we want

  • FF
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