Proof: Every Connected Graph has a Spanning Tree | Graph Theory

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Graph Theory course:    • Graph Theory  
Graph Theory exercises:    • Graph Theory Exercises  

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Every connected graph has a spanning tree - this means that every connected graph G contains a subgraph H with three properties. H is connected, has no cycles, and has all vertices of G. A connected graph with no cycles is a tree. A subgraph of G with all vertices of G is called a spanning subgraph. Thus, a connected spanning subgraph with no cycles is a spanning tree! We'll be proving this useful result in today's graph theory video lesson!

Intro Tree Graphs:    • Intro to Tree Graphs | Trees in Graph Theo...  
Spanning Subgraphs:    • What is a Spanning Subgraph? | Graph Theory  
Edge is a Bridge iff it Lies on No Cycles:    • Proof: An Edge is a Bridge iff it Lies on ...  

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