# Spanning Trees and Graphs

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Does every graph have a spanning tree? If not, then can you tell from the number of nodes and the number of edges a graph has whether it has a spanning tree, or do you need more information?

Â© BrainMass Inc. brainmass.com September 24, 2022, 6:46 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/spanning-trees-graphs-18586

#### Solution Preview

To have a spanning tree, the graph must be connected, i.e. given any

two nodes A and B, there exists a path that connects A and B.

Every ...

#### Solution Summary

Spanning trees and graphs are discussed. The edges of a graph are determined.

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