A Spanning tree of an undirected graph, G is a tree formed from graph edges that connects all vertices of G.

__MINIMUM
SPANNING TREES:__

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A **Spanning
tree** of an undirected graph, G is a tree formed from graph edges that
connects all vertices of G.

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A **Minimum
Spanning tree** of an undirected graph, G is a tree formed from graph edges
that connects all vertices of G at lowest cost.

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A minimum spanning tree exists if and only if G is
connected. The number of edges in the minimum spanning tree is |V| -1.

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The minimum spanning **tree** is a tree because it is acyclic, it is **spanning** because it covers every vertex, and it is **minimum** because it covers with minimum
cost.

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The minimum spanning tree can be created using two
algorithms, that is **primâ€™s ****algorithm **and** kruskalâ€™s algorithm.**

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Programming and Data structures : Graphs : Minimum Spanning Trees |

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