Given an undirected graph, we'll define a triangle as a 3-clique. That is, it is a set of 3 nodes from G, such that G contains edges for each of the 3 connections to form a triangle. Show that TRIANGLE EP, where TRIANGLE = {(G) | G contains a triangle}

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Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.