The Number of Trees on n Vertices

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From the course by Shanghai Jiao Tong University
Discrete Mathematics
65 ratings
Shanghai Jiao Tong University
65 ratings
From the lesson
Spanning Trees
We discuss spanning trees of graphs. In particular we present Kruskal's algorithm for finding the minimum spanning tree of a graph with edge costs. We prove Cayley's formula, stating that the complete graph on n vertices has n^(n-2) spanning trees.

Meet the Instructors

  • Dominik Scheder
    Dominik Scheder
    Assistant Professor
    The Department of Computer Science and Engineering

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