What is the Rooted Product of Graphs? [Graph Theory]
This video introduces the rooted product of graphs with several examples. We go over some basic properties of the rooted product of graphs, and contrast it with the the more commonly-known Cartesian product of graphs. The rooted product of graphs is an operation that takes as its first input a possibly rooted or unrooted graph, and as its second input a rooted graph. The rooted product produces copies of the second input graph for each vertex in the first input graph, and then "stitches" these copies together at their root vertices according to the structure of the first input graph.
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