A complete graph is a graph where every vertex is adjacent to every other vertex. In 1889
Question:
A complete graph is a graph where every vertex is adjacent to every other vertex. In 1889 Arthur Cayley proved that a complete graph with n vertices has nn-2 spanning trees.
a. How many spanning trees are there for a complete graph with 3 vertices, according to Cayley’s theorem? Verify this number by drawing a complete graph with 3 vertices and then finding all the spanning trees.
b. How many spanning trees are there for a complete graph with 4 vertices, according to Cayley’s theorem? Verify this number by drawing a complete graph with 4 vertices and then finding all the spanning trees.
c. How many spanning trees are there for a complete graph with 5 vertices?
d. How many spanning trees are there for a complete graph with 6 vertices?
Step by Step Answer:
a If n3 then 332313 These are sh...View the full answer
