Question discussion

How many different spanning trees does the complete graph K4 (4 vertices, every pair joined by an edge) have?

2383Medium DSSSB TGT Computer Science 0 replies 1 views
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How many different spanning trees does the complete graph K4 (4 vertices, every pair joined by an edge) have?

  • A16
  • B12
  • C8
  • D24
Correct answer: A

Explanation

By Cayley's formula the number of labelled trees on n vertices is n^(n−2) = 4² = 16.

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