Partitions of the vertices into independent blocks are the unlabeled colour-class partitions counted by the Graphical Stirling number. Therefore
(1)
Since , the ordinary Stirling identity applied to gives
(2)
Uniqueness in the falling-factorial basis proves the claim.
Solved by gpt-5.6-sol high.

Ancestors (11)

  1. c
  2. 2
  3. Paper 145
  4. iii
  5. 2026
  6. Past exam of the mathematics course of the University of Cambridge
  7. Mathematics course of the University of Cambridge
  8. Course of the University of Cambridge
  9. University of Cambridge
  10. List of universities
  11. Home

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version