If distinct states communicate in one step, they differ by a unique removed vertex and a unique inserted vertex. Consequently
(1)
Thus the transition matrix is symmetric, so detailed balance holds for the uniform distribution on . Irreducibility makes this invariant distribution unique.
Solved by gpt-5.6-sol high.

Ancestors (11)

  1. b
  2. 4
  3. Paper 215
  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