DOI QR코드

DOI QR Code

THE EXPECTED INDEPENDENT DOMINATION NUMBER OF RANDOM DIRECTED ROOTED TREES

  • 발행 : 2004.09.01

초록

We derive a formula for the expected value $\mu$(n) of the independent domination number of a random directed rooted tree with n labeled vertices and determine the asymptotic behavior of $\mu$(n) as n goes to infinity.

키워드

참고문헌

  1. A. Cayley, On the analytical forms called trees, Philos. Mag. 28 (1858), 374–378. [Collected Mathematical Papers, Cambridge 4 (1891), 112–115.]
  2. G. Chartrand and L. Lesniak, Graphs & Digraphs, Wadsworth & Brooks, Monterey, 1986
  3. I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, New York, 1983
  4. K. Knopp, Infinite Sequences and Series, Dover, New York, 1956
  5. C. Lee, The expectation of independent domination number over random binary trees, Ars Combin. 56 (2000), 201–209
  6. A. Meir and J. W. Moon, The expected node-independence number of random trees, Proc. Kon. Ned. v. Wetensch 76 (1973), 335–341
  7. J. W. Moon, Counting Labelled Trees, Canadian Mathematical Congress, Montreal, 1970
  8. J. Riordan, Combinatorial Identities, Robert E. Krieger, New York, 1979
  9. N. J. A. Sloane and S. Plouffe, The Encyclopedia of Integer Sequences, Academic Press, San Diego, 1995