메뉴 건너뛰기




Volumn 11, Issue 2 R, 2006, Pages 1-23

A refinement of cayley's formula for trees

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33750476280     PISSN: 10778926     EISSN: 10778926     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (70)

References (22)
  • 1
    • 0004002638 scopus 로고    scopus 로고
    • Encyclopedia of Mathematics and its Applications, 67, Cambridge University Press, Cambridge, Translated from the 1994 French original by Margaret Readdy
    • F. Bergeron, G. Labelle, and P. Leroux, Combinatorial Species and Tree-Like Structures, Encyclopedia of Mathematics and its Applications, 67, Cambridge University Press, Cambridge, 1997. Translated from the 1994 French original by Margaret Readdy.
    • (1997) Combinatorial Species and Tree-like Structures
    • Bergeron, F.1    Labelle, G.2    Leroux, P.3
  • 2
    • 0000663867 scopus 로고
    • A theorem on trees
    • A. Cayley, A theorem on trees, Quart. J. Math. 23 (1889), 376-378.
    • (1889) Quart. J. Math. , vol.23 , pp. 376-378
    • Cayley, A.1
  • 3
    • 0035413452 scopus 로고    scopus 로고
    • Bijections behind the Ramanujan polynomials
    • W. Y. C. Chen and V. J. W. Guo, Bijections behind the Ramanujan polynomials, Adv. in Appl. Math. 27 (2001), 336-356.
    • (2001) Adv. in Appl. Math. , vol.27 , pp. 336-356
    • Chen, W.Y.C.1    Guo, V.J.W.2
  • 6
    • 38049043056 scopus 로고
    • Bijections for Cayley trees, spanning trees, and their q-analogues
    • Ö. Eǧecioǧlu and J. B. Remmel, Bijections for Cayley trees, spanning trees, and their q-analogues, J. Combin. Theory Ser. A 42 (1986). 15-30.
    • (1986) J. Combin. Theory Ser. A , vol.42 , pp. 15-30
    • Eǧecioǧlu, Ö.1    Remmel, J.B.2
  • 7
    • 10644254173 scopus 로고    scopus 로고
    • Counting forests by descents and leaves
    • #R8
    • I. M. Gessel, Counting forests by descents and leaves, Electron. J. Combin. 3 (1996), no. 2, #R8.
    • (1996) Electron. J. Combin. , vol.3 , Issue.2
    • Gessel, I.M.1
  • 10
    • 10644281451 scopus 로고    scopus 로고
    • Symmetries in trees and parking functions
    • L. H. Kalikow, Symmetries in trees and parking functions, Discrete Math. 256 (2002), 719-741.
    • (2002) Discrete Math. , vol.256 , pp. 719-741
    • Kalikow, L.H.1
  • 12
    • 13444312923 scopus 로고    scopus 로고
    • Permutohedra, associahedra, and beyond
    • Massachusetts Institute of Technology, Cambridge, Massachusetts
    • A. Postnikov, Permutohedra, associahedra, and beyond, Retrospective in Combinatorics: Honoring Richard Stanley's 60th Birthday, Massachusetts Institute of Technology, Cambridge, Massachusetts, 2004. Slides of the talk are available at http://www-math.mit.edu/~apost/talks/perm-slides.pdf.
    • (2004) Retrospective in Combinatorics: Honoring Richard Stanley's 60th Birthday
    • Postnikov, A.1
  • 15
    • 13444257539 scopus 로고    scopus 로고
    • A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees
    • #N3
    • S. Seo, A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees, Electron. J. Combin. 11 (2) (2004-2005), #N3.
    • (2004) Electron. J. Combin. , vol.11 , Issue.2
    • Seo, S.1
  • 17
    • 0001527444 scopus 로고
    • A new proof of Cayley's formula for counting labeled trees
    • P. W. Shor, A new proof of Cayley's formula for counting labeled trees, J. Combin. Theory Ser. A 71 (1995), 154-158.
    • (1995) J. Combin. Theory Ser. A , vol.71 , pp. 154-158
    • Shor, P.W.1
  • 18
    • 0003652674 scopus 로고    scopus 로고
    • Wadsworth & Brooks/Cole, Monterey, CA
    • R. P. Stanley, Enumerative Combinatorics, Vol. 1, Wadsworth & Brooks/Cole, Monterey, CA, 1986.
    • (1986) Enumerative Combinatorics , vol.1
    • Stanley, R.P.1
  • 19
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • R. P. Stanley, Enumerative Combinatorics, Vol. 2, Cambridge University Press, Cambridge, 1999.
    • (1999) Enumerative Combinatorics , vol.2
    • Stanley, R.P.1
  • 21
    • 0035413467 scopus 로고    scopus 로고
    • Generalized parking functions, tree inversions, and multicolored graphs
    • C. Yan, Generalized parking functions, tree inversions, and multicolored graphs. Adv. in Appl. Math. 27 (2001), 641-670.
    • (2001) Adv. in Appl. Math. , vol.27 , pp. 641-670
    • Yan, C.1
  • 22
    • 22644451584 scopus 로고    scopus 로고
    • A Ramanujan sequence that refines the Cayley formula for trees
    • J. Zeng, A Ramanujan sequence that refines the Cayley formula for trees, Ramanujan J. 3 (1999), 45-54.
    • (1999) Ramanujan J. , vol.3 , pp. 45-54
    • Zeng, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.