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Volumn 113, Issue 6, 2006, Pages 1061-1071

The Eulerian distribution on involutions is indeed unimodal

Author keywords

Descent number; Eulerian polynomial; Involutions; Unimodality; Zeilberger's algorithm

Indexed keywords


EID: 33745480144     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2005.10.002     Document Type: Article
Times cited : (27)

References (12)
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  • 2
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    • Désarménien, J.1    Foata, D.2
  • 5
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    • W.M.B. Dukes, Permutation statistics on involutions, European J. Combin., in press
  • 6
    • 33745513272 scopus 로고    scopus 로고
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  • 7
    • 0012662219 scopus 로고    scopus 로고
    • On the Neggers-Stanley conjecture and the Eulerian polynomials
    • Gasharov V. On the Neggers-Stanley conjecture and the Eulerian polynomials. J. Combin. Theory Ser. A 82 (1998) 134-146
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  • 8
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    • Counting permutations with given cycle structure and descent set
    • Gessel I.M., and Reutenauer C. Counting permutations with given cycle structure and descent set. J. Combin. Theory Ser. A 64 (1993) 189-215
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    • Gessel, I.M.1    Reutenauer, C.2
  • 9
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    • A note on concavity properties of triangular arrays of numbers
    • Kurtz D.C. A note on concavity properties of triangular arrays of numbers. J. Combin. Theory Ser. A 13 (1972) 135-139
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  • 10
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    • Log-concave and unimodal sequences in algebra, combinatorics, and geometry
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    • Eulerian numbers, tableaux, and the Betti numbers of a toric variety
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    • V. Strehl, Symmetric Eulerian distributions for involutions, in: Séminaire Lotharingien Combinatoire 1, Strasbourg, 1980, Publications de l'IRMA 140/S-02, Strasbourg, 1981


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.