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Volumn 338, Issue 1-3, 2001, Pages 19-26

Extension of MacMahon's Master Theorem to pre-semi-rings

Author keywords

Combinatorial matrix algebra; Determinantal identities; Formal series; Semi rings

Indexed keywords


EID: 0035889791     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00376-7     Document Type: Article
Times cited : (5)

References (13)
  • 3
    • 0003228035 scopus 로고
    • Problèmes Combinatoires de Commutation et Réarrangement
    • Springer, Berlin
    • P. Cartier, D. Foata, Problèmes Combinatoires de Commutation et Réarrangement. Lectures Notes in Mathematics, vol. 85, Springer, Berlin, 1969.
    • (1969) Lectures Notes in Mathematics , vol.85
    • Cartier, P.1    Foata, D.2
  • 4
    • 0001805433 scopus 로고
    • Etude algébriques de certains problèmes d'analyse combinatoire et du calcul des probabilités
    • D. Foata, Etude algébriques de certains problèmes d'analyse combinatoire et du calcul des probabilités, Publ. Inst. Stat. Univ. Paris 14 (1965) 81-241.
    • (1965) Publ. Inst. Stat. Univ. Paris , vol.14 , pp. 81-241
    • Foata, D.1
  • 5
    • 0001755175 scopus 로고
    • A combinatorial proof of Jacobi's identity
    • Foata D. A combinatorial proof of Jacobi's identity. Ann. Discrete Math. 6:1980;125-135.
    • (1980) Ann. Discrete Math. , vol.6 , pp. 125-135
    • Foata, D.1
  • 6
    • 0004205061 scopus 로고
    • Cambridge University Press, Cambridge Chelsea, New York
    • P.A. MacMahon, Combinatory Analysis, Cambridge University Press, Cambridge, 1915; Chelsea, New York, 1960.
    • (1915) Combinatory Analysis
    • MacMahon, P.A.1
  • 7
    • 0040560511 scopus 로고    scopus 로고
    • Bideterminants, Arborescences and extension of the matrix-tree theorem to semirings
    • Minoux M. Bideterminants, Arborescences and extension of the matrix-tree theorem to semirings. Discrete Math. 171:1997;191-200.
    • (1997) Discrete Math. , vol.171 , pp. 191-200
    • Minoux, M.1
  • 8
    • 0043209355 scopus 로고    scopus 로고
    • A generalization of the all minors matrix-tree theorem to semi-rings
    • Minoux M. A generalization of the all minors matrix-tree theorem to semi-rings. Discrete Math. 199:1999;139-158.
    • (1999) Discrete Math. , vol.199 , pp. 139-158
    • Minoux, M.1
  • 9
    • 0011615213 scopus 로고
    • Line-digraphs, arborescences and theorems of Tutte and Knuth
    • Orlin J.B. Line-digraphs, arborescences and theorems of Tutte and Knuth. J. Combin. Theory, Ser. B. 25:1978;187-198.
    • (1978) J. Combin. Theory, Ser. B , vol.25 , pp. 187-198
    • Orlin, J.B.1
  • 11
    • 0038015710 scopus 로고
    • A combinatorial proof of the Cayley-Hamilton theorem
    • Straubing H. A combinatorial proof of the Cayley-Hamilton theorem. Discrete Math. 43:1983;273-279.
    • (1983) Discrete Math. , vol.43 , pp. 273-279
    • Straubing, H.1
  • 13
    • 0001772282 scopus 로고
    • A combinatorial approach to matrix algebra
    • Zeilberger D. A combinatorial approach to matrix algebra. Discrete Math. 56:1985;61-72.
    • (1985) Discrete Math. , vol.56 , pp. 61-72
    • Zeilberger, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.