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Volumn 205, Issue 1-3, 1999, Pages 191-205

Maximising the permanent and complementary permanent of (0,1)-matrices with constant line sum

Author keywords

(0, 1) matrices; Permanent; Regular bipartite graphs; Rook polynomials

Indexed keywords


EID: 0141860546     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(99)00048-5     Document Type: Article
Times cited : (14)

References (9)
  • 2
    • 0000906859 scopus 로고
    • Some properties of nonnegative matrices and their permanents
    • L.M. Brègman, Some properties of nonnegative matrices and their permanents, Sov. Math. Dokl. 14 (1973) 945-949.
    • (1973) Sov. Math. Dokl. , vol.14 , pp. 945-949
    • Brègman, L.M.1
  • 4
    • 51249181744 scopus 로고
    • Hermite polynomials and a duality relation for the matchings polynomial
    • C.D. Godsil, Hermite polynomials and a duality relation for the matchings polynomial, Combinatorica 1 (1981) 257-262.
    • (1981) Combinatorica , vol.1 , pp. 257-262
    • Godsil, C.D.1
  • 5
    • 38249020159 scopus 로고
    • Asymptotic enumeration of Latin rectangles
    • C.D. Godsil, B.D. McKay, Asymptotic enumeration of Latin rectangles, J. Combin. Theory B 48 (1990) 19-44.
    • (1990) J. Combin. Theory B , vol.48 , pp. 19-44
    • Godsil, C.D.1    McKay, B.D.2
  • 6
    • 0039977014 scopus 로고    scopus 로고
    • Maximising the permanent of (0, 1)-matrices and the number of extensions of Latin rectangles
    • B.D. McKay, I.M. Wanless, Maximising the permanent of (0, 1)-matrices and the number of extensions of Latin rectangles, Elect. J. Combin. 5 (1998) R11.
    • (1998) Elect. J. Combin. , vol.5 , pp. 11
    • McKay, B.D.1    Wanless, I.M.2
  • 8
    • 0000773629 scopus 로고
    • Theory of permanents 1978-1981
    • H. Mine, Theory of permanents 1978-1981, Linear and Multilinear Algebra 12 (1983) 227-263.
    • (1983) Linear and Multilinear Algebra , vol.12 , pp. 227-263
    • Mine, H.1
  • 9
    • 0141748872 scopus 로고    scopus 로고
    • Counting 1-factors in regular bipartite graphs
    • A. Schrijver, Counting 1-factors in regular bipartite graphs, J. Combin. Theory B 72 (1998) 122-135.
    • (1998) J. Combin. Theory B , vol.72 , pp. 122-135
    • Schrijver, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.