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一类 (0 ,1 ) -矩阵的最大积和式的积分表达式(英文)

The Integral Expression of Maximum Permanent of a Class of (0,1)-Matrices
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摘要 给出了线和为 n- 2的 n阶 (0 ,1) -矩阵的最大积和式的积分表达式 。 In this paper, we give an integral expression of maximum permanent of (0,1) matrices of order n with exactly n-2 1′s in each line, and prove that the integral expression is equivalent to its combinatorial expression obtained in .
出处 《数学研究》 CSCD 2002年第3期338-341,共4页 Journal of Mathematical Study
基金 Supproted by Natural Science Foundation Qinghai Province(2 0 0 0 0 8)
关键词 最大积和式 积分表达式 (0 1)-矩阵 积和式 车多顶式 matrices permanent rook polynomial
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参考文献4

  • 1扈生彪.一类(0,1)-矩阵的最大积和式[J].Journal of Mathematical Research and Exposition,2003,23(1):169-172. 被引量:1
  • 2Bruald R A. Combinatorial matrix theory, published by the press Syndicate of theuniversity of Combridge, 1991
  • 3Brualdi R A, Goldwasser J L, Michael T S. Maximum permanents of matrices of zerosand ones. J. Combin. Theory, Ser. A, 1988, 47:207~245
  • 4Gogsil C D. Algebraic combinatorics. First published by Chapman and Hall, 1993

二级参考文献4

  • 1BRUALDI R A. Combinatorial Matrix Theory [M]. Press Syndicate of the University of Combridge, 1991.
  • 2MERRIELL D. The maximum permanent in Λkn [J]. Linear Multilin. Alg., 1980, 9: 81-91.
  • 3BOL'SHAKOV. Upper values of a permanant in Λkn [J]. Combinatorial analysis, 1986, 7: 92-118.
  • 4BRUALDI R A, GOLDWASSER J L, MICHAEL T S. Maximum permanent of matrices of zeros and ones [J]. J. Combin. Theory, Ser.A, 1988, 47: 207-245.

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