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Linear and Multilinear Algebra Volume 55, 2007 - Issue 1
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Original Articles

On Minc's sixth Conjecture

Ian M. Wanless† School of Mathematical Sciences, Monash University, Vic 3800, AustraliaCorrespondence[email protected]
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Pages 57-63 | Accepted 12 Feb 2005, Published online: 10 Oct 2011

References

  • Brègman , LM . 1973 . Some properties of nonnegative matrices and their permanents . Soviet Mathematics Doklady , 14 : 945 – 949 .
  • Cheon , G-S and Wanless , IM . 2005 . An update on Minc's survey of open problems involving permanents . Linear Algebra Applications , 403 : 314 – 342 .
  • Godsil , CD and McKay , BD . 1990 . Asymptotic enumeration of Latin rectangles . Journal of Combinatorial Theory. Series B , 48 : 19 – 44 .
  • Grabner , PJ , Tichy , RF and Zimmermann , UT . 1996 . Inequalities for the gamma function with applications to permanents . Discrete Mathematics , 154 : 53 – 62 .
  • McKay , BD and Wanless , IM . 2005 . On the number of Latin squares . Annals of Combinatorics , 9 : 335 – 344 .
  • Minc , H . 1978 . “ Permanents ” . In Encyclopedia of Mathematical and its Applications , Vol. 6 , Addison-Wesley : Reading Mass .
  • Minc , H . 1983 . Theory of permanents 1978–1981 . Linear and Multilinear Algebra , 12 : 227 – 263 .
  • Wanless , IM . 1999 . Maximising the permanent and complementary permanent of (0,1) matrices with constant line sum . Discrete Mathematics , 205 : 191 – 205 .
  • Wanless , IM . 2003 . A lower bound on the maximum permanent in . Linear Algebra Applications , 373 : 153 – 167 .
  • Wanless , IM . Addendum to Schrijver's work on minimum permanents . Combinatorica , (To appear)

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