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Original Articles

Imprimitive non-powerful sign pattern matrices with maximum base

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Pages 371-390 | Received 03 Sep 2008, Accepted 29 Nov 2009, Published online: 22 Feb 2011

References

  • Cheng , B and Liu , BL . 2008 . The base set of primitive zero-symmetric sign pattern matrices . Linear Algebra Appl. , 428 : 715 – 731 .
  • Li , Z , Hall , F and Eschenbach , C . 1994 . On the period and base of a sign pattern matrix . Linear Algebra Appl. , 212/213 : 101 – 120 .
  • Liu , BL . 2007 . The period and base of reducible sign pattern matrix . Discrete Math. , 307 : 3031 – 3039 .
  • Liu , BL and Lai , HJ . 2000 . Matrix in Combinatorics and Graph Theory , Dordrecht : Kluwer Academic Publishers .
  • Liu , BL and You , LH . 2006 . Bounds on the base of primitive nearly reducible sign pattern matrices . Linear Algebra Appl. , 418 : 863 – 881 .
  • Shao , JY and Li , Q . 1987 . On the indices of convergence of irreducible Boolean matrices . Linear Algebra Appl. , 97 : 185 – 210 .
  • You , LH , Shao , JY and Shan , HY . 2007 . Bounds on the bases of irreducible generalized sign pattern matrices . Linear Algebra Appl. , 427 : 285 – 300 .

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