대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권2호
  • /
  • Pages.415-420
  • /
  • 2005
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SETS OF WEAK EXPONENTS OF INDECOMPOSABILITY FOR IRREDUCIBLE BOOLEAN MATRICES

  • BO, ZHOU (DEPARTMENT OF MATHEMATICS, SOUTH CHINA NORMAL UNIVERSITY) ;
  • CHO, HAN-HYUK (DEPARTMENT OF MATHEMATICS EDUCATION, SEOUL NATIONAL UNIVERSITY) ;
  • KIM, SUH-RYUNG (DEPARTMENT OF MATHEMATICS EDUCATION, SEOUL NATIONAL UNIVERSITY)
  • 발행 : 2005.05.01
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초록

Let $IB_n$ be the set of all irreducible matrices in $B_n$ and let $SIB_n$ be the set of all symmetric matrices in $IB_n$. Finding an upper bound for the set of indices of matrices in $IB_n$ and $SIB_n$ and determining gaps in the set of indices of matrices in $IB_n$ and $SIB_n$ has been studied by many researchers. In this paper, we establish a best upper bound for the set of weak exponents of indecomposability of matrices in $SIB_n\;and\;IB_n$, and show that there does not exist a gap in the set of weak exponents of indecomposability for any of class $SIB_n\;and\;class\;IB_n$.

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참고문헌

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