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- W2364125004 abstract "In 1992, Brualdi and Jung first introduced the maximum jump number M(n, k), that is, the maximum number of the jumps of all (0, 1)-matrices of order n with k 1's in each row and column, and then gave a table about the values of M(n, k) when 1 ≤ k ≤ n ≤ 10. They also put forward several conjectures, including the conjecture M(2k - 2, k) = 3k - 4 + [k-2/2]. In this paper, we prove that b(A) ≥ 4 for every A ∈ A(2k - 2, k) if k ≥ 11, and find another counter-example to this conjecture ." @default.
- W2364125004 created "2016-06-24" @default.
- W2364125004 creator A5080078884 @default.
- W2364125004 date "2005-01-01" @default.
- W2364125004 modified "2023-09-28" @default.
- W2364125004 title "The Maximum Jump Number of (0, 1)-Matrices of Order 2k - 2 with Fixed Row and Column Sum k" @default.
- W2364125004 hasPublicationYear "2005" @default.
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