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- W2082885462 abstract "Let A = [aij] be an m-by-n matrix. There is a natural way to associate a poset PA with A. Let x1,…,xm and y1,…,yn be disjoint sets of m and n elements, respectively, and define xi < yj if and only if aij ≠ 0. The poset PA is the bipartite graph of A looked at as a poset, and is called a bipartite poset. The jump number of a poset is the minimum number of jumps in any linear extension of PA. (A jump in a linear extension of PA is a pair of consecutive elements which are incomparable in PA.) We investigate the jump number of bipartite posets and its relation to matrix structure. We also consider the maximum and minimum jump numbers of matrices of 0's and 1's with a constant number k of 1's in each row and column." @default.
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- W2082885462 date "1992-07-01" @default.
- W2082885462 modified "2023-09-28" @default.
- W2082885462 title "Maximum and minimum jump number of posets from matrices" @default.
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- W2082885462 doi "https://doi.org/10.1016/0024-3795(92)90030-e" @default.
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