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Using ld-irreducible posets, we can easily characterize posets with respect to linear discrepancy. However, it is difficult to have the list of all the irreducible posets with respect to a given linear discrepancy. In this paper, we investigate some properties of disconnected posets and connected posets with respect to linear discrepancy, respectively and then we find various relationships between ld-irreducibily and connectedness. From these results, we suggest some methods to construct ld-irreducible posets.
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참고문헌 (6)
참고문헌 신청
G.-B. Chae / 2006 / Irreducible posets of linear discrepancy 1 and 2 / Far East J. Math. Sci. (FJMS) 22(2):217~226
채갑병 / 2018 / A characterization of $n$-posets of ld $n-k$ with simple posets / 대한수학회보 55(3):777~788
정민석 / 2017 / The linear discrepancy of a product of two posets / 대한수학회보 54(3):1081~1094
David M. Howard / 2008 / Irreducible Width 2 Posets of Linear Discrepancy 3 / Order 25(2):105~119
David M. Howard / 2007 / A Characterization of Partially Ordered Sets with Linear Discrepancy Equal to 2 / Order 24(3):139~153
채갑병 / 2018 / A characterization of $n$-posets of ld $n-k$ with simple posets / 대한수학회보 55(3):777~788
정민석 / 2017 / The linear discrepancy of a product of two posets / 대한수학회보 54(3):1081~1094
David M. Howard / 2008 / Irreducible Width 2 Posets of Linear Discrepancy 3 / Order 25(2):105~119
David M. Howard / 2007 / A Characterization of Partially Ordered Sets with Linear Discrepancy Equal to 2 / Order 24(3):139~153
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