Computing the jump number on semi-orders is polynomial

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چکیده

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Computing the Jump Number on Semi-orders Is Polynomial

1) Introduction and notations In this first section we will give our main definitions and recall different characterizations of interval and semi-orders. In section 2 we shall prove that after a decomposition routine, semi-orders have at most 2 consecutive bumps in a linear extension. We also prove, using a "divide-and-conquer" argument, that computing polynomially the jump number can be done p...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 1994

ISSN: 0166-218X

DOI: 10.1016/0166-218x(94)90111-2