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1995•Bulletin of the Korean Mathematical SocietyRequires access

LOWER BOUNDS OF THE NUMBER OF JUMP OPTIMAL LINEAR EXTENSIONS : PRODUCTS OF SOME POSETS

Hyung Chan Jung

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Abstract

Let P be a finite poset and let P be the number of vertices in pp. A subposet of P is a subset of P with the induced order. A chain C in P is a subposet of P which is a linear order. The length of the chain C is C - 1. A linear extension of a poset P is a linear order $L = x_1, x_2, \ldots, x_n$ of the elements of P such that $x_i

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Let P be a finite poset and let P be the number of vertices in pp. A subposet of P is a subset of P with the induced order. A chain C in P is a subposet of P which is a linear order. The length of the chain C is C - 1. A linear extension of a poset P is a linear order $L = x_1, x_2, \ldots, x_n$ of the elements of P such that $x_i

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Available abstract

Let P be a finite poset and let P be the number of vertices in pp. A subposet of P is a subset of P with the induced order. A chain C in P is a subposet of P which is a linear order. The length of the chain C is C - 1. A linear extension of a poset P is a linear order $L = x_1, x_2, \ldots, x_n$ of the elements of P such that $x_i

Key concepts: Partially ordered set, Linear extension, Mathematics, Order (exchange), Combinatorics, Chain (unit), Jump, Extension (predicate logic)

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