2006•Unpublished venueRequires access

Note on Transformations of Posets with the Same Upper Bound Graph and Minimal Elements

Malaysian Mathematical, Kenjiro Ogawa, Morimasa Tsuchiya

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Abstract

Two posets with the same canonical poset and the same upper bound graph can be transformed into each other by a finite sequence of two kinds of transformations, called x < y-additions and x < y-deletions on mini- mal elements.

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What this paper is about

Two posets with the same canonical poset and the same upper bound graph can be transformed into each other by a finite sequence of two kinds of transformations, called x < y-additions and x < y-deletions on mini- mal elements.

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Available abstract

Two posets with the same canonical poset and the same upper bound graph can be transformed into each other by a finite sequence of two kinds of transformations, called x < y-additions and x < y-deletions on mini- mal elements.

Key concepts: Combinatorics, Partially ordered set, Mathematics, Star product, Upper and lower bounds, Graph, Sequence (biology), Discrete mathematics

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