Title of article :
Note on Transformations of Posets with the Same Upper Bound Graph and Minimal Elements
Author/Authors :
Ogawa, Kenjiro Tokai University - Department of Mathematical Sciences, Japan , Tsuchiya, Morimasa Tokai University - Department of Mathematical Sciences, Japan
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 minimal elements.
Keywords :
Upper bound graph , poset operation , canonical poset.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society