Bipartite posets with a unique optimal linear extension

  • Yoon, Young-Jin (Department of Mathematics, Kunsan National University, Chunbuk 573-701)
  • Published : 1996.08.01

Abstract

Let P be a finite poset and let $\mid$P$\mid$ 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 $\mid$C$\mid$ - 1. A poset is bipartite if the length of each maximal chain is one.

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