REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (2): 174-178.

REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE

巫世权

Institute of Applied Mathematics, Chinese Academy of Sciences P. O. Box 2734, Beijing 100080, China

收稿日期:1992-04-16 出版日期:1994-06-25 发布日期:1994-06-25

REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE

Wu Shiquan

Institute of Applied Mathematics, Chinese Academy of Sciences P. O. Box 2734, Beijing 100080, China

Received:1992-04-16 Online:1994-06-25 Published:1994-06-25

摘要/Abstract

摘要： In this paper, we represent semiorders with height at most one by ordered paritions and give an analytic formula for enumerating the semiorders of an n-set. Problem 2. 21, posed by K. P. Bogart in[7], is closed for semiorders and interval orders with height at most one and cardinality n.

巫世权. REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE[J]. 数学物理学报(英文版), 1994, 14(2): 174-178.

Wu Shiquan. REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE[J]. Acta mathematica scientia,Series B, 1994, 14(2): 174-178.

REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE

REPRESENTATIONS AND ENUMERATIONS OF SEMIORDERS WITH HEIGHT ONE

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