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In this paper, we obtain the enumeration results on the number of linear extensions of diamond posets. We find the recurrence relations and exponential generating functions for the number of linear extensions of diamond posets. We also get some results for the volume of graph polytope associated with bipartite graphs which are underlying graphs of diamond posets.
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참고문헌 (6)
참고문헌 신청
Richard Beals / 2010 / Special Functions, Cambridge studies in ad-vanced mathematics 126 / Cambridge University Press
주형관 / 2018 / Different volume computational methods of graph polytopes / 대한수학회보 55(5):1405~1417
주형관 / 2016 / Volume of graph polytopes for the path-star type graphs / 호남수학학술지 38(1):71~84
The Online Encyclopedia of Integer Sequences(OEIS)
Richard P / 2011 / Stanley, Enumerative Combinatorics, vol.1 / Cambridge University Press
주형관 / 2018 / Different volume computational methods of graph polytopes / 대한수학회보 55(5):1405~1417
주형관 / 2016 / Volume of graph polytopes for the path-star type graphs / 호남수학학술지 38(1):71~84
The Online Encyclopedia of Integer Sequences(OEIS)
Richard P / 2011 / Stanley, Enumerative Combinatorics, vol.1 / Cambridge University Press
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