723 citations
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Showing 2007 · math.COShow all
3 papers · 2 filters
math.CO2007★ 1 cited
Enumeration of Point-Determining Graphs
Ira Gessel, Ji Li
Point-determining graphs are graphs in which no two vertices have the same neighborhoods, co-point-determining graphs are those whose complements are point-determining, and bi-poin…
math.CO2007
A major index for matchings and set partitions
William Y. C Chen, Ira M. Gessel, Catherine H. Yan +1
We introduce a statistic $\pmaj$ on partitions of , and show that it is equidistributed with the number of 2-crossings over partitions of with given sets…
math.CO2007
A Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Term Identities
Ira M. Gessel, Lun Lv, Guoce Xin +1
We introduce an elementary method to give unified proofs of the Dyson, Morris, and Aomoto identities for constant terms of Laurent polynomials. These identities can be expressed as…