Power sum expansion of chromatic quasisymmetric functions

被引:0
作者
Athanasiadis, Christos A. [1 ]
机构
[1] Univ Athens, Dept Math, Athens 15784, Hellas, Greece
关键词
Graph coloring; quasisymmetric function; power sum symmetric function; interval order; descent; acyclic orientation;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The chromatic quasisymmetric function of a graph was introduced by Shareshian and Wachs as a refinement of Stanley's chromatic symmetric function. An explicit combinatorial formula, conjectured by Shareshian and Wachs, expressing the chromatic quasisymmetric function of the incomparability graph of a natural unit interval order in terms of power sum symmetric functions, is proven. The proof uses a formula of Roichman for the irreducible characters of the symmetric group.
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页数:9
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