论文标题
图形的加权tutte-grothendieck多项式
Weighted Tutte-Grothendieck polynomials of graphs
论文作者
论文摘要
在本文中，我们介绍了图形的加权（谐波）色多项式的概念，并讨论其某些特性。我们还提出了图形的加权（谐波）tutte的概念，并列出了图形的多项式，并在谐波tutte-grothendieck多项式图和谐调的谐波多项式多项式之间对食谱定理进行了概括。此外，我们提供了一些加权（谐波）tutte的构造 - 用于图形的图形和用于矩阵的加权（谐波）tutte不变性的结构。最后，我们对矩形的图和谐波多项式的谐波色多项式分类进行了评论。
In this paper, we introduce the concept of the weighted (harmonic) chromatic polynomials of graphs and discuss some of its properties. We also present the notion of the weighted (harmonic) Tutte--Grothendieck polynomials of graphs and give a generalization of the recipe theorem between the harmonic Tutte--Grothendieck polynomials graphs and the harmonic Tutte polynomials of matroids. Moreover, we give some constructions of the weighted (harmonic) Tutte--Grothendieck invariants for graphs and the weighted (harmonic) Tutte invariants for matroids. Finally, we give a remark on the categorification of the harmonic chromatic polynomials of graphs and harmonic Tutte polynomials of matroids.
