𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Chromatic Symmetric Function in Noncommuting Variables

✍ Scribed by David D. Gebhard; Bruce E. Sagan

Book ID
110299102
Publisher
Springer
Year
2001
Tongue
English
Weight
176 KB
Volume
13
Category
Article
ISSN
0925-9899

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A Symmetric Function Generalization of t
A Symmetric Function Generalization of the Chromatic Polynomial of a Graph
✍ R.P. Stanley πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 932 KB

For a finite graph \(G\) with \(d\) vertices we define a homogeneous symmetric function \(X_{4 ;}\) of degree \(d\) in the variables \(x_{1}, x_{2}, \ldots\). If we set \(x_{1}=\cdots=x_{n}=1\) and all other \(x_{t}=0\), then we obtain \(Z_{1}(n)\), the chromatic polynomial of (; evaluated at \(n\).