B-Symmetric Chromatic Function

This is a site meant to let you easily compute the B-Symmetric Chromatic Function. If you're unfamiliar with the B-Symmetric Chromatic Function, perhaps try looking at Dr. Sergei Chmutov's Presentation or Rushil Raghavan's Presentation to learn more if you're interested.

Currently, the built in graphs are:

create_path(number_of_vertices, signs) - Creates a path graph
create_star(number_of_vertices, signs) - Creates a star graph
create_cycle(number_of_vertices, signs) - Creates a cycle graph

I'll probably add more built in functions, or a compendium of examples that we can easily modify.

I've also added some utilities for working with signed posets as root systems. Here is a short list of some of the available things:

list_acyclic_orientations(signedGraph) - Returns a set of SignedPosets with the acyclic orientations
SignedPoset(number_of_vertices, roots [as vectors]) - Constructor for a signed SignedPoset
SignedPoset.get_jordan_holder_set() - Computes the Jordan-Holder set of the poset as a list of Weyl Group elements
SignedPoset.plot_digraph() - Plots the SignedPoset

Sincerely,
Torey Hilbert

Hello!

To begin, run the load script.