The file wgraphs.mag contains a collection of magma programs that implement calculation of W-graphs for finite Coxeter groups and their Hecke algebras, using ideas from the papers "W-graph ideals" by Robert B. Howlett and Van Minh Nguyen, and "W-graph ideals II" by Van Minh Nguyen. Also included is a program for inducing W-graphs, as described by Howlett and Yunchuan Yin "Inducing W-graphs".
The file wg_readme.txt contains a brief description of the various magma functions defined in wgraphs.mag.