Geodesic
The complete \(\mathbf{cd}\)-index of dihedral and universal Coxeter groups
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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We present a description, including a characterization, of the complete cd-index of dihedral intervals. Furthermore, we describe a method to compute the complete cd-index of intervals in universal Coxeter groups. To obtain such descriptions, we consider Bruhat intervals for which Björner and Wachs's CL-labeling can be extended to paths of different lengths in the Bruhat graph. While such an extension cannot be defined for all Bruhat intervals, it can be in dihedral and universal Coxeter systems.
DOI : 10.37236/661
Classification : 05E99, 20F55
Mots-clés : dihedral and universal Coxeter groups, the complete cd-index, Bruhat intervals, Bruhat graph 
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     author = {Sa\'ul A. Blanco},
     title = {The complete \(\mathbf{cd}\)-index of dihedral and universal {Coxeter} groups},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/661},
     zbl = {1235.05165},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/661/}
}
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Saúl A. Blanco. The complete \(\mathbf{cd}\)-index of dihedral and universal Coxeter groups. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/661

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