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Sage code for enumeration of level-2 Coxeter graphs

Authors: Hao Chen;

Sage code for enumeration of level-2 Coxeter graphs

Abstract

This is the public release of the Sage code for enumerating 326 connected level-2 Coxeter graphs with at least 5 vertices. These Coxeter graphs correspond to ball packings as described in this paper (joint work with J.-P. Labbé). The algorithm of the code is described in the same paper. Here, we follow the idea of Maxwell, so the simple roots are the basis of the Lorentz space, and the fundamental weights are the dual basis. The more general case where the simple roots are positively independent will be considered in the future releases.

Keywords

Coxeter group

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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