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Mapping $\Delta(2,2,2)\mapsto \Delta(4,4,2)$... [closed]
Looking at the images below, you recognize that the adajency matrix of the graph $A_G$ splits up into three different color submatrices, with $A_G=A_r+A_b+A_d$ (where $d$ is dark, damn...).
It's ...
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3
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No cycles in finite coxeter graphs
Is there an elementary (no consideration of root systems involved) proof of the fact that the graph of an finite coxeter system doesn't entail any cycle? I got as far as this: If there were any cycle $...
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