
doi: 10.48617/etd.1047
We present here bijections between the regions of certain Type B, C, D Coxeter arrangements and certain configurations of trees. These bijections further allow us to obtain generating functions for the number of regions.
An n-dimensional real hyperplane arrangement is a finite collection of affine hyperplanesin R^n. A given arrangement separates R^n into disjoint regions and it is an important problem
The present work originates from an effort to generalise previously known methods andresults in Type A arrangements due to my advisor Olivier Bernardi in his previous work.
in combinatorics to understand these regions combinatorially, in particular to enumerate the
It should also serve as a starting point in developing a systematic bijective framework for
studying the combinatorics of general Coxeter arrangements.
number of regions associated to an arrangement.
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