Deformations of Coxeter Hyperplane Arrangements
Copyright policy )Deformations of Coxeter Hyperplane Arrangements
We investigate several hyperplane arrangements that can be viewed as deformations of Coxeter arrangements. In particular, we prove a conjecture of Linial and Stanley that the number of regions of the arrangement x_i - x_j = 1, 1 \leq i
33 pages
- Massachusetts Institute of Technology Dept. of Economics United States
- Massachusetts Institute of Technology United States
- Massachusetts instute of technology EAPS United States
alternating trees, Exact enumeration problems, generating functions, Trees, Theoretical Computer Science, FOS: Mathematics, truncated affine arrangements, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, hyperplane arrangement, trees, Asymptotic enumeration, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), 52B, 05A, Shi arrangement, Coxeter arrangement, Computational Theory and Mathematics, hyperplane arrangements, generic arrangement, Linial arrangement, characteristic polynomial, Combinatorics (math.CO), Catalan arrangement, enumeration problem of regions
alternating trees, Exact enumeration problems, generating functions, Trees, Theoretical Computer Science, FOS: Mathematics, truncated affine arrangements, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, hyperplane arrangement, trees, Asymptotic enumeration, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), 52B, 05A, Shi arrangement, Coxeter arrangement, Computational Theory and Mathematics, hyperplane arrangements, generic arrangement, Linial arrangement, characteristic polynomial, Combinatorics (math.CO), Catalan arrangement, enumeration problem of regions
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