An Orthogonal Basis for Functions over a Slice of the Boolean Hypercube
نویسندگان
چکیده
منابع مشابه
An Orthogonal Basis for Functions over a Slice of the Boolean Hypercube
We present a simple, explicit orthogonal basis of eigenvectors for the Johnson and Kneser graphs, based on Young’s orthogonal representation of the symmetric group. Our basis can also be viewed as an orthogonal basis for the vector space of all functions over a slice of the Boolean hypercube (a set of the form {(x1, . . . , xn) ∈ {0, 1}n : ∑ i xi = k}), which refines the eigenspaces of the John...
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We present a simple, explicit orthogonal basis of eigenvectors for the Johnson and Kneser graphs, based on Young’s orthogonal representation of the symmetric group. Our basis can also be viewed as an orthogonal basis for the vector space of all functions over a slice of the Boolean hypercube (a set of the form {(x1, . . . , xn) ∈ {0, 1} : ∑ i xi = k}), which refines the eigenspaces of the Johns...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2016
ISSN: 1077-8926
DOI: 10.37236/4567