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math.CO2014
Distance Regular Colorings of -Dimensional Rectangular Grid
Sergey Avgustinovich, Anastasia Vasil'eva
We study the infinite graph of -dimensional rectangular grid that doesn't appear distance regular and the distance regular colorings of this graph, which are defined as the dist…
math.CO2014
Local distributions for eigenfunctions and for perfect colorings of q-ary hypercube
Anastasia Vasil'eva
Under study are the eigenfunctions and perfect colorings of the graph of -dimensional -ary Hamming space. We obtain the interdependence of local distributions of an eigenfunc…
math.CO2014
Reconstruction of Eigenfunctions of q-ary n-dimensional Hypercube
Anastasia Vasil'eva
Under study are eigenfunctions of -ary -dimensional hypercube. Given all values of an eigenfunction in the sphere we develop methods to reconstruct the function in full or in…