arXiv Analytics

Sign in

arXiv:math/0011111 [math.CO]AbstractReferencesReviewsResources

Spectral Properties of a Binomial Matrix

Pantelimon Stanica, Rhodes Peele

Published 2000-11-16Version 1

In this paper we study some further properties of the matrix with entries binom{i-1}{n-j}. We find the generating function for each row and column, and we find the eigenvalues and eigenvectors of this matrix. We also find the spectral properties of this matrix modulo 3 and 5.

Comments: 11 pages
Categories: math.CO
Subjects: 05A10, 15A33
Related articles: Most relevant | Search more
arXiv:1101.2970 [math.CO] (Published 2011-01-15)
Curvature, geometry and spectral properties of planar graphs
arXiv:2502.05678 [math.CO] (Published 2025-02-08)
Spectral Properties of the Zeon Combinatorial Laplacian
arXiv:2212.07319 [math.CO] (Published 2022-12-14)
Spectral properties of a class of cographs

Links

Toolbox