@article{Barik2011OnHD,
author={Sasmita Barik and Shaun M. Fallat and Steve Kirkland},
journal={Linear Algebra and its Applications},
year={2011},
volume={435},
pages={1885-1902}
}
• Published 2011
• Mathematics
• Linear Algebra and its Applications
Of interest here is a characterization of the undirected graphs G such that the Laplacian matrix associated with G can be diagonalized by some Hadamard matrix. Many interesting and fundamental properties are presented for such graphs along with a partial characterization of the cographs that have this property.
Abstract A matrix is called weakly Hadamard if its entries are from { 0 , − 1 , 1 } and its non-consecutive columns (with some ordering) are orthogonal. Unlike Hadamard matrices, there is a weaklyExpand
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The authors of [1] have used spectral graph theory to define a Fourier transform on finite graphs. With this definition, one can use elementary properties of classical time-frequency analysis toExpand
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