Weakly Hadamard diagonalizable graphs
| dc.contributor.author | Adm, Mohammad | |
| dc.contributor.author | Almuhtaseb, Khawla | |
| dc.contributor.author | Fallat, Shaun | |
| dc.contributor.author | Meagher, Karen | |
| dc.contributor.author | Nasserasr, Shahla | |
| dc.contributor.author | Shirazi, Mahsa | |
| dc.contributor.author | Razafimahatratra, A. S. | |
| dc.date.accessioned | 2021-05-04T07:59:21Z | |
| dc.date.accessioned | 2022-05-22T08:54:38Z | |
| dc.date.available | 2021-05-04T07:59:21Z | |
| dc.date.available | 2022-05-22T08:54:38Z | |
| dc.date.issued | 2021-02-01 | |
| dc.description.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 weakly Hadamard matrix of order n for every n>= 1. In this work, graphs for which their Laplacian matrices can be diagonalized by a weakly Hadamard matrix are studied. A number of necessary and sufficient conditions are verified along with identification of numerous families of graphs whose Laplacian matrices can be diagonalized by a weakly Hadamard matrix. | en_US |
| dc.description.sponsorship | The work in this paper was a joint project of the Discrete Mathematics Research Group at the University of Regina, attended by all of the authors. Dr. Fallat's research was supported in part by NSERC Discovery Research Grant, Application No.: RGPIN-2019-03934. Dr. Meagher's research was supported in part by an NSERC Discovery Research Grant, Application No.: RGPIN-03952-2018. Dr. Nasserasr's research was supported in part by an NSERC Discovery Research Grant, Application No.: RGPIN-2019-05275 | en_US |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/8306 | |
| dc.language.iso | en | en_US |
| dc.publisher | Linear Algebra and its Applications Journal | en_US |
| dc.subject | Hadamard matrices | en_US |
| dc.subject | Laplacians | en_US |
| dc.subject | Eigenspaces | en_US |
| dc.subject | Strongly-regular graphs | en_US |
| dc.title | Weakly Hadamard diagonalizable graphs | en_US |
| dc.type | Article | en_US |