S
Steve Kirkland
Researcher at University of Manitoba
Publications - 132
Citations - 2060
Steve Kirkland is an academic researcher from University of Manitoba. The author has contributed to research in topics: Laplacian matrix & Matrix (mathematics). The author has an hindex of 23, co-authored 124 publications receiving 1823 citations. Previous affiliations of Steve Kirkland include Queen's University & Maynooth University.
Papers
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On distance matrices and Laplacians
TL;DR: In this article, the determinant of the distance matrix of a weighted tree for a perturbation of D−1 was shown to be an entry-wise positive matrix, and the inertia of the tree was investigated.
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On the normalized Laplacian energy and general Randić index R-1 of graphs
TL;DR: This paper considers the energy of a simple graph with respect to its normalized Laplacian eigenvalues, which is called the L-energy, and provides upper and lower bounds for L- energy based on its general Randic index R-1(G).
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Extremizing algebraic connectivity subject to graph theoretic constraints
Shaun M. Fallat,Steve Kirkland +1 more
TL;DR: In this paper, the algebraic connectivity of a weighted connected graph is investigated when the graph is perturbed by removing one or more connected components at a vertex and replacing this collection by a single connected component.
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Characteristic vertices of weighted trees via perron values
TL;DR: In this article, a weighted tree T with algebraic connectivity and a characteristic vertex v and its associated eigenvectors can be described in terms of the Perron value and vector of a nonnegative matrix which can be computed from the branches of T at v, and the machinery of Perron-Frobenius theory can then be used to characterize Type I and Type II trees.
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Skew-adjacency matrices of graphs
Michael S. Cavers,Sebastian M. Cioabă,Shaun M. Fallat,David A. Gregory,Willem H. Haemers,Steve Kirkland,Judith J. McDonald,Michael J. Tsatsomeros +7 more
TL;DR: In this paper, the spectra of the skew-adjacency matrices of a graph are considered as a possible way to distinguish adjacency cospectral graphs, and an analogue of the Perron-Frobenius theorem is proposed.