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Entropy measures of distance matrix [PDF]
Discrete Mathematics Letters, 2022 Bonchev and Trinajstic defined two distance based entropy measures to measure the molecular branching of molecular graphs in 1977 [Information theory, distance matrix, and molecular branching, J. Chem. Phys., 38 (1977), 4517–4533]. In this paper we use these entropy measures which are based on distance matrices of graphs.
Bünyamin Şahin, Abdulgani Şahin
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A cospectral construction for the generalized distance matrix [PDF]
Special MatricesThe generalized distance matrix of a graph is a matrix in which the (i,j)\left(i,j)th entry is a function, ff, of the distance between vertex ii and vertex jj.
Friesen Ori +5 more
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Quantitative analysis of visual codewords of a protein distance matrix. [PDF]
PLoS One, 2022 Pražnikar J, Attygalle NT.
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Distance to the nearest stable Metzler matrix [PDF]
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017 This paper considers the non-convex problem of finding the nearest Metzler matrix to a given possibly unstable matrix. Linear systems whose state vector evolves according to a Metzler matrix have many desirable properties in analysis and control with regard to scalability.
James Anderson
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Squared distance matrix of a weighted tree
Electronic Journal of Graph Theory and Applications, 2019 Let T be a tree with vertex set {1, …, n} such that each edge is assigned a nonzero weight. The squared distance matrix of T, denoted by Δ, is the n × n matrix with (i, j)-element d(i, j)2, where d(i, j) is the sum of the weights of the edges on the ...
Ravindra B. Bapat
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On spectral radius of the generalized distance matrix of a graph [PDF]
Discrete Mathematics Letters, 2021 Shariefuddin Pirzada
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A Distance-Preserving Matrix Sketch
Journal of Computational and Graphical Statistics, 2022 38 pages, 13 ...
Wilkinson, Leland, Luo, Hengrui
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Multi-distance support matrix machines [PDF]
Pattern Recognition Letters, 2019 Real-world data such as digital images, MRI scans and electroencephalography signals are naturally represented as matrices with structural information. Most existing classifiers aim to capture these structures by regularizing the regression matrix to be low-rank or sparse.
Yunfei Ye, Dong Han
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Squared distance matrices of trees with matrix weights
AKCE International Journal of Graphs and Combinatorics, 2023 Let T be a tree on n vertices whose edge weights are positive definite matrices of order s. The squared distance matrix of T, denoted by Δ, is the ns × ns block matrix with [Formula: see text], where d(i, j) is the sum of the weights of the edges in the ...
Iswar Mahato, M. Rajesh Kannan
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Analysis of amino acids network based on transition and transversion mutation of codons [PDF]
Network Biology, 2021 In this paper, we have developed a network of 20 amino acids based on a distance matrix of amino acids. This distance matrix is obtained by considering the transition and transversion mutation of codons.
Tazid Ali, Chandra Borah
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