Results 11 to 20 of about 6,352,710 (356)
A constructive algorithm for realizing a distance matrix [PDF]
European Journal of Operational Research, 2005 The natural metric of a weighted graph is the length of the shortest paths between all pairs of vertices. The investigated problem consists in a representation of a given metric by a graph, such that the total length of the graph is minimized. For that purpose, we give a constructive algorithm based on a technique of reduction, fusion and deletion.
Sacha Varone
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Matrix versions of the Hellinger distance [PDF]
Letters in Mathematical Physics, 2019 On the space of positive definite matrices we consider distance functions of the form $d(A,B)=\left[\tr\mathcal{A}(A,B)-\tr\mathcal{G}(A,B)\right]^{1/2},$ where $\mathcal{A}(A,B)$ is the arithmetic mean and $\mathcal{G}(A,B)$ is one of the different versions of the geometric mean.
Bhatia, Rajendra +2 more
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Determinant of the distance matrix of a tree with matrix weights
Linear Algebra and its Applications, 2005 AbstractLet T be a tree with n vertices and let D be the distance matrix of T. According to a classical result due to Graham and Pollack, the determinant of D is a function of n, but does not depend on T. We allow the edges of T to carry weights, which are square matrices of a fixed order. The distance matrix D of T is then defined in a natural way. We
R.B. Bapat
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The generalized distance matrix
Linear Algebra and its Applications, 2019 Abstract Let D ( G ) and D i a g ( T r ) denote the distance matrix and diagonal matrix of the vertex transmissions of a simple connected graph G, respectively. The distance signless Laplacian matrix of G is defined as D Q ( G ) = D i a g ( T r ) + D ( G ) .
Jing-Xiang He, Gui-Xian Tian, Shu-Yu Cui
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Gait Evaluation Using Procrustes and Euclidean Distance Matrix Analysis
IEEE journal of biomedical and health informatics, 2018 Objective assessment of gait is important in the treatment and rehabilitation of patients with different diseases. In this paper, we propose a gait evaluation system using the Procrustes and Euclidean distance matrix analysis.
Arif Reza Anwary +2 more
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Properties of the distance matrix of a tree [PDF]
Quarterly of Applied Mathematics, 1969 F Boesch
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Realizing the distance matrix of a graph [PDF]
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics, 1966 A. J. Goldman
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A cospectral construction for the generalized distance matrix
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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Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic. [PDF]
Psychometrika, 2017 McArtor DB, Lubke GH, Bergeman CS.
europepmc +2 more sources
A note on the tree realizability of a distance matrix
Journal of Combinatorial Theory, 1969 J. M. S. Simões Pereira
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