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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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Product distance matrix of a graph and squared distance matrix of a tree [PDF]
Applicable Analysis and Discrete Mathematics, 2013 Let G be a strongly connected, weighted directed graph. We define a product distance ?(i,j) for pairs i,j of vertices and form the corresponding product distance matrix. We obtain a formula for the determinant and the inverse of the product distance matrix.
BAPAT, RB, SIVASUBRAMANIAN, S
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Every nonsingular spherical Euclidean distance matrix is a resistance distance matrix
Linear Algebra and its Applications, 2023 Peer ...
Estrada, Ernesto
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Factoring distance matrix polynomials
Discrete Mathematics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Collins, Karen L., Karen L. Collins
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A q-analogue of the distance matrix of a tree
Linear Algebra and its Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bapat, R.B., Lal, A.K., Pati, Sukanta
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ON DETERMINING THE DISTANCE SPECTRUM OF A CLASS OF DISTANCE INTEGRAL GRAPHS [PDF]
Journal of Algebraic Systems, 2023 The distance eigenvalues of a connected graph $G$ are the eigenvalues of its distance matrix$D(G)$. A graph is called distance integral if all of itsdistance eigenvalues are integers.Let $n$ and $k$ be integers with $n>2k, k\geq1$.
Seyed M. Mirafzal, R. Kogani
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A Distance-Preserving Matrix Sketch
Journal of Computational and Graphical Statistics, 2022 38 pages, 13 ...
Leland Wilkinson, Hengrui Luo
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On the rank of the distance matrix of graphs
Applied Mathematics and Computation, 2022 17 pages, 2 ...
Ezequiel Dratman +3 more
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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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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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