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Distance matrices of graphs were introduced by Graham and Pollack in 1971 to study a problem in communications.
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G. Aalipour, A. Abiad, Z. Berikkyzy, J. Cummings, J. De Silva, W. Gao, K. Heysse, L. Hogben, F.H.J. Kenter, J.C.-H. Lin, M. Tait. On the distance spectra of graphs. Linear Algebra Appl
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2011
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H. Lin, W. Yang, H. Zhang, J. Shu. Distance spectral radius of digraphs with given connectivity. Discrete Math
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M. Aouchiche, P. Hansen. Two Laplacians for the distance matrix of a graph. Linear Algebra Appl
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R. Horn and C. Johnson. Matrix Analysis
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H. Lin, J. Shu. The distance spectral radius of digraphs. Discrete Appl. Math
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M. Aouchiche, P. Hansen. Distance spectra of graphs: A survey. Linear Algebra Appl
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J. Azarija. A short note on a short remark of Graham and Lovász. Discrete Math
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K. Heysse. A construction of distance cospectral graphs. Linear Algebra Appl
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D. Lin, G. Wang, J. Meng. Some results on the distance and signless distance Laplacian spectral radius of graphs and digraphs. Appl. Math. and Comput
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G. Aalipour, A. Abiad, Z. Berikkyzy, L. Hogben, F.H.J. Kenter, J.C.-H. Lin, M. Tait. Proof of a conjecture of Graham and Lovasz concerning unimodality of coefficients of the distance characteristic polynomial of a tree. Electron. J. Linear Algebra
2018
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M. Aouchiche, P. Hansen. Cospectrality of graphs with respect to distance matrices. Appl. Math. Comput
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S. Drury, H. Lin. Some graphs determined by their distance spectrum. Electron. J. Linear Algebra
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B. Nica. A Brief Introduction to Spectral Graph Theory
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B. Brimkov, K. Duna, L. Hogben, K. Lorenzen, C. Reinhart, S.-Y. Song, M. Yarrow. Graphs that are cospectral for the distance Laplacian. Electron. J. Linear Algebra
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M. Catral, L. Ciardo, L. Hogben, C. Reinhart. Spectral theory of products of digraphs. Electron. J. Linear Algebra
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C. Reinhart. The normalized distance Laplacian. Special Matrices
2021
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