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Linear and Multilinear Algebra Volume 59, 2011 - Issue 12
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Original Articles

Inverse of the distance matrix of a block graph

R.B. Bapat Stat-Math Unit, Indian Statistical Institute, Delhi, 7-SJSS Marg, New Delhi 110 016, India
&
Sivaramakrishnan Sivasubramanian Department of Mathematics, Indian Institute of Technology, Mumbai 400 076, IndiaCorrespondence[email protected]
Pages 1393-1397 | Received 28 May 2009, Accepted 19 Jan 2011, Published online: 20 Apr 2011

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Chan Hao, Shuchao Li & Licheng Zhang. (2022) An inverse formula for the distance matrix of a fan graph. Linear and Multilinear Algebra 70:22, pages 7807-7824.
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Joyentanuj Das & Sumit Mohanty. (2022) Distance matrix of weighted cactoid-type digraphs. Linear and Multilinear Algebra 70:20, pages 5392-5422.
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Joyentanuj Das & Sumit Mohanty. (2022) Distance matrix of a multi-block graph: determinant and inverse. Linear and Multilinear Algebra 70:19, pages 3994-4022.
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R. Balaji, R. B. Bapat & Shivani Goel. (2022) On distance matrices of wheel graphs with an odd number of vertices. Linear and Multilinear Algebra 70:17, pages 3370-3401.
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Matjaž Kovše, V A. Rasila & Ambat Vijayakumar. (2020) Steiner Wiener index of block graphs. AKCE International Journal of Graphs and Combinatorics 17:3, pages 833-840.
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Hui Zhou & Qi Ding. (2018) On mixed block graphs. Linear and Multilinear Algebra 66:8, pages 1668-1680.
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Yaoping Hou & Yajing Sun. (2016) Inverse of the distance matrix of a bi-block graph. Linear and Multilinear Algebra 64:8, pages 1509-1517.
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Yilun Shang. (2015) Distance Estrada index of random graphs. Linear and Multilinear Algebra 63:3, pages 466-471.
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I. Jeyaraman & T. Divyadevi. Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property. Linear and Multilinear Algebra 0:0, pages 1-23.
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Articles from other publishers (17)

Aida Abiad, Boris Brimkov, Sakander Hayat, Antonina P. Khramova & Jack H. Koolen. (2024) Extending a conjecture of Graham and Lovász on the distance characteristic polynomial. Linear Algebra and its Applications 693, pages 63-82.
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Joyentanuj Das & Sumit Mohanty. (2023) On squared distance matrix of complete multipartite graphs. Indian Journal of Pure and Applied Mathematics 55:2, pages 517-537.
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Rundan Xing & Zhibin Du. (2023) A q-analogue of distance matrix of block graphs. Advances in Applied Mathematics 149, pages 102548.
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Rundan Xing & Zhibin Du. (2023) The exponential distance matrix of block graphs. Applied Mathematics and Computation 447, pages 127673.
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Ali Azimi, Ravindra B. Bapat & Shivani Goel. (2022) Steiner distance matrix of caterpillar graphs. Special Matrices 10:1, pages 267-284.
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Yu Chen & Yunhua Liao. (2021) Rank of a matrix of block graphs. International Journal of Quantum Chemistry 121:18.
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Matjaž Kovše, V. A. Rasila & Ambat Vijayakumar. (2021) Wiener index and Steiner 3-Wiener index of graphs. Asian-European Journal of Mathematics 14:09, pages 2150165.
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Jie Xue, Ruifang Liu & Jinlong Shu. (2021) On graphs whose third largest distance eigenvalue dose not exceed . Applied Mathematics and Computation 402, pages 126137.
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Shivani Goel. (2021) On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices. Linear Algebra and its Applications 621, pages 86-104.
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R. Balaji, R.B. Bapat & Shivani Goel. (2021) An inverse formula for the distance matrix of a wheel graph with an even number of vertices. Linear Algebra and its Applications 610, pages 274-292.
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Jie Xue, Huiqiu Lin & Jinlong Shu. (2020) On the second largest distance eigenvalue of a block graph. Linear Algebra and its Applications 591, pages 284-298.
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Hui Zhou, Qi Ding & Ruiling Jia. (2019) Inverse of the distance matrix of a weighted cactoid digraph. Applied Mathematics and Computation 362, pages 124552.
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Ezequiel Dratman, Luciano N. Grippo, Martín D. Safe, Celso M. da SilvaJr.Jr. & Renata R. Del-Vecchio. (2019) Computing the Determinant of the Distance Matrix of a Bicyclic Graph. Electronic Notes in Theoretical Computer Science 346, pages 413-423.
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Hui Zhou. (2017) The inverse of the distance matrix of a distance well-defined graph. Linear Algebra and its Applications 517, pages 11-29.
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Yaoping Hou, Aixiang Fang & Yajing Sun. (2015) Inverse of the distance matrix of a cycle–clique graph. Linear Algebra and its Applications 485, pages 33-46.
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Yaoping Hou & Jing Chen. (2015) Inverse of the distance matrix of a cactoid digraph. Linear Algebra and its Applications 475, pages 1-10.
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Paul August Winter, Carol Lynne Jessop & Costas Zachariades. (2015) The Class of -Cliqued Graphs: Eigen-Bi-Balanced Characteristic, Designs, and an Entomological Experiment . International Journal of Combinatorics 2015, pages 1-12.
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