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Research Article

Distance matrix of a multi-block graph: determinant and inverse

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Pages 3994-4022 | Received 26 Sep 2019, Accepted 03 Dec 2020, Published online: 18 Dec 2020

References

  • Bapat RB. Graphs and matrices. 2nd ed. New Delhi: Hindustan Book Agency; 2014.
  • Graham RL, Pollak HO. On the addressing problem for loop switching. Bell Syst Tech J. 1971;50:2495–2519.
  • Graham RL, Lovász L. Distance matrix polynomials of trees. Adv Math. 1978;29(1):60–88.
  • Bapat RB, Sivasubramanian S. Inverse of the distance matrix of a block graph. Linear Multilinear Algebra. 2011;59(12):1393–1397.
  • Hou Y, Sun Y. Inverse of the distance matrix of a bi-block graph. Linear Multilinear Algebra. 2016;64(8):1509–1517.
  • Zhou H. The inverse of the distance matrix of a distance well-defined graph. Linear Algebra Appl. 2017;517:11–29.
  • Hou Y, Chen J. Inverse of the distance matrix of a cactoid digraph. Linear Algebra Appl. 2015;475:1–10.
  • Hou Y, Fang A, Sun Y. Inverse of the distance matrix of a cycle-clique graph. Linear Algebra Appl. 2015;485:33–46.
  • Zhou H, Ding Q, Jia R. Inverse of the distance matrix of a weighted cactoid digraph. Appl Math Comput. 2019;362:124552.
  • Graham RL, Hoffman AJ, Hosoya H. On the distance matrix of a directed graph. J Graph Theor. 1977;1:85–88.
  • Zhang F. The Schur complement and its applications. New York (NY): Springer-Verlag; 2005. (Numerical methods and algorithms; 4).
  • Zhang F. Matrix theory: basic results and techniques. New York (NY): Universitext, Springer Verlag; 1999.
  • Berman A, Shaked-Monderer N. Completely positive matrices. River Edge (NJ): World Scientific Publishing; 2003.
  • Das J, Jayaraman S, Mohanty S. Distance matrix of a class of completely positive graphs: determinant and inverse. Spec Matrices. 2020;8:160–171.

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