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Matrix Product of Graphs

In: Combinatorial Matrix Theory and Generalized Inverses of Matrices

Author

Listed:
  • K. Manjunatha Prasad

    (Manipal University, Department of Statistics)

  • G. Sudhakara

    (Manipal Institute of Technology, Department of Mathematics)

  • H. S. Sujatha

    (Manipal Institute of Technology, Department of Mathematics)

  • M. Vinay

    (Manipal Institute of Technology, Department of Mathematics)

Abstract

In this paper, we characterize the graphs G and H for which the product of the adjacency matrices A(G)A(H) is graphical. We continue to define matrix product of two graphs and study a few properties of the same product. Further, we consider the case of regular graphs to study the graphical property of the product of adjacency matrices.

Suggested Citation

  • K. Manjunatha Prasad & G. Sudhakara & H. S. Sujatha & M. Vinay, 2013. "Matrix Product of Graphs," Springer Books, in: Ravindra B. Bapat & Steve J. Kirkland & K. Manjunatha Prasad & Simo Puntanen (ed.), Combinatorial Matrix Theory and Generalized Inverses of Matrices, edition 127, pages 41-55, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-1053-5_4
    DOI: 10.1007/978-81-322-1053-5_4
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