### Abstract

TIn 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

Original language | English |
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Title of host publication | Combinatorial Matrix Theory and Generalized Inverses of Matrices |

Publisher | Springer India |

Pages | 41-56 |

Number of pages | 16 |

ISBN (Electronic) | 9788132210535 |

ISBN (Print) | 9788132210528 |

DOIs | |

Publication status | Published - 01-01-2013 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Prasad, K. M., Sudhakara, G., Sujatha, H. S., & Vinay, M. (2013). Matrix product of graphs. In

*Combinatorial Matrix Theory and Generalized Inverses of Matrices*(pp. 41-56). Springer India. https://doi.org/10.1007/978-81-322-1053-5_4