Rajendra, P. and Rangarajan, R.
(2014)
*Determinant and pseudo-determinant of tadpolegraphs and its line graphs.*
International Journal of Mathematical Sciences and Engineering Applications, 8 (VI).
pp. 51-60.
ISSN 0973-9424

## Abstract

In the present paper, we apply a standard computational procedure to find coefficients of characteristic polynomial of a graph described in 4. The non-zero coefficient of the least degree term in the characteristic polynomial gives directly the product of non-zero eigenvalues of the graph. As a result, we can compute an important graph invariant, namely, det(G) determinant of a graph G 1 or Pdet(G) pseudo-determinant of a graph G 8. In the present work, we have computed extensively the det(G) or Pdet(G) for all Tadpole graphs Tm,n and their line graphs.

Item Type: | Article |
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Uncontrolled Keywords: | Tadpole Graph and Line Graph of Tadpole Graph and Characteristic Polynomial of a Graph and Determinant and Pseudo-Determinant of a Graph |

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Users 19 not found. |

Date Deposited: | 27 Sep 2019 05:44 |

Last Modified: | 27 Sep 2019 05:44 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/8585 |

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