Sahal, A. M. and Mathad, V.
(2015)
*Transformation graph Gxy with Xy = + -.*
International Journal of Mathematical Combinatorics, 4.
pp. 25-32.

## Abstract

For any graph G, let V (G) and E(G) denote the vertex set and the edge set of G, respectively. The transformation graph G+- of G is the graph with vertex set V (G) .E(G) and two vertices are adjacent if and only if they correspond to two adjacent edges of G or to a vertex and an edge not incident with it in G. In this paper, we obtain structural properties and eccentricity properties of G+-. We establish characterization of graphs whose G+- are Eulerian. In addition, we obtain middle graphs, total graphs and quasi-total graphs of G, which are isomorphic to G+-.

Item Type: | Article |
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Uncontrolled Keywords: | Eccentricity and Transformation Graph and Smarandachely Transformation Graph and Middle Graph and Total Graph and Quasi-Total Graph |

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Shrirekha N |

Date Deposited: | 20 Jun 2019 06:35 |

Last Modified: | 20 Jun 2019 06:35 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/3480 |

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