A vertex magic total labeling is a bijection from the union of the vertex set and edge set to the consecutive integers 1,2,3,....,v+e with the property that for every u in the vertex set, the sum of the label of u and the label of the edges incident with u is equal to k, for some constant k. In this paper, we establish the vertex magic labeling of some classes of graphs and provide some open problems related to it.

Graph labeling, middle graph, total graph, vertex magic graph

- Bollobas, Bela, Graph theory: An introductory course, Springer-Verlag, New York, NY, 1979.
- Cunningham, Daisy, Vertex-Magic, Electronic Journal of Undergraduate Mathematics, Furman University, (2004), Volume 9, 1-20.
- Finkbeiner, D. and Lindstrom, W. A primer of Discrete Mathematics, W.H.Freeman and Co., New York, NY, 1987.
- Locke, Stephen C., Graph Theory . Online Posting. http://math.fau.edu/lockemgraphthe.htm.
- Wallis, W.D., Magic Graphs, Birkhauser, New York, NY, 2001.

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Bibtex | ```
@araştırma makalesi { cfsuasmas526518,
journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics},
issn = {1303-5991},
eissn = {2618-6470},
address = {Ankara Üniversitesi},
year = {2019},
volume = {68},
pages = {1335 - 1340},
doi = {10.31801/cfsuasmas.526518},
title = {Vertex magic total labeling of middle and total graph of cycle},
key = {cite},
author = {Kumar, R. Vimal and Vijayalakshmi, D.}
}
``` |

APA | Kumar, R , Vijayalakshmi, D . (2019). Vertex magic total labeling of middle and total graph of cycle. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68 (2), 1335-1340. DOI: 10.31801/cfsuasmas.526518 |

MLA | Kumar, R , Vijayalakshmi, D . "Vertex magic total labeling of middle and total graph of cycle". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2019): 1335-1340 <http://dergipark.gov.tr/cfsuasmas/issue/42777/526518> |

Chicago | Kumar, R , Vijayalakshmi, D . "Vertex magic total labeling of middle and total graph of cycle". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2019): 1335-1340 |

RIS | TY - JOUR T1 - Vertex magic total labeling of middle and total graph of cycle AU - R. Vimal Kumar , D. Vijayalakshmi Y1 - 2019 PY - 2019 N1 - doi: 10.31801/cfsuasmas.526518 DO - 10.31801/cfsuasmas.526518 T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 1335 EP - 1340 VL - 68 IS - 2 SN - 1303-5991-2618-6470 M3 - doi: 10.31801/cfsuasmas.526518 UR - http://dx.doi.org/10.31801/cfsuasmas.526518 Y2 - 2018 ER - |

EndNote | %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vertex magic total labeling of middle and total graph of cycle %A R. Vimal Kumar , D. Vijayalakshmi %T Vertex magic total labeling of middle and total graph of cycle %D 2019 %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %P 1303-5991-2618-6470 %V 68 %N 2 %R doi: 10.31801/cfsuasmas.526518 %U 10.31801/cfsuasmas.526518 |

ISNAD | Kumar, R. Vimal , Vijayalakshmi, D. . "Vertex magic total labeling of middle and total graph of cycle". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 / 2 (Temmuz 2019): 1335-1340. http://dx.doi.org/10.31801/cfsuasmas.526518 |