| | | |

## Vertex magic total labeling of middle and total graph of cycle

#### R. Vimal Kumar [1] , D. Vijayalakshmi [2]

##### 22 125

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.
Primary Language en Articles Orcid: 0000-0002-6035-2281Author: R. Vimal Kumar Orcid: 0000-0002-8925-1134Author: D. Vijayalakshmi Publication Date: July 31, 2019
 Bibtex @research article { cfsuasmas526518, journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, issn = {1303-5991}, eissn = {2618-6470}, address = {Ankara University}, 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 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 - https://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 (July 2019): 1335-1340. https://doi.org/10.31801/cfsuasmas.526518 AMA Kumar R , Vijayalakshmi D . Vertex magic total labeling of middle and total graph of cycle. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.. 2019; 68(2): 1335-1340. Vancouver 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. 2019; 68(2): 1340-1335.