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Vertex magic total labeling of middle and total graph of cycle

Yıl 2019, Cilt: 68 Sayı: 2, 1335 - 1340, 01.08.2019
https://doi.org/10.31801/cfsuasmas.526518

Öz

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.

Kaynakça

  • 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.
Yıl 2019, Cilt: 68 Sayı: 2, 1335 - 1340, 01.08.2019
https://doi.org/10.31801/cfsuasmas.526518

Öz

Kaynakça

  • 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.
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

R. Vimal Kumar 0000-0002-6035-2281

D. Vijayalakshmi Bu kişi benim 0000-0002-8925-1134

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 5 Şubat 2018
Kabul Tarihi 25 Haziran 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

APA Kumar, R. V., & 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. https://doi.org/10.31801/cfsuasmas.526518
AMA Kumar RV, Vijayalakshmi D. Vertex magic total labeling of middle and total graph of cycle. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2019;68(2):1335-1340. doi:10.31801/cfsuasmas.526518
Chicago Kumar, R. Vimal, ve D. Vijayalakshmi. “Vertex Magic Total Labeling of Middle and Total Graph of Cycle”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 2 (Ağustos 2019): 1335-40. https://doi.org/10.31801/cfsuasmas.526518.
EndNote Kumar RV, Vijayalakshmi D (01 Ağustos 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.
IEEE R. V. Kumar ve D. Vijayalakshmi, “Vertex magic total labeling of middle and total graph of cycle”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 1335–1340, 2019, doi: 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 (Ağustos 2019), 1335-1340. https://doi.org/10.31801/cfsuasmas.526518.
JAMA Kumar RV, Vijayalakshmi D. Vertex magic total labeling of middle and total graph of cycle. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1335–1340.
MLA Kumar, R. Vimal ve D. Vijayalakshmi. “Vertex Magic Total Labeling of Middle and Total Graph of Cycle”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 2, 2019, ss. 1335-40, doi:10.31801/cfsuasmas.526518.
Vancouver Kumar RV, 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):1335-40.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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