ADCSS-Labeling for Some Total Graphs

Dr.Mathew Varkey T K; Sunoj B S

doi:https://doi.org/10.14445/22315373/IJMTT-V38P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 38 | Number 1 | Year 2016 | Article Id. IJMTT-V38P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V38P501

ADCSS-Labeling for Some Total Graphs

Dr.Mathew Varkey T K, Sunoj B S

Citation :

Dr.Mathew Varkey T K, Sunoj B S, "ADCSS-Labeling for Some Total Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 38, no. 1, pp. 1-4, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V38P501

Abstract

A graph labeling is an assignment of integers to the vertices or edges or both subject to certain conditions. In this paper, we introduce the new concept, an absolute difference of cubic and square sum labeling of a graph. The graph for which every edge label is the absolute difference of the sum of the cubes of the end vertices and the sum of the squares of the end vertices. It is also observed that the weights of the edges are found to be multiples of 2. Here we characterize total graphs of paths , cycles, stars, bistars, centipede graphs, comb graphs for adcss labeling.

Keywords

Graph labeling, sum square graph, square sum graphs, cubic graphs, total graphs.

References

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[5] Mathew Varkey T K , Sunoj B S, A Note on Absolute Difference of Cubic and Square Sum Labeling of a Class of Trees, International Journal of Scientific Engineering and Applied Science -Volume- 2, Issue- 8 ,August 2016,Pages 293-296
[6] Mathew Varkey T K , Sunoj B S, An Absolute Difference of Cubic and Square Sum Labeling of Splitting Graphs, International Journal of Computer & Mathematical Sciences-Volume- 5,Issue-8, August 2016, Pages 16-18.
[7] Mathew Varkey T K , Sunoj B S, ADCSS Labeling of Cycle Related Graphs, International Journal of Scientific Research & Education - Volume- 4, Issue- 8 ,August 2016, Pages 5702-5705.
[8] Mathew Varkey T K , Sunoj B S, An Absolute Difference of Cubic and Square Sum Labeling of Certain Class of Graphs , International Journal of Mathematics Trends & Technology,Volume- 36,Number 1 ,August 2016, Pages 77- 79
[9] Mathew Varkey T K , Sunoj B S, Some New Results on Absolute Difference of Cubic and Square Sum Labeling of a Class of Graphs, International Journal of Science & Research,Volume- 5,Issue-8 ,August 2016, Pages 1465- 1467.
[10] Mathew Varkey T K , Sunoj B S, ADCSS – of Product Related Graphs, International Journal of Mathematics And its Applications Volume- 4, Issue- 2B ,August 2016, Pages 145-149.
[11] Mathew Varkey T K, Sunoj B S, ADCSS –Labeling of 2- tuple Graphs of Some Graphs, IOSR Journal of Mathematics, Volume-12, Issue -5, Version -5(Sept:- Octo:2016),Pages 12-15.