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Centroidal mean labeling of graphs-II

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In this paper the Centroidal mean labeling of graphs such as triangu- lar snake Tn K1, double triangular snake Dn(Tn) K1, TLn K1, the graph obtained by attaching pendent edges to both sides of each vertex of a path Pn; attaching paths of lengths 0; 1; 2; 3; : : : ; n - 1 on both sides of each vertex of Pn; D2(Pn); Middle graph of path Pn; Total graph of path Pn; Splitting graph of path Pn and Duplicating each vertex by an edge in path Pn are discussed.

Abstract

In this paper the Centroidal mean labeling of graphs such as triangu- lar snake Tn K1, double triangular snake Dn(Tn) K1, TLn K1, the graph obtained by attaching pendent edges to both sides of each vertex of a path Pn; attaching paths of lengths 0; 1; 2; 3; : : : ; n - 1 on both sides of each vertex of Pn; D2(Pn); Middle graph of path Pn; Total graph of path Pn; Splitting graph of path Pn and Duplicating each vertex by an edge in path Pn are discussed.

참고문헌 (14)

  1. P. S. Bullen, "Handbook of means and their inequalities" (2003), Kluwer Acad. Publ
  2. J.A. Gallian, "A Dynamic Survey of Graph Labeling", Electronic Journal of combinatorics (2013)
  3. Harary. F, "Graph Theory" (1988), Narosa publishing House
  4. C. Jayasekaran, "Harmonic mean labeling of disconnected graphs", Journal of Discrete Mathematical Sciences and Cryptography, 19(1), pp.1~12 (2016)
  5. K. M. Nagaraja, "α-centroidal mean and its dual", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(2), pp.163~170 (2012), 장전수학회[DOI]
  6. K. M. Nagaraja, "Generaliation of alpha centroidal mean and its dual", Iranian journal of Mathematical sciences and informatics, 8(2), pp.39~47 (2013)
  7. K. M. Nagaraja, "Different kinds of Schur convexities of power type alpha centroidal mean", Advances and applications in Mathematical sciences, 13(2), pp.91~109 (2014)
  8. R Sampath Kumar, "Contra Harmonic mean labeling of graph", Mapana J Sci, 12(3), pp.23~29 (2013)
  9. Sampath kumar. R, "Heron mean labeling of graph", Inter-national Journal of Recent Scientific Research, 8(9), pp.19808~19811 (2017)
  10. Sampath kumar. R, "Centroidal mean labeling of graphs", International Journal of Research in Advent Technology, 7(1), pp.183~189 (2019)
  11. Sandeep Kumar, "Power type alpha centroidal mean and its dual", Gen. Math. Notes, 25(1), pp.33~42 (2014)
  12. S. Somasundaram, "Geometric mean labeling of graphs", Bulletin of Pure and Applied Sciences, 30(2), pp.153~160 (2011)
  13. S. Somasundaram, "Mean Labeling of graphs", National Academy of Science Letters, 26, pp.210~213 (2003)
  14. S. S. Sandhya, "Some more results on harmonic mean graphs", Journal of Mathematics Research, 4(1), pp.21~29 (2012)

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