STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS

Volume: 9 Number: 4 December 1, 2019
  • P. Kandan
EN

STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS

Abstract

In this paper, we establish one of the recent topological indices called the first status connectivity index S1 G = P uv2E G [G u + G v ] and second status connectivity index S2 G = P uv2E G [G u G v ] of Cartesian product of two simple graphs are determined. Also these indices are computed for nanotube, nanotorus, grid and cartesian product of complete graphs.

Keywords

References

  1. [1] Adiga, C. and Malpashree, R., (2016), The degree status connectivity index of graphs and its multiplicative version, South Asian J. of Math., 6(6), pp. 288 - 299.
  2. [2] Ashrafi, A.R. and Ghorbani, M., (2010), Eccentric connectivity index of fullerenes In: I. Gutman, B. Furtula,(eds.) Novel Molecular Structure Descriptors - Theory and Applications II, Uni. Kragujevac, Kragujevac, pp. 183 - 192.
  3. [3] Ashrafi, A.R., Saheli, M. and Ghorbani, M., (2011), The eccentric connectivity index of nanotubes and nanotori, J. Comput. Appl. Math., 235, pp. 4561 - 4566.
  4. [4] Balaban, A.T., (1976), Chemical Applications of Graph Theory, Academic Press, London.
  5. [5] Das, K.C., Xu, K. and Nam, J., (2015), Zagreb indices of graphs, Front. Math. China, 10, pp. 567 - 582.
  6. [6] Das, K.C., Lee, D. and Graovac, A., (2013), Some properties of the Zagreb eccentricity indices, Ars Math. Contemp., 6, pp. 117 - 125.
  7. [7] Devillers, J. and Balaban, A.T., (1999), Topological indices and related descriptors in QSAR and QSPR, Gordon and Breach, Amsterdam, The Netherlands.
  8. [8] Furtula, B., Gutman, I. and Dehmer, M., (2013), On structure sensitivity of degree based topological indices, Appl. Math. Comput., 219, pp. 8973 - 8978.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

P. Kandan This is me

Publication Date

December 1, 2019

Submission Date

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Acceptance Date

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Published in Issue

Year 2019 Volume: 9 Number: 4

APA
Kandan, P. (2019). STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS. TWMS Journal of Applied and Engineering Mathematics, 9(4), 747-754. https://izlik.org/JA84WL79PG
AMA
1.Kandan P. STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS. JAEM. 2019;9(4):747-754. https://izlik.org/JA84WL79PG
Chicago
Kandan, P. 2019. “STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS”. TWMS Journal of Applied and Engineering Mathematics 9 (4): 747-54. https://izlik.org/JA84WL79PG.
EndNote
Kandan P (December 1, 2019) STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS. TWMS Journal of Applied and Engineering Mathematics 9 4 747–754.
IEEE
[1]P. Kandan, “STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS”, JAEM, vol. 9, no. 4, pp. 747–754, Dec. 2019, [Online]. Available: https://izlik.org/JA84WL79PG
ISNAD
Kandan, P. “STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS”. TWMS Journal of Applied and Engineering Mathematics 9/4 (December 1, 2019): 747-754. https://izlik.org/JA84WL79PG.
JAMA
1.Kandan P. STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS. JAEM. 2019;9:747–754.
MLA
Kandan, P. “STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 4, Dec. 2019, pp. 747-54, https://izlik.org/JA84WL79PG.
Vancouver
1.P. Kandan. STATUS CONNECTIVITY INDICES OF CARTESIAN PRODUCT OF GRAPHS. JAEM [Internet]. 2019 Dec. 1;9(4):747-54. Available from: https://izlik.org/JA84WL79PG