Yıl 2019, Cilt 68, Sayı 2, Sayfalar 1341 - 1349 2019-07-01
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## Degree based topological invariants of splitting graph

#### G Mohanappriya [1] , D. Vijayalakshmi [2]

##### 17 35

Topological invariants are the graph theoretical tools to the theoretical chemists, that correlates the molecular structure with several chemical reactivity, physical properties or biological activity numerically. A function having a set of networks(graph, molecular structure) as its domain and a set of real numbers as its range is referred as a topological invariant(index). Topological invariants are numerical quantity of a network that are invariant under graph isomorphism. Topological invariants such as Zagreb index, Randić index and multiplicative Zagreb indices are used to predict the bioactiviy of chemical compounds in QSAR/QSPR study. In this paper, we compute the general expression of certain degree based topological invariants such as second Zagreb index, F-index, Hyper-Zagreb index, Symmetric division degree index, irregularity of Splitting graph. And also we obtain upper bound for first and second multiplicative Zagreb indices of Splitting graph of a graph H, (S′(H)).
Topological invariant, degree based invariant, splitting graph.
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Birincil Dil en Makaleler Orcid: 0000-0001-8408-6638Yazar: G Mohanappriya Yazar: D. Vijayalakshmi
 Bibtex @araştırma makalesi { cfsuasmas526546, journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, issn = {1303-5991}, eissn = {2618-6470}, address = {Ankara Üniversitesi}, year = {2019}, volume = {68}, pages = {1341 - 1349}, doi = {10.31801/cfsuasmas.526546}, title = {Degree based topological invariants of splitting graph}, key = {cite}, author = {Mohanappriya, G and Vijayalakshmi, D.} } APA Mohanappriya, G , Vijayalakshmi, D . (2019). Degree based topological invariants of splitting graph. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68 (2), 1341-1349. DOI: 10.31801/cfsuasmas.526546 MLA Mohanappriya, G , Vijayalakshmi, D . "Degree based topological invariants of splitting graph". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2019): 1341-1349 Chicago Mohanappriya, G , Vijayalakshmi, D . "Degree based topological invariants of splitting graph". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2019): 1341-1349 RIS TY - JOUR T1 - Degree based topological invariants of splitting graph AU - G Mohanappriya , D. Vijayalakshmi Y1 - 2019 PY - 2019 N1 - doi: 10.31801/cfsuasmas.526546 DO - 10.31801/cfsuasmas.526546 T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 1341 EP - 1349 VL - 68 IS - 2 SN - 1303-5991-2618-6470 M3 - doi: 10.31801/cfsuasmas.526546 UR - http://dx.doi.org/10.31801/cfsuasmas.526546 Y2 - 2018 ER - EndNote %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Degree based topological invariants of splitting graph %A G Mohanappriya , D. Vijayalakshmi %T Degree based topological invariants of splitting graph %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.526546 %U 10.31801/cfsuasmas.526546 ISNAD Mohanappriya, G , Vijayalakshmi, D. . "Degree based topological invariants of splitting graph". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 / 2 (Temmuz 2019): 1341-1349. http://dx.doi.org/10.31801/cfsuasmas.526546