Ranjini, P. S.; Lokesha, V.; Cangül, I. N. On the Zagreb indices of the line graphs of the subdivision graphs. (English) Zbl 1233.05092 Appl. Math. Comput. 218, No. 3, 699-702 (2011). Summary: The aim of this paper is to investigate the Zagreb indices of the line graphs of the tadpole graphs, wheel graphs and ladder graphs using the subdivision concepts. Cited in 1 ReviewCited in 39 Documents MSC: 05C10 Planar graphs; geometric and topological aspects of graph theory 05C07 Vertex degrees Keywords:line graphs; subdivision graphs; tadpole graphs; wheel graphs; ladder graphs PDFBibTeX XMLCite \textit{P. S. Ranjini} et al., Appl. Math. Comput. 218, No. 3, 699--702 (2011; Zbl 1233.05092) Full Text: DOI References: [1] Dobrynin, A. A.; Entringer, R.; Gutman, I., Wiener index of trees: theory and applications, Acta Appl. Math., 66, 211-249 (2001) · Zbl 0982.05044 [2] Douglas, B. W., Introduction to Graph Theory (2001), Prentice Hall [3] Harary, F., Graph Theory (1994), Addison-Wesley · Zbl 0797.05064 [4] Gutman, I.; Lee, Y-N.; Yeh, Y. N.; Lau, Y. L., Some recent results in the theory of Wiener number, Ind. J. Chem., 32, 551-661 (1993) [5] Gutman, I.; Trinajstic, N., Chem. Phys. Lett., 17, 535-538 (1972) [6] Pemmaraju, S.; Skiena, S., Cycles, Stars, and Wheels, Computational Discrete Mathematics, Graph Theory in Mathematica (2003), Cambridge University Press: Cambridge University Press Cambridge, England, 248-249 [7] M.A. Rajan, V. Lokesha, P.S. Ranjini, A Study on Series Edge Graph Transformation, in: Proc. 23rd Joint Congress Iran-South Korea Jangjeon Math. Soc., Iran, 2010.; M.A. Rajan, V. Lokesha, P.S. Ranjini, A Study on Series Edge Graph Transformation, in: Proc. 23rd Joint Congress Iran-South Korea Jangjeon Math. Soc., Iran, 2010. · Zbl 1238.05111 [8] Ranjini, P. S.; Lokesha, V.; Rajan, M. A., On Zagreb indices of the subdivision graphs, Int. J. Math. Sci. Eng. Appl., vol. 4, 221-228 (2010) [9] Ranjini, P. S.; Lokesha, V.; Rajan, M. A., On Zagreb indices of the p-subdivision graphs, J. Oriss. Math. Soc. (2010), appear [10] Nikolic, S.; Kovacevic, G.; Milicevic, A.; Trinajstic, N., The Zagreb indices 30years after, Croat. Chem. Acta, 76, 113-124 (2003) [11] E.W. Weisstein, Tadpole Graph, From Mathworld-A Wolfram Web Resource.; E.W. Weisstein, Tadpole Graph, From Mathworld-A Wolfram Web Resource. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.