Ranjini, P. S.; Lokesha, V.; Bindusree, M.; Phani Raju, M. New bounds on Zagreb indices and the Zagreb co-indices. (English) Zbl 1413.05062 Bol. Soc. Parana. Mat. (3) 31, No. 1, 51-55 (2013). Summary: In this short note, we studied the first, second Zagreb indices and the Zagreb co-indices. Also, established the connections of bounds to the above sighted indices. Cited in 1 ReviewCited in 6 Documents MSC: 05C07 Vertex degrees 92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.) Keywords:simple graph; Zagreb index; Zagreb coindex; maximal degree PDFBibTeX XMLCite \textit{P. S. Ranjini} et al., Bol. Soc. Parana. Mat. (3) 31, No. 1, 51--55 (2013; Zbl 1413.05062) Full Text: Link References: [1] J.A. Bondy, U.S.R. Murty, Graph Theory with Applications, Macmillan Press, New York, 1976. · Zbl 1226.05083 [2] A. R. Bindusree, V. Lokesha, P. S. Ranjini and A. Bayad Relation connecting Zagreb coindices on Three graph Operators, (communicated). · Zbl 1288.05108 [3] G. Caporossi, P. Hansen and D. Vukiˇcevi´c, Comparing Zagreb Indices of Cyclic Graphs, MATCH. Commun. Math. Comput. Chem. 63 (2010), pp. 441 − 451. · Zbl 1299.05046 [4] K. C. Das, I. Gutman and B. Zhou, New upper bounds on Zagreb indices, J. Math. Chem. 46 (2009), pp. 514 − 521. · Zbl 1200.92048 [5] I. Gutman and N. Trinajstic, Graph theory and molecular orbitals. Total14-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17 (1972), pp. 535 − 538. [6] I. Gutman and K.C. Das, The first Zagreb indices 30 years after, MATCH Commun. Math. Comput. Chem. 50 (2004), pp. 83 − 92. · Zbl 1053.05115 [7] M. Liu and B. Liu, New sharp upper bounds for the first Zagreb index, MATCH Commun. Math. Comput. Chem. 62 (2009), pp. 689 − 698. · Zbl 1224.05117 [8] S. Nikoli´c, G. Kovaˇcevi´c, A. Mili´cevi´cand N. Trinajsti´c, The Zagrib indices 30 years after, Croat. Chem. Acta 76 (2003), pp. 113 − 124. [9] P. S. Ranjini and V. Lokesha, The Smarandache-Zagreb Indices on the Three Graph Operators, Int. J. Math. Combin, Vol. 3(2010), China, pp. 1 − 10. · Zbl 1238.05111 [10] P. S. Ranjini, V. Lokesha and M. A. Rajan, On the Zagreb Indices of the Line Graphs of the Subdivision Graphs, Applied Mathematics and Computation, (2011) doi:10.1016/j.amc.2011.03.125. · Zbl 1233.05092 [11] N. Trinajsti´c, Chemical Graph Theory, CRC Press, Boca Raton (Fl), (1983). [12] Weigen Yan, Bo-Yin Yang and Yeong 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.