Gupta, C. K.; Lokesha, V.; Shwetha, B. S.; Ranjini, P. S. Graph operations on the symmetric division deg index of graphs. (English) Zbl 1346.05245 Palest. J. Math. 6, No. 1, 280-286 (2017). Summary: The symmetric division deg index of a connected graph \(G\), is defined as \(\mathrm{SDD}(G)= \sum_{uv \in E(G)}\frac{d_u}{d_v}+\frac{d_v}{d_u}\) where \(d_v\) is the degree of a vertex \(v\) in \(G\). In this paper, we concentrated on the graph operations like lexicographic product, symmetric difference and corona product of graphs related to the symmetric division deg index. Cited in 16 Documents MSC: 05C76 Graph operations (line graphs, products, etc.) 05C07 Vertex degrees 05C35 Extremal problems in graph theory 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 05C20 Directed graphs (digraphs), tournaments 05C05 Trees Keywords:graph operations; symmetric division deg index; maximum degree; nilpotent matrix group; Cayley graph PDFBibTeX XMLCite \textit{C. K. Gupta} et al., Palest. J. Math. 6, No. 1, 280--286 (2017; Zbl 1346.05245) Full Text: Link