Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68228220171201On exponential domination and graph operations243250276710.22075/ijnaa.2017.3056.1494ENBetul AtayDepartment of Computer and Inst. Tech. Edu., Faculty of Education, Agri Ibrahim Cecen University, Agri, TurkeyAysun AytacDepartment of Mathematics, Faculty of Science, Ege University, 35100 Bornova-Izmir, TurkeyJournal Article20170119An exponential dominating set of graph $G = (V,E )$ is a subset $S\subseteq V(G)$ such that $\sum_{u\in S}(1/2)^{\overline{d}{(u,v)-1}}\geq 1$ for every vertex $v$ in $V(G)-S$, where $\overline{d}(u,v)$ is the distance between vertices $u \in S$ and $v \in V(G)-S$ in the graph $G -(S-\{u\})$. The exponential domination number, $\gamma_{e}(G)$, is the smallest cardinality of an exponential dominating set. Graph operations are important methods for constructing new graphs, and they play key roles in the design and analysis of networks. In this study, we consider the exponential domination number of graph operations including edge corona, neighborhood corona and power.https://ijnaa.semnan.ac.ir/article_2767_30d3be476f5e7e4708605bbc92f6406d.pdf