University of Kashan Mathematics Interdisciplinary Research 2538-3639 3 1 2018 06 01 Some Applications of Strong Product 55 65 63360 10.22052/mir.2018.55115.1033 EN Mostafa Tavakoli Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran Freydoon Rahbarnia Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran Irandokht Rezaee Abdolhosein Zadeh Department of Applied Mathematics Ferdowsi University of Mashhad P. O. Box 1159, Mashhad 91775, I. R. Iran Journal Article 2016 06 01 Let G and H be graphs. The strong product GH of graphs G and H is the graph with vertex set V(G)V(H) and u=(u<sub>1</sub>, v<sub>1</sub>) is adjacent with v= (u<sub>2</sub>, v<sub>2</sub>) whenever (v<sub>1</sub> = v<sub>2</sub> and u1 is adjacent with u<sub>2</sub>) or (u<sub>1</sub> = u<sub>2 </sub>and v<sub>1</sub> is adjacent with v<sub>2</sub>) or (u1 is adjacent with u<sub>2</sub> and v<sub>1</sub> is adjacent with v<sub>2</sub>). In this paper, we first collect the earlier results about strong product and then we present applications of these results in working with some important graphs<br />such as Fence graphs. strong product graph invariant topological index https://mir.kashanu.ac.ir/article_63360_ddabf90a24b0b6b016f20ecb8f28d726.pdf