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My main Objectives in this book to investigate solutions of Some Problems on Graphs. Graph Theory is a delightful playground for the exploration of proof techniques in Discrete Mathematics and its results have applications in many areas of Computing, social and natural sciences. Let G=(V,E) be a finite, connected, undirected, simple graph n vertices and m edges, where V is the set of vertices and E is the set of edges. I specially consider Cactus Graphs. I give special credit to my research guide Professor Madhumangal Pal for inspiring me for this work.
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