Abstract:A new class of graphs called dumbbell graphs denoted as DB (Wm,n) on 2(m+n) vertices is obtained by connecting m - vertices at the centres of the two generalized wheel graphs Wm,n, m ≥2, n ≥3 through m - edges. In this paper, we have extended this class of graphs to form Hyper-Dumbbell graph and also obtained its the distance spectrum, distance Laplacian spectrum and distance signless Laplacian spectrum.
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