The Distance Matrices of Some Graphs Related to Wheel Graphs

The Distance Matrices of Some Graphs Related to Wheel Graphs

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Let D denote the distance matrix of a fp9550bk connected graph G.The inertia of D is the triple of integers (n+(D), n0(D), n-(D)), where n+(D), n0(D), and n-(D) denote the number of positive, 0, and negative eigenvalues of D, respectively.In this paper, we mainly study the inertia of distance crystal beaded candle holder matrices of some graphs related to wheel graphs and give a construction for graphs whose distance matrices have exactly one positive eigenvalue.