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On the spread of the geometric-arithmetic matrix of graphs

On the spread of the geometric-arithmetic matrix of graphs

In a graph G, if di is the degree of a vertex vi, the geometric-arithmetic matrix GA(G) is a square matrix whose (i,j)-th entry is 2didjdi+dj whenever vertices i and j are adjacent and 0 otherwise. The set of all eigenvalues of GA(G) including multiplicities is known as the geometric-arithmetic …