For every n, all graphs sharing the adjacency spectrum of the double star P_2(1,n) are explicitly described: P_2(1,n) is determined by its spectrum exactly when n is odd or n=2.
Which graphs are determined by their spectrum?
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A characterization of all graphs cospectral to the double star $P_2(1,n)$
For every n, all graphs sharing the adjacency spectrum of the double star P_2(1,n) are explicitly described: P_2(1,n) is determined by its spectrum exactly when n is odd or n=2.