Title: Bounds for the completely positive rank of a symmetric matrix over a tropical semiring,
Abstract: In this paper, we find an upper bound for the CP-rank of a matrix over a
tropical semiring, according to the vertex clique cover of the graph prescribed
by the pattern of the matrix. We study the graphs that beget the patterns of
matrices with the lowest possible CP-ranks and prove that any such graph must
have its diameter equal to 2.