Unbalanced signed graphs with eigenvalue properties

For a signature function Psi : E(H) -> {+/- 1} with underlying graph H, a signed graph (S.G) (H) over cap = (H,Psi) is a graph in which edges are assigned the signs using the signature function Psi. An S.G (H) over cap is said to fulfill the symmetric eigenvalue property if for every eigenvalue (h) over cap((H) over cap) of (H) over cap, - (h) over cap((H) over cap) is also an eigenvalue of (H) over cap. A non singular S.G (H) over cap is said to fulfill the property (SR) if for every eigenvalue (h) over cap((H) over cap) of (H) over cap, its reciprocal is also an eigenvalue of (H) over cap (with multiplicity as that of (h) over cap((H) over cap)). A non singular S.G (H) over cap is said to fulfill the property (-SR) if for every eigenvalue (h) over cap((H) over cap) of (H) over cap, its negative reciprocal is also an eigenvalue of (H) over cap (with multiplicity as that of (h) over cap ((H) over cap)). In this article, non bipartite unbalanced S.Gs C-3((m,1)) and C-5((m,2)), where m is even positive integer have been constructed and it has been shown that these graphs fulfill the symmetric eigenvalue property, the S.Gs C-3((m,1)) also fulfill the properties (-SR) and (SR), whereas the S.Gs C-5((m,2)) are close to fulfill the properties (-SR) and (SR).