Zero-sum Inverse Realization and Property~(P) under Join Operations

G. Arunkumar, Anubhab Pahari, Puja Samanta

We introduce zero-sum inverse realization of property (P) of a graph $G$, obtained by imposing an additional condition \( \mathbf{1}^{\top}A^{-1}\mathbf{1}=0, \) on a matrix $A\in…