The Decay and Fission algorithm for generalized quivers

A generalized quiver is a triple $(V,A,K)$, where $V$ is finite, $A:V\times V\to\mathbb{Z}$, and $K:V\to\mathbb{Z}_{>0}$, satisfying the diagonal and symmetrizability conditions stated in the source. A $(p,q)$-edge is allowed when opposite edge multiplicities need not divide one another. The Decay and Fission algorithm for generalized quivers. The Decay and Fission algorithm holds true for good quivers of Definition 2.10, namely the generalized quivers defined above. This extends the proposed algorithm from ordinary good quivers to generalized quivers with $(p,q)$-edges; its validity is proposed on the basis of analysis of abelian generalized quivers and is not established in the source.