SIAM Journal on Applied Mathematics, Vol. 34, No. 1 (Jan., 1978), pp. 176-197 (22 pages) We consider a graph-theoretic elimination process which models Gaussian elimination on sparse systems of linear ...

Let 𝑅 be any subring of the reals. We present a generalization of linear systems on graphs where divisors are 𝑅-valued functions on the set of vertices and graph edges are permitted to have ...