The Cycle Spaces of an Infinite Graph

Abstract

The edge space of a finite graph G = (V,E) over a field F is simply an assignment of field elements to the edges of the graph. The edge space can equally be thought of us an |E|-dimensional vector space over F. The cycle space and bond space are the subspaces of the edge space generated by the cycle and bonds of the graph respectively. It is easy to prove… (More)

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