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What is Vector Spaces in Graph Theory about?

This document discusses vector spaces in graph theory. It defines the edge space, vertex space, cycle space, and cut space of an undirected graph. The edge space is a vector space where the edges of the graph form the basis. The cycle space is a subspace representing combinations of cycles. A cycle basis generates the cycle space. The cut space similarly represents edge-disjoint cuts. Fundamental cuts from a spanning tree form a basis for the cut space. These vector spaces allow using linear algebra techniq

Author

Paco Ramirez Mojica

Language

EN