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- W33444218 abstract "Let X be a graph with an orientation σ and let D be the incidence matrix of X σ. In this chapter we continue the study of how graph-theoretic properties of X are reflected in the algebraic properties of D. As previously, the orientation is merely a device used to prove the results, and the results themselves are independent of which particular orientation is chosen. Let ℝE and ℝv denote the real vector spaces with coordinates indexed by the edges and vertices of X, respectively. Then the column space of D T is a subspace of ℝE, called the cut space of X. The orthogonal complement of this vector space is called the flow space of X.KeywordsSpan TreeConnected GraphInteger VectorIntegral BasisColumn SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W33444218 date "2001-01-01" @default.
- W33444218 modified "2023-09-27" @default.
- W33444218 title "Cuts and Flows" @default.
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- W33444218 doi "https://doi.org/10.1007/978-1-4613-0163-9_14" @default.
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