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incidence matrix with respect to an orientation
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(Definition)
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Let $G$ be a finite graph with $n$ vertices, $\{v_1, \ldots, v_n\}$ and $m$ edges, $\{e_1, \ldots, e_m\}$ For each edge $e = (v_i,v_j)$ of $G$ choose one vertex to be the positive end and the other to be the negative end. In this way, we assign an
orientation to $G$ The incidence matrix of $G$ with respect an orientation is an $n \times m$ matrix $D=(d_{ij})$ where
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"incidence matrix with respect to an orientation" is owned by Mathprof.
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(view preamble | get metadata)
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orientation |
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Cross-references: matrix, negative, positive, edges, vertices, graph, finite
There are 10 references to this entry.
This is version 3 of incidence matrix with respect to an orientation, born on 2007-05-14, modified 2007-05-14.
Object id is 9382, canonical name is IncidenceMatrixWithRespectToAnOrientation.
Accessed 2264 times total.
Classification:
| AMS MSC: | 05C50 (Combinatorics :: Graph theory :: Graphs and matrices) |
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Pending Errata and Addenda
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