Incidence matrix


context $n_v,m_e\in \mathbb N$
definiendum $ M\in \mathrm{it}(n_v,m_e) $
postulate $ \mathrm{Matrix}(n_v,m_e,\{0,1,2\}) $
for all $i\in\mathrm{range}(n_v)$
postulate $\sum_{j=1}^{m_e} M_{ij}=2 $


The index $i$ in $M_{ij}$ labels the vertices and the index $j$ labels the edges. The definition says that every edge has exactly two endpoints.

Every incidence matrix corresponds to (a representative of the isomorphism class of) a finite undirected graph.


Subset of

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