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Results tagged with graph-theory
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user 22379
Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.
2
votes
length of paths between two nodes in a directed acyclic graph
Label the vertices from 1 to $n$. Let $A = (a_{ij})$ be the incidence matrix. (The entry $a_{ij}$ is 1 if there is an arrow from vertiex $i$ to vertex $j$ and $a_{ij} = 0$ otherwise.)
Then, the numbe …
- 511
4
votes
Accepted
Realiziability of hypergraphs as link (multi)sets of ordinary graphs
Let $A(H) = (a_{ij})$ be the incidence matrix of a weighted hypergraph $H$. This is the 0-1 matrix such that $v_i \in E_j$ if and only if $a_{ij} = 1$. (Repeated hyperedges from the integral weighting …
- 511