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Results tagged with graph-theory
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user 11236
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.
5
votes
Accepted
Calculating a generalized inverse (Moore–Penrose pseudoinverse)
Let's start by constructing an eigendecomposition of $L_n$.
Let $\mathbf{v}_j \in \mathbb{R}^n$, for $1 \leq j \leq \lfloor (n-1)/2 \rfloor$, be the vector defined as follows:
its $j$-th entry is $ …
- 6,351
28
votes
Accepted
Are infinite planar graphs still 4-colorable?
The answer to both questions is "yes", by the De Bruijn–Erdős theorem.
- 6,351