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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.

3 votes
0 answers
141 views

Counting homologically non-trivial and trivial cycles in $n \times n$ square lattice torus o...

This should be a fairly standard question but I can't really seem to find a reference. Consider an $n \times n$ square lattice torus $\mathbb T$. Given a length $l \geq n$, what is the number of homol …
Sanchayan Dutta's user avatar
4 votes
2 answers
306 views

Connecting $2n$ points in $\mathbb R^2$ with line segments s.t. each point belongs to exactl...

I'm trying to do a certain simulation related to the toric code and I'm looking for an algorithm that connects $2n$ points ($n \in \mathbb Z_+$) in $\mathbb R^2$ with line segments with the following …
Sanchayan Dutta's user avatar