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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.

2 votes

Bipartite graphs with prescribed Matching $M$ and genus $g$.

The graph genus problem is NP-hard, so I don't know if this can really be done, at least we don't expect anything to be done quickly. http://en.wikipedia.org/wiki/Graph_embedding#Computational_comple …
David Kohler's user avatar
6 votes

How much linear algebra can be done with graphs?

To answer your first question, you can always interprete vectors as weights on the vertices. In this case, $\lambda$ is an eigenvalue with eigenvector $v$ if for each vertex, the sum of the weights of …
David Kohler's user avatar