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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
Type of directed graphs
For undirected graphs, this seems similar to the Friendship Graph--a graph in which, if two vertices are "friends" (i.e. share an edge), then they have exactly one common friend (i.e. exactly one new …
1
vote
Accepted
Can't lower bound be improved on number of light edges in planar graph with minimum degree f...
Theorem Every normal plane map of minimum vertex degree 5 satisfies
$\frac{14}{3} e_{5,5}+2e_{5,6}≥120.$
The author says the inequality cannot be improved. Since the following graph is constructed wi …