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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.

1 vote
2 answers
416 views

on counting of special case of trees on a graph

Lets define edge-cycle in a graph $G$ as a path where the first and the last node are adjacent. (in contrast with the definition of cycle where first and last node are the same). An edge-tree $T$ is …
katsarola's user avatar
4 votes
0 answers
458 views

Generating random polygons from a given triangulation of points

Given a triangulation $T$ of a planar set point $S$, we would like to randomly generate a polygon (hamiltonian cycle) $P$. However, it has been proved that Hamiltonian Circuit Problem on maximal plan …
katsarola's user avatar
2 votes

What introductory book on Graph Theory would you recommend?

graph-theory-algorithms-book A GNU-FDL book on algorithmic graph theory by David Joyner, Minh Van Nguyen, and Nathann Cohen.