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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
2 answers
122 views

Odd partition with extra properties

Can such a set $A=$ {$a_1,.. a_k$} exist, such that: $\sum_i a_i = 1$ and $a_i $ are rational positive numbers $k$ is and odd number, and is at least $3$. We can partition $A$ in two parts of value …
3 votes
1 answer
143 views

Broken line that can go in specific directions: can it end up on its starting point?

Say you have a 2D broken line you move along, but only some directions are allowed (I give you the angles relative to the usual cartesian plane): (Up-Left): $]\pi, \dfrac{\pi}{2}[$ (Down-Left): $] …