If $K_6$ has its edges coloured using $2$ coulours, it contains two monochromatic triangles
1000
$K_6$ contains at least two monochromatic $K_3$ graphs.
2731
Groups of even order have an element whose order is 2.
93304
How to prove Graph with $n$ vertices has Edge Chromatic Number no more than $n/2$ edges
110760
Chromatic Polynomial
126583
Coloring points on an n-gon
131137
If ${\lvert{E(G)}\rvert}>{\lvert{V(G)}\rvert}+3$, graph $G$ has at least two disjoint cycles.
102429
There are 2 groups of order 6 (up to isomorphism)
22977
How many $6$-integer subsets of $\{1, 2, 3, \ldots, 20\}$ have no consecutive integers?
48184
Prove a graph Containing $2k$ odd vertices contains $k$ distinct trails
131736
Proving a triangle with different edge colors exists in a graph.
148147
Three circles having centres on the three sides of a triangle
24477
Monochromatic squares in a colored plane
131031
Q: Proving G is d-colorable
40080
Sum of multiples of $2$ coprime numbers cover positive integers
103146
Proof that the Rubik’s Cube group is 2-generated
129935
Coloring problem with equilateral triangles
7062
Can the complete graph $K_9$, be 2-coloured with no blue $K_4$ or red triangles?