Color edges of $K_6$, there is a cycle of length 4
90618
Color the edges of $K_6$ red or blue. Prove that there is a cycle of length 4 with monochromatic edges.
114752
Number of permutations of a specific cycle decomposition
23337
Coloring a $3\times n$ board using $3$ colors
142477
Closed-form expression for the number of $k$-permutations of length $n$. Duplicates allowed!
57930
Chromatic polynomial properties
131736
Proving a triangle with different edge colors exists in a graph.
127814
Number of elements in the quotient ring $\mathbb{Z}_6 [x]/\langle 2x +4\rangle$
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle
16016
Coloring dodecahedron
149104
Coloring $\mathbb R^n$ with $n$ colors always gives us a color with all distances.
137322
Construction of a triangle-free graph of chromatic number $1526$
71170
Upper Bound on the Chromatic Number of a Graph with No Two Disjoint Odd Cycles
78685
How to find all proper colorings (four coloring) of a graph with a brute force algorithm
19026
What do all the $k$-cycles in $S_n$ generate?
81876
edges with thickness and color
158856
Prove that a graph with the same number of edges and vertices contains one cycle
142202
eigenvalues of cycle graph and its complement graph