Why can even cycles be bipartite? Are all even cycles bipartite?
49585
Proof a graph is bipartite if and only if it contains no odd cycles
17268
Cycles in permutations of a given size
126060
Proving that a Euler Circuit has a even degree for every vertex
61340
Prove that there exists bipartite graph with this degree sequence: $(3,3,3,3,3,5,6,6,6,6,6,6,6,6)$
89531
Show that every graph $G$ has a bipartite subgraph with at least half of the edges of $G$
13012
Why can a = b imply 2 = 1?
145818
Edges on an even number of Hamilton cycles
153100
A counterexample to "$k\mid n$ if and only if $k\mid n^2$"
123049
Why is the polynomial best approximation to an even function itself even?
114752
Number of permutations of a specific cycle decomposition
72417
Bipartite graphs
158308
Proving that if $a,b$ are even, then $\gcd(a,b) = 2 \gcd(a/2, b/2)$
123567
Number of permutations which are products of exactly two disjoint cycles.
123613
Double Complement of a set proof
91777
Product of Non-Disjoint Cycles
96047
Why are two universal objects isomorphic?
131885
Show that not all 5 cycles in $A_5$ are conjugate in $A_5$