How many Hamiltonian circuits are there in a complete graph with n vertices?
49465
How many Hamiltonian cycles are there in a complete graph $K_n$ ($n\geq 3$) Why?
99677
Generalization of Cayley-Hamilton
66842
Number of $n^2\times n^2$ permutation matrices with a 1 in each $n\times n$ subgrid
70761
Number of ways to connect sets of $k$ dots in a perfect $n$-gon
25002
Is this true: any bipartite graph with unbalanced vertex parity is not Hamiltonian?
13822
Expected number of hamiltonian paths in a tournament
96803
Hall's marriage theorem in bipartite graph
39753
Proving that in a simple graph with $n$ vertices, two vertices have the same degree
158856
Prove that a graph with the same number of edges and vertices contains one cycle
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
146933
Proving bipartition in a connected planar graph
68882
Path to Combinatorics Problem [$1.11$]
142103
find all self-complementary graphs on five vertices
53924
What is the smallest $n$ for which loopless graphs contain non-isomorphic $n$-vertex graphs with the same degree sequence?
71154
Why a complete graph has $\frac{n(n-1)}{2}$ edges?
152653
Count Eulerian cycles in $K_{n,2}$
155372
Find the number of permutations in $S_n$ containing fixed elements in one cycle