How to show that there exists a tournament of size n with a certain number of Hamiltonian paths?
13822
Expected number of hamiltonian paths in a tournament
134440
An unexpected application of non-trivial combinatorics
88356
Number of options to distribute $N$ different balls to $K$ numbered cells
31626
proving that a graph is hamiltonian (Ore's theorem)
52784
Hamiltonian Cycle Problem
48184
Prove a graph Containing $2k$ odd vertices contains $k$ distinct trails
115085
number of vertices in a self-complemntary graph
27263
How many ways can $b$ balls be distributed in $c$ containers with no more than $n$ balls in any given container?
49465
How many Hamiltonian cycles are there in a complete graph $K_n$ ($n\geq 3$) Why?
114752
Number of permutations of a specific cycle decomposition
44620
Reference for combinatorial game theory.
68638
Show that if $n\geq 3$, the complete graph on $n$ vertices $K_n$ contains a Hamiltonian cycle.
13549
Can an $(a,b)$-knight reach every point on a chessboard?
88595
Prob. 21, Sec. 17 in Munkres' TOPOLOGY, 2nd ed: Closure and complementation can result in at most 14 different sets
94406
Degree of minimum polynomial at most $n$ without Cayley-Hamilton?
20722
Fixed points in random permutation
128034
Problem on Extremal Graphs: three independent paths