query: How many eulerian circuits are in $K_{2,n}$ ?
positive_passages.docid: 152653
positive_passages.text: Count Eulerian cycles in $K_{n,2}$
negative_passages.docid: 45958
negative_passages.text: Proof that the Euler characteristic is additive
negative_passages.docid: 114752
negative_passages.text: Number of permutations of a specific cycle decomposition
negative_passages.docid: 57954
negative_passages.text: How many transitive relations on a set of $n$ elements?
negative_passages.docid: 138178
negative_passages.text: Proving the number of iterations in the Euclidean algorithm
negative_passages.docid: 31347
negative_passages.text: $A_n$ is generated by 3-cycles given $n\geq 3$. Is this proof correct?
negative_passages.docid: 44841
negative_passages.text: Complexity of $T(n) = 2T(n/2) + n$
negative_passages.docid: 46971
negative_passages.text: Number of surjections from $\{1,...,m\}$ to $\{1,...,n\}$
negative_passages.docid: 3786
negative_passages.text: Help finding a combinatorial proof of $k {n \choose k } = n {n - 1 \choose k -1}\;$
negative_passages.docid: 149294
negative_passages.text: How do i prove how $S_5$ is generated by a two cycle and a five cycle?
negative_passages.docid: 125668
negative_passages.text: A proof that BS(1,2) is not polycyclic
negative_passages.docid: 31555
negative_passages.text: Divisor of $m$ and $n$ divides $m - qn$ (in proof of Euclidean algorithm)
negative_passages.docid: 8627
negative_passages.text: Number of equivalence classes of $w \times h$ matrices under switching rows and columns
negative_passages.docid: 96329
negative_passages.text: Show that for any $k$-cycle $(a_1 a_2...a_k) \in S_n$, and for any permutation $\pi \in S_n$, $\pi(a_1...a_k)\pi^{-1}=(\pi(a_1)..\pi(a_k))$
negative_passages.docid: 149589
negative_passages.text: Analogous results to Euler's theorem
negative_passages.docid: 76104
negative_passages.text: Bipartite graph. average degree. Euler circuit.
negative_passages.docid: 142038
negative_passages.text: Finding the number of elements of order two in the symmetric group $S_4$