query: What is the Number of Non Isomorphic Spanning trees of $K_n$? (Complete graph of size n)
positive_passages.docid: 150719
positive_passages.text: All nonisomorphic trees of order $n$
negative_passages.docid: 108631
negative_passages.text: Calulating the Ramsey number $R(T, K_{1,n})$ of a tree $T$ and bipartite graph $K_{1,n}$
negative_passages.docid: 114752
negative_passages.text: Number of permutations of a specific cycle decomposition
negative_passages.docid: 79972
negative_passages.text: Determining whether two $k$-chromatic graphs are isomorphic (respecting vertex coloration)
negative_passages.docid: 100832
negative_passages.text: Number of binary trees with $N$ nodes
negative_passages.docid: 152653
negative_passages.text: Count Eulerian cycles in $K_{n,2}$
negative_passages.docid: 133272
negative_passages.text: Number of normal subgroups of a non abelian group of order $21$... CSIR December $2013$
negative_passages.docid: 75461
negative_passages.text: If $n>m$, then the number of $m$-cycles in $S_n$ is given by $\frac{n(n-1)(n-2)\cdots(n-m+1)}{m}$.
negative_passages.docid: 68638
negative_passages.text: Show that if $n\geq 3$, the complete graph on $n$ vertices $K_n$ contains a Hamiltonian cycle.
negative_passages.docid: 100466
negative_passages.text: The number of labelled graphs with all vertices of even degree
negative_passages.docid: 155926
negative_passages.text: Prove there are k consecutive non-squarefree integers
negative_passages.docid: 46309
negative_passages.text: Prove that this graph is nonplanar
negative_passages.docid: 33894
negative_passages.text: How many chains are there in a finite power set?
negative_passages.docid: 137621
negative_passages.text: The Number of Topologies on a Finite Set
negative_passages.docid: 16259
negative_passages.text: How many non isomorphic groups of order 30 are there?
negative_passages.docid: 119648
negative_passages.text: For which $n$ and $k$ are there nontrivial homomorphisms from $S_n$ to $\mathbb{Z}/k\mathbb{Z}$?
negative_passages.docid: 19305
negative_passages.text: How to tell whether two graphs are isomorphic?