query: Number of Forests on Vertex set with two Connected Components
positive_passages.docid: 17086
positive_passages.text: The number of (non-equal) forests on the vertex set V = {1, 2, ...,n} that contains exactly 2 connected components is given by
negative_passages.docid: 63379
negative_passages.text: Enumerate non-isomorphic graphs on n vertices
negative_passages.docid: 13767
negative_passages.text: Number of nodes in binary tree given number of leaves
negative_passages.docid: 90559
negative_passages.text: Partitioning of a graph
negative_passages.docid: 50886
negative_passages.text: Two disjoint spanning trees, spanning subgraph with all even degrees
negative_passages.docid: 99781
negative_passages.text: Proof that any simple connected graph has at least 2 non-cut vertices.
negative_passages.docid: 37754
negative_passages.text: Number of vertices of a complete graph with $n$ edges
negative_passages.docid: 44304
negative_passages.text: Number of labeled trees which have one vertex of degree 4
negative_passages.docid: 59247
negative_passages.text: How many connected graphs over V vertices and E edges?
negative_passages.docid: 115085
negative_passages.text: number of vertices in a self-complemntary graph
negative_passages.docid: 106801
negative_passages.text: Labelled spanning trees of $K_n-e$
negative_passages.docid: 150508
negative_passages.text: ∗∗Prove that each graph with an even number of vertices has two vertices with an even number of common neighbors.
negative_passages.docid: 78243
negative_passages.text: graph-theory problem about outdegree and indegree
negative_passages.docid: 151152
negative_passages.text: Removing nodes from graphs such that one is dependent on other - ZIO $2010$, P$1$
negative_passages.docid: 8458
negative_passages.text: Combinatorics problem based on Ferrers graph
negative_passages.docid: 158802
negative_passages.text: Graph theory and tree company
negative_passages.docid: 116866
negative_passages.text: $A\times B$ connected component implies $A,B$ connect components