query: Number of distinct connected undirected graphs possible with n nodes and k edges
positive_passages.docid: 17868
positive_passages.text: How to calculate the number of possible connected simple graphs with $n$ labelled vertices
negative_passages.docid: 71170
negative_passages.text: Upper Bound on the Chromatic Number of a Graph with No Two Disjoint Odd Cycles
negative_passages.docid: 117349
negative_passages.text: counting triangles in a graph or its complement
negative_passages.docid: 93304
negative_passages.text: How to prove Graph with $n$ vertices has Edge Chromatic Number no more than $n/2$ edges
negative_passages.docid: 98991
negative_passages.text: How many different spanning trees of $K_n \setminus e$ are there?
negative_passages.docid: 142861
negative_passages.text: Multipartite graphs which are not planar
negative_passages.docid: 116932
negative_passages.text: Proving a simple graph is a connected graph
negative_passages.docid: 49193
negative_passages.text: Constructing a graph from a degree sequence
negative_passages.docid: 45448
negative_passages.text: Minimum number of $k$-partitions of a set of size $n$ to enumerate all $n \choose k$ combinations
negative_passages.docid: 8458
negative_passages.text: Combinatorics problem based on Ferrers graph
negative_passages.docid: 70761
negative_passages.text: Number of ways to connect sets of $k$ dots in a perfect $n$-gon
negative_passages.docid: 111324
negative_passages.text: Finding number of relations on a set with 3 elements
negative_passages.docid: 19413
negative_passages.text: Degree sequence multigraph without loop
negative_passages.docid: 18117
negative_passages.text: Maximum number of edges in a simple graph?
negative_passages.docid: 44304
negative_passages.text: Number of labeled trees which have one vertex of degree 4
negative_passages.docid: 99781
negative_passages.text: Proof that any simple connected graph has at least 2 non-cut vertices.
negative_passages.docid: 83872
negative_passages.text: Isomorphisms for graphs with loops and multiple edges