Number of labeled unicyclic graphs
125713
How to justify unicyclic connected graphs formula?
37754
Number of vertices of a complete graph with $n$ edges
94838
Show that a self-complementary graph contains an odd number of vertices with degree $(n-1)/2$
142103
find all self-complementary graphs on five vertices
65574
How to prove that total number of non-isomorphic labelled trees of order $n$ is $n^{n-2}$?
116538
Proof of Connected Diagrams
134440
An unexpected application of non-trivial combinatorics
142202
eigenvalues of cycle graph and its complement graph
97630
A graph which is not a single block has at least two leaf blocks
17086
The number of (non-equal) forests on the vertex set V = {1, 2, ...,n} that contains exactly 2 connected components is given by
115085
number of vertices in a self-complemntary graph
95378
Known bounds for the number of groups of a given order.
17268
Cycles in permutations of a given size
82207
Number of Pairs of Subsets
35362
Number of equivalence relations on a set
45510
Number of vertices present in all maximum matchings
158856
Prove that a graph with the same number of edges and vertices contains one cycle