How many trees are there on vertex set $[n]$ that contain a given edge $uv$?
98991
How many different spanning trees of $K_n \setminus e$ are there?
49045
Graph theory: Tree holds two sub-tree with an amount of vertices
129752
How to find whether it is possible for each vertex of a graph to have a different degree?
100978
If a graph with $n$ vertices and $n$ edges there must a cycle?
25382
Maximum number of edges in a bipartite graph
86271
Spanning Trees: Prove if $e_1$ is an edge in $X$ that isn't in $Y$, then there exists an edge ...
142861
Multipartite graphs which are not planar
150719
All nonisomorphic trees of order $n$
100466
The number of labelled graphs with all vertices of even degree
49193
Constructing a graph from a degree sequence
57221
counting the number of elements in a conjugacy class of $S_n$
93304
How to prove Graph with $n$ vertices has Edge Chromatic Number no more than $n/2$ edges
45510
Number of vertices present in all maximum matchings
145818
Edges on an even number of Hamilton cycles
106801
Labelled spanning trees of $K_n-e$
117020
Regular $n$-gon in the plane with vertices on integers?
37754
Number of vertices of a complete graph with $n$ edges