List of top Mathematics Questions on Graph Theory

The coefficient of \( x^{50} \) in \( (1 + x)^{101} (1 - x + x^2)^{100} \) is:

The adjoining graph

The vertex connectivity of any tree is

Is it possible for wheel $W_n$ ($n \ge 3$) to be bipartite?

For what values of n is the graph $K_n$ Eulerian?

In a tree on a vertices there is exactly one vertex with degree 2 and remaining vertices are of degree either 1 or 3. Then the number of pendant vertices is