List of top Mathematics Questions on Graph Theory asked in MET

In a simple regular graph, total degree is 28. If the graph has more than one cycle in it, then the degree of each vertex is

The adjoining graph

The vertex connectivity of any tree is

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

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