Q. In a directed weighted graph, if the weight of every edge is decreased by 10 units, does any change occur to the shortest path in the modified graph?

View solution

Q. Let G(V, E) be a directed graph where every edge has weight as either 1, 2 or 5, what is the algorithm used for the shortest path from a given source vertex to a given destination vertex to get the time complexity of O(V+E)?

View solution

Q. The chromatic number of a graph is the property of ____________

View solution

Q. If a graph G is k-colorable and k<n, for any integer n then it is ___________

View solution

Q. If Cₙ is the nth cyclic graph, where n>3 and n is odd. Determine the value of X(Cₙ).

View solution

Q. Determine the density of a planar graph with 34 edges and 13 nodes.

View solution

Q. If the number of vertices of a chromatic polynomial PG is 56, what is the degree of PG?

View solution

Q. For a connected planar simple graph G=(V, E) with e=|E|=16 and v=|V|=9, then find the number of regions that are created when drawing a planar representation of the graph?

View solution

Q. Suppose G be a connected planar graph of order n≥5 and size m. If the length of the smallest cycle in G is 5, then which of the following is true?

View solution

Q. What is the number of edges of the greatest planar subgraph of K₃,₂ where m,n≤3?

View solution

Q. A non-planar graph can have ____________

View solution

Q. A direct product of a group G possess which of the following characteristics?

View solution

Q. In invariant algebra, some generators of group G1 that goes either into itself or zero under ______ with any other element of the algebra.

View solution

Q. Which of the following can be embedded in an algebraically closed group?

View solution

Q. Which of the following is the set of m×m invertible matrices?

View solution

Q. If any group is a manifold what is the dimension of that group?

View solution

Q. A Latin square graph is a representation of a _______

View solution

Q. There exists _______ between group homology and group cohomology of a finite group.

View solution

Q. In basic ring theory, any ring R1 may be embedded in its own ________

View solution

Q. In Modern particle physics there must exist ______________

View solution