Q. The maximum number of edges in a 8-node undirected graph without self loops is ____________

View solution

Q. Let G be an arbitrary graph with v nodes and k components. If a vertex is removed from G, the number of components in the resultant graph must necessarily lie down between _____ and _____

View solution

Q. The 2ⁿ vertices of a graph G corresponds to all subsets of a set of size n, for n>=4. Two vertices of G are adjacent if and only if the corresponding sets intersect in exactly two elements.
The number of connected components in G can be ___________

View solution

Q. A graph which has the same number of edges as its complement must have number of vertices congruent to ______ or _______ modulo 4(for integral values of number of edges).

View solution

Q. Every Isomorphic graph must have ________ representation.

View solution

Q. A cycle on n vertices is isomorphic to its complement. What is the value of n?

View solution

Q. How many perfect matchings are there in a complete graph of 10 vertices?

View solution

Q. A graph G has the degree of each vertex is ≥ 3 say, deg(V) ≥ 3 ∀ V ∈ G such that 3|V| ≤ 2|E| and 3|R| ≤ 2|E|, then the graph is said to be ________ (R denotes region in the graph)

View solution

Q. A complete n-node graph Kn is planar if and only if _____________

View solution

Q. A graph is ______ if and only if it does not contain a subgraph homeomorphic to k₅ or k₃,₃.

View solution

Q. An isomorphism of graphs G and H is a bijection f the vertex sets of G and H. Such that any two vertices u and v of G are adjacent in G if and only if ____________

View solution

Q. What is the grade of a planar graph consisting of 8 vertices and 15 edges?

View solution

Q. A _______ is a graph with no homomorphism to any proper subgraph.

View solution

Q. Which algorithm efficiently calculates the single source shortest paths in a Directed Acyclic Graph?

View solution

Q. The _______ of a graph G consists of all vertices and edges of G.

View solution

Q. A ______ in a graph G is a circuit which consists of every vertex (except first/last vertex) of G exactly once.

View solution

Q. A walk has Closed property if ____________

View solution

Q. A trail in a graph can be described as ______________

View solution

Q. Let a graph can be denoted as ncfkedn a kind of ____________

View solution

Q. Determine the edge count of a path complement graph with 14 vertices.

View solution