Prerequisite: NP-Completeness A clique is a subgraph of a graph such that all the vertices in this subgraph are connected with each other that is… Read More

# Tag Archives: NP Complete

Subgraph Isomorphism Problem: We have two undirected graphs G1 and G2. The problem is to check whether G1 is isomorphic to a subgraph of G2.… Read More

Pre-requisite: Dominant Set of a Graph, NP-Complete A dominating set in a graph G = (V, E) is a subset of vertices V’ following the… Read More

In graph theory, a dominating set for a graph G = (V, E) is a subset D of V such that every vertex not in… Read More

Prerequisite – Vertex Cover Problem, NP-Completeness Problem – Given a graph G(V, E) and a positive integer k, the problem is to find whether there… Read More

Prerequisite : NP-Completeness The class of languages for which membership can be decided quickly fall in the class of P and The class of languages… Read More

Travelling Salesman Problem (TSP) : Given a set of cities and distances between every pair of cities, the problem is to find the shortest possible… Read More

Which of the following is true about NP-Complete and NP-Hard problems. (A) If we want to prove that a problem X is NP-Hard, we take… Read More

Which of the following statements are TRUE? (1) The problem of determining whether there exists a cycle in an undirected graph is in P. (2)… Read More

The problem 3-SAT and 2-SAT are (A) both in P (B) both NP complete (C) NP-complete and in P respectively (D) undecidable and NP-complete respectively… Read More

Let X be a problem that belongs to the class NP. Then which one of the following is TRUE? (A) There is no polynomial time… Read More

Let S be an NP-complete problem and Q and R be two other problems not known to be in NP. Q is polynomial time reducible… Read More

Assuming P != NP, which of the following is true ? (A) NP-complete = NP (B) NP-complete P = (C) NP-hard = NP (D) P… Read More