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Problem Partition-into-Hamiltonian-Subgraphs (PiHS):

Input:

A graph G= (V; E) and a positive integer k<=|V|

Question:

Can the set V of vertices be partitioned into exactly k disjoint sets V1; V2; V3.... Vk such that, for 1<=i<=k, the subgraph induced by subset Vi contains a Hamiltonian cycle?

(a) Give a new yes-instance of Problem PiHS.

(b) Give a new no-instance of Problem PiHS.

(c) Prove that Problem PiHS is in the class NP

Computer Engineering, Engineering

  • Category:- Computer Engineering
  • Reference No.:- M93092454

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