If G is a connected planar graph of v vertices e edges and r regions then

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• If G is a simple connected 3-regular planar graph where every region is bounded by exactly 3 edges, then the edges of G is
• If G is a simple connected 3-regular planar graph where every region is bounded by exactly 3 edges, then the edges of G is
• Consider a graph G = (V, E) where I V I is divisible by 3. The problem of finding a Hamiltonian cycle in a graph is denoted by SHAM3 and the problem of determining if a Hamiltonian cycle exits in such graph is denoted by DHAM3. The option, which holds true, is
• Let FHAM be the problem of finding a Hamiltonian cycle in a graph G and DHAM be the problem of determining if a Hamiltonial cycle exists in a graph. Which one of the following is TRUE?
• 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) The problem of determining whether there exists a cycle in an undirected graph is in NP. (3) If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A.
• The PDA is called non-deterministic PDA when there are more than one out going edges from……… state:
• The PDA is called non-deterministic PDA when there are more than one out going edges from……… state
• Let SHAM3 be the problem of finding a Hamiltonian cycle in a graph G =(V,E)with V divisible by 3 and DHAM3 be the problem of determining if a Hamiltonian cycle exists in such graphs. Which one of the following is true?
• A spanning tree for a simple graph of order 24 has
• A Hamiltonian cycle in a Hamiltonian graph of order 24 has