(a)
To calculate: An approximate solution of minimum Hamilton circuit that starts at F, for the given graph and the total weight of the circuit found by using Nearest Neighbor Algorithm.
(b)
To calculate: An approximate solution of minimum Hamilton circuit that starts at G, for the given graph and total weight of the circuit found by using Nearest Neighbor Algorithm.
(c)
To calculate: An approximate solution of minimum Hamilton circuit that starts at H, for the given graph and total weight of the circuit found by using Nearest Neighbor Algorithm.
(d)
To calculate: An approximate solution of minimum Hamilton circuit that starts at I, for the given graph and also total weight of the circuit found by using Nearest Neighbor Algorithm.
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Mathematical Ideas (13th Edition) - Standalone book
- Use the shortest path algorithm to find a shortest st-path in the following graph. The number on each edge indicates its length.arrow_forwardUse dijkstra's algorithm to find the shortest distance from the G to K.arrow_forward(a) Explain briefly the Dijkstra Algorithm for finding the shortest path of any vertex from a certain starting point vertex, on a Graph (directed or Undirected).arrow_forward
- Find the shortest path from vertex 'S' to 'T’ by Dijkstra's algorithm for the weighted graph: 3 3 d 1 4arrow_forwardGrid Grove is a neighborhood, with houses organized in m rows of n columns. Houses that are closest to each other are connected by a path (note that this organization follows the definition of a grid graph given in lecture). Assume that m, n > 2. As follows from lecture, Grid Grove has mn houses and 2mn – m -n paths. It is also possible to walk to any house from any other house through some sequence of paths. To save money, the landlords want to get rid of some paths. Calculate D, the maximum number of paths that can be removed from the neighborhood without disconnecting it. Justify your answer. Then describe (informally) which D paths of the neighborhood can be removed (there is more than one such set of D paths).arrow_forwardP(z)=z5 -2z3+3z2+3z-4 Horner to calculate p(4), including use the algorithmarrow_forward
- Use the Nearest Neighbor Algorithm starting at vertex A to estimate the optimal Hamiltonian circuit. The Hamiltonian circuit which gives an estimate to the optimal solution is. The estimate for the optimal solution given by the Hamiltonian circuit is. IMMAGE ATTACHEDarrow_forwardUse the Repeated Nearest Neighbor Algorithm to find an approximation for the optimal Hamiltonian circuit. The Hamiltonian circuit given by the Nearest Neighbor Algorithm starting at vertex A is . The sum of it's edges is . The Hamiltonian circuit given by the Nearest Neighbor Algorithm starting at vertex B is . The sum of it's edges is . The Hamiltonian circuit given by the Nearest Neighbor Algorithm starting at vertex C is . The sum of its edges is . The Hamiltonian circuit given by the Nearest Neighbor Algorithm starting at vertex D is . The sum of it's edges is . The Hamiltonian circuit giving the approximate optimal solution using the Repeated Nearest Neighbor Algorithm is . The approximate optimal solution is . IMAGE ATTACHEDarrow_forwardUse the Nearest Neighbor Algorithm starting at vertex A to estimate the optimal Hamiltonian circuit. The Hamiltonian circuit which gives an estimate to the optimal solution is . The estimate for the optimal solution given by the Hamiltonian circuit is . PLEASE HELParrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning