# How can we solve the Travelling salesman problem?

## How can we solve the Travelling salesman problem?

To solve the TSP using the Brute-Force approach, you must calculate the total number of routes and then draw and list all the possible routes. Calculate the distance of each route and then choose the shortest one—this is the optimal solution. This method breaks a problem to be solved into several sub-problems.

## Can we solve TSP using greedy algorithm?

Also, in a particular TSP graph, there can be many hamiltonian cycles but we need to output only one that satisfies our required aim of the problem. Approach: This problem can be solved using Greedy Technique.

Can Travelling salesman be solved by backtracking?

Travelling Salesman Problem (TSP): Given a set of cities and distance between every pair of cities, the problem is to find the shortest possible route that visits every city exactly once and returns back to the starting point.

Can TSP be solved using DP?

Dynamic Programming Approach for Solving TSP If the number of cities in the subset is two, then the recursive function returns their distance as a base case. , then we’ll calculate the distance from the current city to the nearest city, and the minimum distance among the remaining cities is calculated recursively.

### Can travelling salesman problem be solved using dynamic programming?

Instead of brute-force using dynamic programming approach, the solution can be obtained in lesser time, though there is no polynomial time algorithm. Let us consider a graph G = (V, E), where V is a set of cities and E is a set of weighted edges. An edge e(u, v) represents that vertices u and v are connected.

### Is branch and bound more efficient than backtracking?

In backtracking, the state space tree is searched until the solution is obtained. In Branch-and-Bound as the optimum solution may be present any where in the state space tree, so the tree need to be searched completely. Backtracking is more efficient. Branch-and-Bound is less efficient.

How do I print the path in Travelling salesman problem?

1 Answer. Show activity on this post. in the block if (complete(visited, arrSize) == arrSize) { you should be writing to min_path only if the current path is shorter than the best path found.

What is K-coloring?

(definition) Definition: 1) The assignment of k colors (or any distinct marks) to the vertices of a graph. 2) The assignment of k colors to the edges of a graph. A coloring is a proper coloring if no two adjacent vertices or edges have the same color.