Backtracking has ability to give same result in far fewer attempts than the exhaustive or brute force method trials. This paper gives the recursive algorithm for Hamiltonian cycle and TSP (travelling salesman problem) based on the backtracking approach. If at any stage it is detected that the ...
Algorithm Hamiltonian (k)1. { 2. Repeat 3. { 4. Next value (k); 5. If (x[k] == 0) then return; 6. If ( x[k] == n) then write x[1:n]; 7. Else Hamiltonian (k+1) 8. } 9. Until (false);Algorithm Next value (k)1. { 2. Repeat 3. { 4. X [k] = (x[k]...
restricted backtrackingWhile determining whether a graph is Hamiltonian, it is enough to show existence of a Hamiltonian cycle in it. An algorithm based on restricted backtracking is presented in the paper that uses tie breaking rules to reduce the possible number of backtrackings. If x is any ...
Rubin (1974) describes an efficient search procedure that can find some or all Hamilton paths and circuits in a graph using deductions that greatly reduce backtracking and guesswork. A probabilistic algorithm due to Angluin and Valiant (1979), described by Wilf (1994), can also be useful to ...
Using an improved backtracking algorithm with pruning operations, we try to find the areas where hard problem instances can be found with high probability. For random graphs with degrees greater than 1, the experimental results have demonstrated that hard cases can be found with high probability ...
This paper describes the key features of ADEP and how the environment was used to generate a Memetic Algorithm (MA) solution for Hamiltonian Cycle Problems (HCP). The effectiveness of the MA algorithm is demonstrated through computer simulations and its performance is compared with backtracking and...