Hamiltonian path searchMany graph algorithms are proven to be NP-complete and hence difficult to evaluate even for small dimension of problem. Example of such an algorithm is Hamiltonian path search. This paper presents modification of parallel backtracking algorithm to reduce search-tree...
A problem's complexity is equivalent to the time complexity of the most efficient possible algorithm. For instance, the dictionary lookup problem mentioned in the introduction of Section 4.2 has a complexity of O(lg n), the complexity of Binary_Search in Algorithm 4.2. To facilitate the ...
Watch the example of nearest neighbor algorithm for traveling from city to city using a table worked out in the video below. In the next video we use the same table, but use sorted edges to plan the trip. Try It Find the circuit produced by the Sorted Edges algorithm using the graph be...
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 ...
The greedy algorithm has also the advantage that exploits the locality of the loop because it uses in the HR as many dependence edges as possible and their use as part of the HR generates 355 a scheduling where operations that define and use the same data are close allocated on execution. ...
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 ...