Closed

Algorithm evaluation

I need to make a Minimum Spanning Tree: Solving TSP for Metric Graphs using MST Heuristic:.

Given an arbitrary metric graph, construct its Minimum spanning tree using Kruskal's algorithm.

You can assume adjacency matrix representation of graphs. If you wish, you can reuse external

libraries for heaps. Now use the constructed MST to find an approximate estimate for the TSP

problem. You can choose to implement any of the two approximation algorithms specified in

Wikipedia's entry on TSP – One with approximation factor of 1.5 (Christofides) or 2. Compare it

with the optimal answer. You can use some external library to find the optimal solution to the TSP

problem.

Once the project is completed, the following is expected from you:

1)A demonstration of your project in which you show the various features of your system such

as its correctness, efficiency, etc.

2)You should also hand in a completed project report which contains details about your project,

such as main data structures, main components of the algorithm, design of the user-interface

for input/output, experimental results, e.g. charts of running time versus input size, etc.

3)You should also hand in a completed project report which contains details about your project,

such as main data structures, main components of the algorithm, design of the user-interface

for input/output, experimental results, e.g. charts of running time versus input size, etc.

Note: Comment on each statement on the code

Report

1)Brief explanation of the algorithms.

2)Brief description of the experiment.

3)Interpretation of experimental data. Comparison of experimental data with theoretical

complexities.

4)Conclusions

Skills: Algorithm, C++ Programming, Java, Matlab and Mathematica, Mathematics

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Project ID: #32283349

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TFComplex

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