Abstract
The cloud computing market is composed by many cloud service providers, It is a key problem about how to choose and to determine the appropriate the competitiveness partners between the major cloud service providers. For this problem we propose a optimization algorithm based on graph theory solution. First we should clearly consider the factors in choosing the partner's .On this basis we establish the mathematical model of the cloud service provider partners. How to select the tender of cloud service providers in the problem, the paper gives the optimization algorithm based on graph theory, last we give an example to verify the effectiveness of the algorithm.
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