Apply Graph Theory To Solve Related Problems Of Multinational Corporations

Mineral resources are closely related to the economic development of a country,andcross-border investment is the main way for most countries to ensure the sustainable supply of mineral resources.Based on the complex network theory,research on a series of problems of of multinational enterprises' mining industry investment can grasp the overall structure and development trend of the mining industry investment system,and help multinational enterprises to formulate the correct investment strategies,which has strong practical significance.This paper consists of six chapters.The first chapter is the introduction,which introduces the relevant background of investment and network,the research status and the main research contents of this article.The second chapter is based on the relevant theoretical knowledge of the network in the graph theory,and the network modeling of the specific data of the multinational enterprises'investment in the mining industry from 2002 to 2011 is carried out.Analyze the evolution of international mining industry investment network structure characteristics.The third chapter,combined with the relevant indicators of complex network centrality,analyzes the status and influence of different investment entities in the mining industry investment system.The fourth chapter,combines the structural characteristics of mining idustry investment network and the central research resultsto study the robustness of the network.The fifth chapter,the effects of edge growth and deletion,distance and policy on the selection of the best are introduced into the BA model,and constructs the evolution model of the international mining industry investment network.Chapter six summarizes the research results and shortcomings of the full paper.The main conclusions of this article are as follows:1 The structural characteristics of the international mining investment system are as follows:(1)The international mining industry investment network from 2002 to 2011 is scale-free;(2)The international mining industry investment network is developing in the direction of homogenization;(3)The mining investment network has a "small world",and the investment relationship between countries(regions)in the investment system is getting closer and closer.2 The centrality of the international mining industry investment network:(1)The United Kingdom,Canada,the United States and Australia have a high influence in the mining industry investment network;(2)China's influence in the mining industry investment network is small,but it is increasing year by year.3 The robustness of the international mining industry investment network:(1)The mining industry investment network showed better robustness in the face of random attacks in 2005;(2)Three different evaluation methods based on the importance of nodes When the mining industry investment network carries out a deliberate attack,the robustness of the mining industry investment network is different.When attacking with node strength,the network has the best robustness,and secondly,when attacking based on the eigenvector centrality score,the network has the worst robustness and the fastest crash rate;(3)The structural characteristics of the mining investment network affect the robustness of the network.The more uniform the network,the better the robustness of the network.4 The evolution model of the international mining industry investment network:(1)Improve the evolution and optimization of the BA model to build an international mining industry investment network evolution model.The network distribution analysis and simulation simulation confirmed that the network obtained by the international mining industry investment network evolution model is a scale-free network;(2)Empirical exercises confirmed that the international mining industry investment network evolution model is more suitable for simulated mining than the BA model The formation of industry investment networks.