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In this paper, construct the graph model expressed the debt relations by graph theory method.Give a system method for analysing the debt relations and resolving "the debt chain" and "the tripartite debt" .This method is simple and easy.It can make regional disposal according to differe.nt systems of organizations. 本文利用图论方法建立了表达债权债务关系的图论模型,给出了分析债务关系、分解“债务链”与“三角债”的系统方法。该方法简单易行,並可根据不同管理体制进行区域性处理。 Triangle debts means of complex debt relations among a few firms.They owe debts each other.In this paper a mathematical model of Triangle debts is established and studied with debt transformers defined.The results are that the debt transformers which connected only three debtors and creditors can delete all the debts owed each others multiple,and the debt transformers which connected only four debtors... Triangle debts means of complex debt relations among a few firms.They owe debts each other.In this paper a mathematical model of Triangle debts is established and studied with debt transformers defined.The results are that the debt transformers which connected only three debtors and creditors can delete all the debts owed each others multiple,and the debt transformers which connected only four debtors and creditors can lead out the simplest debt relations. 从清理三角债的角度,对三角债建立数学模型并进行初步的研究。研究结果表明,通过仅涉及三方的债务归结就可以消除所有的三角债务,即多边的相互拖欠债务关系;通过仅涉及四方的债务交换,就可以整理得到一种最简单的债务关系 Triangle-debts means of complex debt relations among a few firms.They owe debts each other.In this paper a network model of complex debt relations is built.And based on it an algorithm of finding out the method of using limited funds dlearing of debts effectively is presented. 建立了三角债(企业间相互拖欠形成的复杂债务关系)的网络模型。并在此基础上提出了一种有效利用注入资金清理债务的算法。
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