摘要随着经济社会的发展，中小企业的发展逐渐加快，中小企业的发展是社会经济发展中不可或缺的一部分。在我国，中小企业是我国国民经济的重要力量，对扩大就业、活跃市场、增加税收、稳定社会和形成合理的国民经济结构、推动我国经济发展和制度创新中都发挥着不可替代的作用。复杂网络理论是近几年来被广泛研究和运用的一门新型理论，具有很强的发展潜力。本文运用复杂网络理论知识，从市场交易的角度建立企业之间的联系，构建企业关系网络模型。通过对该模型的复杂网络统计特性：平均路径长度、聚类系数和度分布的分析，研究企业关系网络的复杂网络特性，显示出企业关系网的小世界特性，无标度特性以及局域网络特性。得出我国中小企业的发展要在完善自身的基础上，尽可能多和广的与其他企业建立联系，为自身发展打好基础。关键词：复杂网络中小企业发展企业关系网市场交易ABSTRACTWiththesocia-economic’sdeveloping,thedevelopmentofthesmallandmedium-sizedenterprises(SME)isgraduallyspeededup，itisanintegralpartinthesocio-economicdevelopment.InChina,SMEisanimportantforceinChina'snationaleconomy,theexpansionofemployment,activethemarkets,increasetaxrevenue,stabilityandformareasonablesocialandeconomicstructure,andpromoteChina'seconomicdevelopmentandinstitutionalinnovation.Itisplayinganirreplaceablerole.Complexnetworksisanewtheorythatbeingusedandresearchedextensivelyinrecentyears,ithasastrongdeveloppotential.Inthispaper,weusethecomplexnetworks’knowledge,establishthelinkagesbetweenenterprisesfromtheperspectiveofthemarkettransactions,buildabusinessrelationshipnetworkmodel.Throughanalysisingthemodel’sstatisticalpropertiesofcomplexnetworks:theaveragepathlength,clusteringcoefficientanddegreedistribution,andstudyingthecomplexnetworkscharacteristicsoftheenterpriserelationshipsnetwork,showingthatthebusinessrelationshipnetworkhasthecharacteristicofsmall-worldnetwork,scale-freepropertiesandthecharacteristicoflocalareanetwork.TheresultisthedevelopmentofSMEinourcountryshouldbeinthebasicsofimprovingtheirown,andbuildrelationshipswithotherenterprisesasmuchaspossible,inordertolayagoodfoundationfortheirowndevelopment.Keywords:complexnetworksthedevelopmentofSMEbusinessrelationshipnetworkmarkettransaction目录第一章绪论..............................................................................................................11.1选题背景及意义.............................................................................................11.2国内外研究现状..............................................................................................31.3论文研究内容及框架.....................................................................................51.3.1论文内容................................................................................................51.3.2论文框架................................................................................................6第二章复杂网络理论基础........................................................................................72.1复杂网络的研究简史......................................................................................72.1.1七桥问题................................................................................................72.2.2随机图理论............................................................................................72.1.3小世界实验............................................................................................82.1.4弱连接的强度............................................
