无标度网络的相关性和联合度分布Correlations and Joint Degree Distributions of Scale-free Networks
陈庆华;
摘要(Abstract):
研究无标度网络的相关性.关于相邻点对的联合度分布,利用率方程方法把已有的结果推广到BA模型的一般情况.同时使用平均场方法给出任意点对的联合度分布.
关键词(KeyWords): 复杂网络;随机网络;无标度网络;度分布;联合度分布;二维母函数
基金项目(Foundation): 福建省自然科学基金资助项目(Z0511020)
作者(Authors): 陈庆华;
参考文献(References):
- [1]A lbert R,B arabás i A L.S tatistica lm echan ics of com p lex netw orks[J].R ev.M od.Phys.,2002,74:47-97.
- [2]N ewm an M E J.T he structure and function of com p lex netw orks[J].Soc iety for Industria l and A pp liedM athem atics,2003,45:167-256.
- [3]E rdo。s P,Rény iA.O n the evo lu tion of random graphs[J].Pub l.M ath.Inst.Hung.A cad.Sc i.,1960,5:17-61.
- [4]W atts D J,S trogatz S H.Co llective dynam ics of sm a ll-w orld netw orks[J].N ature,1998,393:440-442.
- [5]B arabás i A L,A lbert R.Em ergence of sca ling in random netw orks[J].Sc ience,1999,286,509-512.
- [6]B arabás iA L,A lbert R,Jeong H.M ean-fie ld theory for sca le-free random netw orks[J].Phys ica A,1999,272:173-187.
- [7]A lbert R,Jeong H,B arabás iA L.A ttack and error to lerance of com p lex netw orks[J].N ature,2000,406:378-382.
- [8]K rap ivsky P L,R edner S,L eyvraz F.Connectiv ity of grow ing random netw orks[J].Phys.R ev.L ett.,2000,85:4629-4632.
- [9]D orogovtsev S N,M endes J F F,Sam ukh in A N.S tructure of grow ing netw orks w ith preferen tia l link ing[J].Phys.R ev.L ett.,2000,85:4633-4636.
- [10]Sh i D H(史定华),Chen Q H(陈庆华),L iu L(刘黎明).M arkov cha in-based num erica l m ethod for degreed istribu tions of grow ing netw orks[J].Phys.R ev.,2005,E 71:036140.
- [11]Chen Q H(陈庆华),Sh i D H(史定华).M arkov cha ins theory for sca le-free netw orks[J/OL].Phys ica A,2006,360:121-133.h ttp://www.e lsev ier.com/locate/physa.
- [12]N ewm an M E J.M ix ing patterns in netw orks[J].Phys.R ev.,2003,E 67:026126.
- [13]K rap ivsky P L,R edner S.O rgan ization of grow ing random netw orks[J].Phys.R ev.,2001,E 63:066123.