【摘要】：為擴(kuò)展復(fù)雜網(wǎng)絡(luò)模型并探討網(wǎng)絡(luò)的新特征,研究了隨機(jī)復(fù)雜網(wǎng)絡(luò)的統(tǒng)計(jì)性質(zhì).在以兩種菱形為結(jié)構(gòu)單元的彭羅斯拼圖的基礎(chǔ)上,增加頂點(diǎn)的隨機(jī)連接,其連接概率與頂點(diǎn)的類(lèi)型有關(guān),由此構(gòu)造出部分隨機(jī)的復(fù)雜網(wǎng)絡(luò).用解析和數(shù)值方法計(jì)算了網(wǎng)絡(luò)的主要特征參數(shù).結(jié)果表明:度分度、節(jié)點(diǎn)間平均距離和網(wǎng)絡(luò)集群系數(shù)與一般隨機(jī)網(wǎng)絡(luò)接近,但具體變化規(guī)律有所不同.由此可見(jiàn),準(zhǔn)周期復(fù)雜網(wǎng)絡(luò)既有一般網(wǎng)絡(luò)的共性,也有更為豐富的其他特征.
[Abstract]:In order to extend the complex network model and discuss the new characteristics of the network, the statistical properties of stochastic complex networks are studied. On the basis of Penrose jigsaw puzzle with two kinds of rhomboids as structural elements, the random connection of vertices is increased, and the connection probability is related to the type of vertices, and a partially random complex network is constructed. The main characteristic parameters of the network are calculated by analytical and numerical methods. The results show that the degree, the average distance between nodes and the network cluster coefficient are close to those of the general random network, but the specific variation rules are different. Thus it can be seen that quasi-periodic complex networks not only have the commonness of general networks, but also have more abundant other characteristics.
【作者單位】： 華南理工大學(xué)物理與光電學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(11674102)~~
【分類(lèi)號(hào)】：O157.5

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相關(guān)碩士學(xué)位論文 前2條

1 彭本義;彭羅斯拼圖的構(gòu)型及變換性質(zhì)[D];華南理工大學(xué);2015年

2 彭彩霞;基于彭羅斯拼圖的復(fù)雜網(wǎng)絡(luò)的統(tǒng)計(jì)性質(zhì)[D];華南理工大學(xué);2016年

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本文編號(hào)：2503660