【摘要】：熵可以有效反映復(fù)雜系統(tǒng)內(nèi)網(wǎng)絡(luò)結(jié)構(gòu)的異質(zhì)性.針對(duì)熵指標(biāo)在刻畫(huà)網(wǎng)絡(luò)全局異構(gòu)上是否適用這一問(wèn)題,目前仍缺少用以評(píng)測(cè)的基準(zhǔn)網(wǎng)絡(luò).對(duì)此,在已有結(jié)構(gòu)熵研究的基礎(chǔ)上,提出一種Caveman網(wǎng)絡(luò)構(gòu)造及其演化規(guī)則,為網(wǎng)絡(luò)復(fù)雜性的度量提供新的思路。通過(guò)數(shù)理分析和仿真實(shí)驗(yàn)驗(yàn)證該Caveman網(wǎng)絡(luò)可以有效評(píng)測(cè)各類(lèi)結(jié)構(gòu)熵指標(biāo)對(duì)其演化過(guò)程的敏感性,反映熵指標(biāo)對(duì)網(wǎng)絡(luò)復(fù)雜特征識(shí)別能力的差異。同時(shí)由于Caveman網(wǎng)絡(luò)可以更好地探索信息空間和抵御攻擊,將有助于設(shè)計(jì)魯棒、高效的系統(tǒng)結(jié)構(gòu)。
[Abstract]:Entropy can effectively reflect the heterogeneity of network structure in complex systems. In order to solve the problem of whether entropy index is applicable to describe the global heterogeneity of network, there is still a lack of benchmark network for evaluation. In this paper, based on the study of the existing structure entropy, a new method of Caveman network construction and its evolution rules is proposed, which provides a new idea for the measurement of network complexity. Through mathematical analysis and simulation experiments, it is proved that the Caveman network can effectively evaluate the sensitivity of various structural entropy indexes to its evolution process, and reflect the difference in the ability of entropy index to recognize complex features of the network. At the same time, because Caveman network can better explore information space and resist attacks, it will be helpful to design a robust and efficient system structure.
【作者單位】： 西安電子科技大學(xué)經(jīng)濟(jì)與管理學(xué)院;西安交通大學(xué)公共管理與復(fù)雜性科學(xué)研究中心;斯坦福大學(xué)莫里森人口與資源研究所;
【基金】：國(guó)家自然科學(xué)基金(71501153) 國(guó)家社會(huì)科學(xué)基金重點(diǎn)項(xiàng)目(12AZD110) 陜西省軟科學(xué)研究計(jì)劃(2015KRM051) 中央高�；究蒲袠I(yè)務(wù)費(fèi)專(zhuān)項(xiàng)資金(JB150602)~~
【分類(lèi)號(hào)】：O157.5
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本文編號(hào)：2283477