In this study, the robustness of small-world networks to three types of attack is investigated. Global efficiency is introduced as the network coefficient to measure the robustness of a small-world network. The simula...In this study, the robustness of small-world networks to three types of attack is investigated. Global efficiency is introduced as the network coefficient to measure the robustness of a small-world network. The simulation results prove that an increase in rewiring probability or average degree can enhance the robustness of the small-world network under all three types of attack. The effectiveness of simultaneously increasing both rewiring probability and average degree is also studied, and the combined increase is found to significantly improve the robustness of the small-world network. Furthermore, the combined effect of rewiring probability and average degree on network robustness is shown to be several times greater than that of rewiring probability or average degree individually. This means that small-world networks with a relatively high rewiring probability and average degree have advantages both in network communications and in good robustness to attacks. Therefore, simultaneously increasing rewiring probability and average degree is an effective method of constructing realistic networks. Consequently, the proposed method is useful to construct efficient and robust networks in a realistic scenario.展开更多
In this paper, the general efficiency, which is the average of the global efficiency and the local efficiency, is defined to measure the communication efficiency of a network. The increasing ratio of the general effic...In this paper, the general efficiency, which is the average of the global efficiency and the local efficiency, is defined to measure the communication efficiency of a network. The increasing ratio of the general efficiency of a small-world network relative to that of the corresponding regular network is used to measure the small-world effect quantitatively. The more considerable the small-world effect, the higher the general efficiency of a network with a certain cost is. It is shown that the small-world effect increases monotonically with the increase of the vertex number. The optimal rewiring probability to induce the best small-world effect is approximately 0.02 and the optimal average connection probability decreases monotonically with the increase of the vertex number. Therefore, the optimal network structure to induce the maximal small-world effect is the structure with the large vertex number （〉 500）, the small rewiring probability （≈0.02） and the small average connection probability （〈 0.1）. Many previous research results support our results.展开更多
Through concluding landscape form and its development process,the paper analyzed the value of landscape form and proposed that the study on landscape form should be conducted from the perspective of final cause,effici...Through concluding landscape form and its development process,the paper analyzed the value of landscape form and proposed that the study on landscape form should be conducted from the perspective of final cause,efficient cause and material cause.Finally,it discussed the fashion trend of modern landscape design and put forward the tendency and strategies of correction of landscape form.展开更多
The so-called" China exporting deflation”theory has been popular in the international businesscommunity recently. For example,international businessmagazines such as Us-based Business Week and Britainbased The E...The so-called" China exporting deflation”theory has been popular in the international businesscommunity recently. For example,international businessmagazines such as Us-based Business Week and Britainbased The Economist have discussed the topic of global deflation,in which the impact of floods of low-展开更多
The metropolitan resources comprehensive efficiencies （also called comprehensive technical efficiency, short for CTE, thereafter）, change trends and causes are investigated using DEA and Malmquist index models, resp...The metropolitan resources comprehensive efficiencies （also called comprehensive technical efficiency, short for CTE, thereafter）, change trends and causes are investigated using DEA and Malmquist index models, respectively, in China during the period 1990–2006. Firstly, the DEA model results show that the metropolitan CTE was just fair to middling with the characteristics of almost declining from the Eastern Coastal to Western China, and only few metropolises were DEA efficient. Secondly, the results also show that the PTE was correlated with the urban population sizes of metropolises negatively, and the SE correlated positively with the urban population sizes of metropolises in 1990, 2000 and 2006, that is, with urban population sizes getting larger the corresponding PTE was decreasing accordingly, and the SE was increasing consequently and the increasing rate was smaller with the scale increase. Thirdly, the influencing factors of metropolitan efficiency were SE and PTE in 1990 and 2000, respectively. But the PTE became the predominant influencing factor with the rapid expansions of built-up areas and population scales of metropolises in 2006. Fourthly, the Malmquist index results show that the CTE change trends were increasing weakly, the technological change trends were declining, and the TFP change trends were declining obviously during 1990–2006, in which they were all increasing during the sub-period 1990–2000, and all decreasing during the sub-period 2000–2006. Fifthly, the Malmquist index results also demonstrate that the CTE change trend was increasing weakly in the Eastern Coastal China, declining in Central China, and declining evidently in Western China. And with the urban population size increasing the increasing trends of SE became weaker and weaker. And the main causes for the CTE being not too high and its change trends and TFP change trends being increasing weakly lie mainly in the technological degeneracy and PTE change trends declining significantly during 2000–2006. Finally, the analyses show that the China’s metropolitan population boom and the rapid spread of built-up area had really caused their resources efficiency losses.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61101117 and 61171100)the National Key Scientific and Technological Project of China(Grant Nos.2012ZX03004005002 and 2013ZX03003012)+3 种基金the National High Technology Research and Development Program of China(863 Program,Grant No.2014AA01A701)the Special Youth Science Foundation of Jiangxi Province of China(Grant No.20133ACB21007)the Natural Science Foundation of Jiangxi Province of China(Grant Nos.20132BAB201018 and 20132BAB201018)the Fundamental Research Funds for the Central Universities,China(Grant No.BUPT2012RC0112)
文摘In this study, the robustness of small-world networks to three types of attack is investigated. Global efficiency is introduced as the network coefficient to measure the robustness of a small-world network. The simulation results prove that an increase in rewiring probability or average degree can enhance the robustness of the small-world network under all three types of attack. The effectiveness of simultaneously increasing both rewiring probability and average degree is also studied, and the combined increase is found to significantly improve the robustness of the small-world network. Furthermore, the combined effect of rewiring probability and average degree on network robustness is shown to be several times greater than that of rewiring probability or average degree individually. This means that small-world networks with a relatively high rewiring probability and average degree have advantages both in network communications and in good robustness to attacks. Therefore, simultaneously increasing rewiring probability and average degree is an effective method of constructing realistic networks. Consequently, the proposed method is useful to construct efficient and robust networks in a realistic scenario.
基金Project supported by the National Natural Science Foundation of China (Grant Nos.61101117,61171099,and 61362008)the National Key Scientific and Technological Project of China (Grant No.2012ZX03004005002)+1 种基金the Fundamental Research Funds for the Central Universities,China (Grant No.BUPT2012RC0112)the Natural Science Foundation of Jiangxi Province,China (Grant No.20132BAB201018)
文摘In this paper, the general efficiency, which is the average of the global efficiency and the local efficiency, is defined to measure the communication efficiency of a network. The increasing ratio of the general efficiency of a small-world network relative to that of the corresponding regular network is used to measure the small-world effect quantitatively. The more considerable the small-world effect, the higher the general efficiency of a network with a certain cost is. It is shown that the small-world effect increases monotonically with the increase of the vertex number. The optimal rewiring probability to induce the best small-world effect is approximately 0.02 and the optimal average connection probability decreases monotonically with the increase of the vertex number. Therefore, the optimal network structure to induce the maximal small-world effect is the structure with the large vertex number （〉 500）, the small rewiring probability （≈0.02） and the small average connection probability （〈 0.1）. Many previous research results support our results.
文摘Through concluding landscape form and its development process,the paper analyzed the value of landscape form and proposed that the study on landscape form should be conducted from the perspective of final cause,efficient cause and material cause.Finally,it discussed the fashion trend of modern landscape design and put forward the tendency and strategies of correction of landscape form.
文摘The so-called" China exporting deflation”theory has been popular in the international businesscommunity recently. For example,international businessmagazines such as Us-based Business Week and Britainbased The Economist have discussed the topic of global deflation,in which the impact of floods of low-
基金National Natural Science Foundation of China No.40671054 No.40635026
文摘The metropolitan resources comprehensive efficiencies （also called comprehensive technical efficiency, short for CTE, thereafter）, change trends and causes are investigated using DEA and Malmquist index models, respectively, in China during the period 1990–2006. Firstly, the DEA model results show that the metropolitan CTE was just fair to middling with the characteristics of almost declining from the Eastern Coastal to Western China, and only few metropolises were DEA efficient. Secondly, the results also show that the PTE was correlated with the urban population sizes of metropolises negatively, and the SE correlated positively with the urban population sizes of metropolises in 1990, 2000 and 2006, that is, with urban population sizes getting larger the corresponding PTE was decreasing accordingly, and the SE was increasing consequently and the increasing rate was smaller with the scale increase. Thirdly, the influencing factors of metropolitan efficiency were SE and PTE in 1990 and 2000, respectively. But the PTE became the predominant influencing factor with the rapid expansions of built-up areas and population scales of metropolises in 2006. Fourthly, the Malmquist index results show that the CTE change trends were increasing weakly, the technological change trends were declining, and the TFP change trends were declining obviously during 1990–2006, in which they were all increasing during the sub-period 1990–2000, and all decreasing during the sub-period 2000–2006. Fifthly, the Malmquist index results also demonstrate that the CTE change trend was increasing weakly in the Eastern Coastal China, declining in Central China, and declining evidently in Western China. And with the urban population size increasing the increasing trends of SE became weaker and weaker. And the main causes for the CTE being not too high and its change trends and TFP change trends being increasing weakly lie mainly in the technological degeneracy and PTE change trends declining significantly during 2000–2006. Finally, the analyses show that the China’s metropolitan population boom and the rapid spread of built-up area had really caused their resources efficiency losses.
