异质的K核心在超图上透
Dandan Zhao1, Wenjia Xi1, Bo Zhang2,3
1School of Computer Science and Technology, Zhejiang Normal University, Jinhua 321004, Zhejiang, China.
Chaos (Woodbury, N.Y.)
|March 27, 2025
概括
本研究介绍了复杂系统的超边缘K核心透模型,揭示了异质性参数对攻击下的网络稳定性和相位过渡有重大影响.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络科学 网络科学
- 统计物理 统计物理
背景情况:
- 复杂系统表现出通过超图形描述的相互作用.
- K-core 透分析了系统对攻击的稳定性,但缺乏对节点异质性的超图理论研究.
研究的目的:
- 为包含异质性的超图开发一个超边缘K核心透模型.
- 调查异质性参数对网络稳定性和相位转换的影响.
主要方法:
- 构建了一个具有异质性参数的超边缘K核心透模型.
- 将随机超图映射到因子图,以分析巨型连接组件和透值.
- 进行了广泛的模拟实验,以验证理论发现.
主要成果:
- 理论预测与模拟结果非常相匹配.
- 异质性参数显著影响巨型连接组件的大小和相位过渡类型.
- 减少异质性会增加网络的脆弱性;增加它会增强弹性.
结论:
- 拟议的模型有效地捕捉了异质性对超图强度的影响.
- 异质性参数提供了一个可调节的机制,以控制网络抵御级联故障的弹性.
- 异质性的减少可能导致混合相位过渡,改变网络行为.
相关概念视频
Network Covalent Solids
13.3K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
13.3K
Reynolds Transport Theorem
765
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
765
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
Second Uniqueness Theorem
951
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
951
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
286
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
286
Pore Size Distribution
79
In concrete, the pore size distribution significantly influences the material's properties. Capillary pores, markedly larger than gel pores, form a vast network within partially hydrated cement paste, reducing the concrete's strength and increasing its permeability. This heightened permeability leads to a greater risk of damage from environmental factors like freeze-thaw cycles and chemical attacks, with the extent of vulnerability also being tied to the water-to-cement ratio.
Adequate...
Adequate...
79


