A More Strict Definition of Steady State Degree Distribution

نویسندگان

  • Xiaojun Zhang
  • Zheng He
چکیده

Accurate definitions of related concepts are prerequisite for further understanding of evolving network. To be an important concept, steady state degree distribution has been widely used. However, as we find out, all current definitions have a common default from mathematics point of view. In this paper, we first point out the shortcoming of current definitions through a special type of evolving network, and then provide a more strict definition of steady state degree distribution from stochastic process point of view.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Several new results based on the study of distance measures of intuitionistic fuzzy sets

It is doubtless that intuitionistic fuzzy set (IFS) theory plays an increasingly important role in solving the problems under uncertain situation. As one of the most critical members in the theory, distance measure is widely used in many aspects. Nevertheless, it is a pity that part of the existing distance measures has some drawbacks in practical significance and accuracy. To make up for their...

متن کامل

Steady Flow Analysis and Modeling of the Gas Distribution Network Using the Electrical Analogy (RESEARCH NOTE)

The mathematical modeling of a gas network is a powerful tool in order to identify the behavior of system under the different conditions. The modeling can be performed both for the steady state and unsteady state conditions. It is possible to use the fluid flow basic governing equations or the electrical analogy concept for developing the model. The second approach provides a simpler and more r...

متن کامل

Availability of k-out-of-n: F Secondary Subsystem with General Repair Time Distribution

In this paper we study the steady state availability of main k-out-of-n: F and secondary subsystems having general repair time distribution. When more than k units of main subsystem fail, then the main subsystem shuts off the secondary subsystem. The life time distributions of the main units and that of secondary subsystem are exponentially distributed. A repair facility having single repairman...

متن کامل

Optimal Pareto Parametric Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method

Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...

متن کامل

The Response of Two-Degree of Freedom Self-Sustained Systems with Quadratic Nonlinearities to a Parametric Excitation (RESEARCH NOTE)

In this study the interaction between self-excited and paramet rically excited oscillations in two-degree-of-freedom systems with quadratic nonlinearities is investigated. The fundamental parametric resonance of the first mode and 3:1 internal resonance is considered, followed by 1:2 internal and parametric resonances of the second mode. The method of multiple time scales is applied to derive f...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009