عنوان

A survey of fractal dimensions of networks /

شابک

3319900471

شابک

9783319900476

شابک اشتباه

3319900463

شابک اشتباه

9783319900469

عنوان اصلي

A survey of fractal dimensions of networks /

نام عام مواد

[Book]

نام نخستين پديدآور

Eric Rosenberg.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

عنوان فروست

SpringerBriefs in computer science

متن يادداشت

Includes bibliographical references.

متن يادداشت

Intro; Preface; About the Author; Contents; 1 Introduction; 1.1 Tables of Symbols; 1.2 Box Counting and Hausdorff Dimensions; 2 Covering a Complex Network; 2.1 Box Counting with Diameter-Based or Radius-Based Boxes; 3 Network Box Counting Heuristics; 3.1 Node Coloring Formulation; 3.2 Node Coloring for Weighted Networks; 3.3 Random Sequential Node Burning; 3.4 Set Covering Formulation and a Greedy Method; 3.5 Box Burning; 3.6 Box Counting for Scale-Free Networks; 4 Lower Bounds on Box Counting; 4.1 Mathematical Formulation; 4.2 Dual Ascent and Dual Adjustment

متن يادداشت

4.3 Bounding the Fractal Dimension5 Correlation Dimension; 6 Mass Dimension for Infinite Networks; 6.1 Transfinite Fractal Dimension; 7 Volume and Surface Dimensions for Infinite Networks; 8 Information Dimension; 9 Generalized Dimensions; 10 Non-monotonicity of Generalized Dimensions; 11 Zeta Dimension; References

بدون عنوان

0

بدون عنوان

8

متن يادداشت

Many different fractal dimensions have been proposed for networks. In A Survey of Fractal Dimensions of Networks the theory and computation of the most important of these dimensions are reviewed, including the box counting dimension, the correlation dimension, the mass dimension, the transfinite fractal dimension, the information dimension, the generalized dimensions (which provide a way to describe multifractals), and the sandbox method (for approximating the generalized dimensions). The book describes the use of diameter-based and radius-based boxes, and presents several heuristic methods for box counting, including greedy coloring, random sequential node burning, and a method for computing a lower bound. We also discuss very recent results on resolving ambiguity in the calculation of the information dimension and the generalized dimensions, and on the non-monotonicity of the generalized dimensions. Anyone interested in the theory and application of networks will want to read this Brief. This includes anyone studying, e.g., social networks, telecommunications networks, transportation networks, ecological networks, food chain networks, network models of the brain, or financial networks.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783319900476

شماره استاندارد بين المللي کتاب و موسيقي

9783319900469

موضوع مستند نشده

Fractal analysis.

موضوع مستند نشده

System analysis.

موضوع مستند نشده

COMPUTERS-- Computer Literacy.

موضوع مستند نشده

COMPUTERS-- Computer Science.

موضوع مستند نشده

COMPUTERS-- Data Processing.

موضوع مستند نشده

COMPUTERS-- Hardware-- General.

موضوع مستند نشده

COMPUTERS-- Information Technology.

موضوع مستند نشده

COMPUTERS-- Machine Theory.

موضوع مستند نشده

COMPUTERS-- Reference.

موضوع مستند نشده

Fractal analysis.

موضوع مستند نشده

System analysis.

موضوع مستند نشده

COM-- 013000

موضوع مستند نشده

COM-- 014000

موضوع مستند نشده

COM-- 018000

موضوع مستند نشده

COM-- 032000

موضوع مستند نشده

COM-- 037000

موضوع مستند نشده

COM-- 052000

موضوع مستند نشده

COM-- 067000

موضوع مستند نشده

UKN

موضوع مستند نشده

UKN

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Rosenberg, Eric

تاريخ عمليات

20200823115133.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y