You are here

Graph Algebra

Graph Algebra
Mathematical Modeling With a Systems Approach

September 2007 | 104 pages | SAGE Publications, Inc
Derived from engineering literature that uses similar techniques to map electronic circuits and physical systems, graph algebra utilizes a systems approach to modelling that offers social scientists a variety of tools that are both sophisticated and easily applied.
Series Editor's Introduction
1. Systems Analysis
Structure and Function

An Overview of the Substantive Examples Found in Subsequent Chapters

2. Graph Algebra Basics
Inputs, Outputs, and the Forward Path

Feedback Loops and Mason's Rule

An Example From Economics: The Keynesian Multiplier

3. Graph Algebra and Discrete-Time Linear Operators
Delay and Advance Operators for Discrete Time

Including an Additive Constant With Graph Algebra

Difference and Summation Operators for Discrete Time

An Estimated Example: Labor Union Membership

4. Working With Systems of Equations
Richardson's Arms Race Model Using Graph Algebra

Variations of Richardson's Arms Race Model

An Estimated Example of a Multiple-Equation System With Nonlinear or Embedded Parameters: Richardson's Arms Race

5. Applying Graph Algebra to Continuous Time
Using Graph Algebra With Continuous-Time Operators

6. Graph Algebra and Nonlinearity
Nonlinear Filters

The Logistic Function

Placement Rules for Operators in Nonlinear Models

Graph Algebra and Chaos

Forced Oscillators

7. Working With Conditional Paths
Logical and Decision Systems

An Example of Democratic Transition

8. Systems, Shocks, and Stochasticity
9. Graph Algebra and Social Theory
Systems and Equilibria

About the Author

"Brown is well known for research on mathematical modeling in the social sciences.  His book introduces the graph algebra approach to modeling systems in the social sciences."


B. Borchers
New Mexico Institute of Mining and Technology

For instructors

This book is not available as an inspection copy. For more information contact your local sales representative.

Purchasing options

Please select a format:

ISBN: 9781412941099

SAGE Research Methods is a research methods tool created to help researchers, faculty and students with their research projects. SAGE Research Methods links over 175,000 pages of SAGE’s renowned book, journal and reference content with truly advanced search and discovery tools. Researchers can explore methods concepts to help them design research projects, understand particular methods or identify a new method, conduct their research, and write up their findings. Since SAGE Research Methods focuses on methodology rather than disciplines, it can be used across the social sciences, health sciences, and more.

With SAGE Research Methods, researchers can explore their chosen method across the depth and breadth of content, expanding or refining their search as needed; read online, print, or email full-text content; utilize suggested related methods and links to related authors from SAGE Research Methods' robust library and unique features; and even share their own collections of content through Methods Lists. SAGE Research Methods contains content from over 720 books, dictionaries, encyclopedias, and handbooks, the entire “Little Green Book,” and "Little Blue Book” series, two Major Works collating a selection of journal articles, and specially commissioned videos.