Graph theory : new research / Alessandra Cavalcante, editor.

Format:

Book

Contributor:

Cavalcante, Alessandra.

Series:

Mathematics research developments series.

Computer science, technology and applications

Mathematics Research Developments

Standardized Title:

Graph theory (Nova Science Publishers)

Language:

English

Subjects (All):

Graph theory.

Physical Description:

1 online resource (242 p.)

Place of Publication:

New York : Nova Science Publishers, Inc., 2013.

Language Note:

English

Summary:

Graphs can be used to model many types of relations and process dynamics in physical, biological, social and information systems. Many practical problems can be represented by graphs. In this book, the authors present new research on graph theory including the applications of graph theory in architectural analysis; Miesian intersections and comparing and evaluating graph theory approaches to architectural spatial analysis; the algebraic structure of graphs; the combination of graph theory and unsupervised learning applied to social data mining; organizing and structuring the contents of mathem

Contents:

""GRAPH THEORY. NEW RESEARCH""; ""GRAPH THEORY. NEW RESEARCH""; ""Library of Congress Cataloging-in-Publication Data""; ""Contents""; ""Preface""; ""Chapter 1: Applications of Graph Theory in Architectural Analysis: Past, Present and Future Research""; ""Abstract""; ""Introduction""; ""Graph Theory and Space Syntax""; ""Method 1. Convex Space Analysis""; ""Method 2. Axial Line Analysis""; ""Method 3. Visibility Graph Analysis""; ""Discussion""; ""Conclusion""; ""Acknowledgments""; ""References""

""Chapter 2: Miesian Intersections: Comparing and Evaluating Graph Theory Approaches to Architectural Spatial Analysis""""Abstract""; ""Introduction""; ""Space Syntax Analysis""; ""Mies van der Rohe""; ""Implementing the Method""; ""Convex Space Analysis""; ""Intersection Analysis""; ""Results""; ""Wolf House, Guben, Poland (1925-1927)""; ""Lange House, Krefeld, Germany (1927-1930)""; ""Esters House, Krefeld, Germany (1927-1930)""; ""Lemke House, Berlin, Germany (1932-1933)""; ""Farnsworth House, Plano, Illinois, US, (1945-1951)""; ""Conclusion""; ""Acknowledgments""; ""References""

""Chapter 3: The Algebraic Structure of Graphs """"Abstract""; ""1. Introduction""; ""2. Magmoids""; ""3. The Fundamental Theorem of Graphs""; ""4. Syntactic Recognizability""; ""5. Automaton Recognizability""; ""6. Conclusion""; ""References""; ""Chapter 4: The Combination of Graph Theory and Unsupervised Learning Applied to Social Data Mining""; ""Abstract""; ""1. Introduction""; ""2. Basic Definitions from Graph Theory""; ""3. Data Mining""; ""4. Model Generation: Clustering""; ""5. Complex Network Analysis""; ""6. Applications in Social Networks Analysis""; ""7. Software Tools""

""8. Conclusion""""References""; ""Chapter 5: About Organizing and Structuring the Contents of Mathematical Subjects Using Graph Theory""; ""Abstract""; ""1. Introduction""; ""2. Precedents""; ""3. Our Proposal""; ""4. Computational Approach""; ""5. Conclusion""; ""References""; ""Chapter 6: A Modularity Based Filtering Approach for Network Immunization""; ""Abstract""; ""Introduction""; ""Network Immunization""; ""Modularity Based Filtering""; ""Evaluations""; ""Concluding Remarks""; ""Acknowledgments""; ""References""; ""INDEX""

Notes:

Description based upon print version of record.

Description based on online resource; title from title page (ebrary, viewed August 23, 2013).

Includes bibliographical references at the end of each chapters and index.

ISBN:

1-62808-544-4

OCLC:

855534412