Graph Theory: New Research


Alessandra Cavalcante (Editor)

Series: Mathematics Research Developments, Computer Science, Technology and Applications
BISAC: MAT008000

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 mathematical subjects using graph theory; and a modularity-based filtering approach for network immunization. (Imprint: Nova)




Table of Contents


Applications of Graph Theory in Architectural Analysis: Past, Present and Future Research
(Michael J. Dawes, Michael J. Ostwald, School of Architecture and Built Environment, The University of Newcastle, Callaghan, NSW, Australia)

Miesian Intersections: Comparing and Evaluating Graph Theory Approaches to Architectural Spatial Analysis
(Michael J. Ostwald, Michael J. Dawes, The University of Newcastle, New South Wales, Australia)

The Algebraic Structure of Graphs
(Antonios Kalampakas, Vassilios Tsiantos, Department of Production Engineering and Management, Democritus University of Thrace, Xanthi, Greece, and others)

The Combination of Graph Theory and Unsupervised Learning Applied to Social Data Mining
(Hector D. Menendez, Jose Luis Llorente, Universidad Autonoma de Madria, Escuela Politecnica Superior, Cantoblanco, Madrid, Spain)

About Organizing and Structuring the Contents of Mathematical Subjects using Graph Theory
(Angelica Martinez-Zarzuelo, Eugenio Roanes-Lozano, Maria Jose Fernandez-Diaz, Depto. de Evaluacion y Analisis de Datos, Instituto Nacional de Evaluacion Educativa, Ministerio de Education, Cultura y Deporte, Madrid, Spain, and others)

A Modularity Based Filtering Approach for Network Immunization
(Tetsuya Yoshida, Yuu Yamada, Graduate School of Information Science and Technology, Hokkaido University, Japan)


Additional information