Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Introduction to Graph Theory and Algebraic Graph Theory
In this chapter, basic concepts and definitions of graph theory are presented. Since some of the readers may be unfamiliar with the theory of graphs, simple examples are included to make it easier to follow the main concepts. Some of the uses of the theory of graphs in the context of civil engineering are as follows. A graph can be the model of a structure, a hydraulic network, a traffic network, a transportation system, a construction system, or a resource allocation system, or any other system. In this book the theory of graphs is utilized as the model of a skeletal structure and it is also employed as a means for transforming the connectivity properties of the finite element meshes to those of graphs. Many such graphs are defined and employed throughout the combinatorial optimizations performed for optimal analysis of skeletal structures and finite element models. This section will also enable the readers to develop their own ideas and methods in light of the graph theory principles.
Introduction to Graph Theory and Algebraic Graph Theory
In this chapter, basic concepts and definitions of graph theory are presented. Since some of the readers may be unfamiliar with the theory of graphs, simple examples are included to make it easier to follow the main concepts. Some of the uses of the theory of graphs in the context of civil engineering are as follows. A graph can be the model of a structure, a hydraulic network, a traffic network, a transportation system, a construction system, or a resource allocation system, or any other system. In this book the theory of graphs is utilized as the model of a skeletal structure and it is also employed as a means for transforming the connectivity properties of the finite element meshes to those of graphs. Many such graphs are defined and employed throughout the combinatorial optimizations performed for optimal analysis of skeletal structures and finite element models. This section will also enable the readers to develop their own ideas and methods in light of the graph theory principles.
Introduction to Graph Theory and Algebraic Graph Theory
Kaveh, Ali (Autor:in)
Topological Transformations for Efficient Structural Analysis ; Kapitel: 2 ; 5-21
24.10.2022
17 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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