Abstract
Centrality means the quality or state of staying in the central. Centrality measures in graph theory are used to find the most influential nodes in a graph. Identifying the influential nodes in the truss structures is important to understand the responsible node for design and failure of the structures. Targeting the influential nodes in a structure such as a truss or a mesh is of immense help in optimization of support during actual construction. In this paper, the uses and applications of a planar truss, the elemental clique and skeleton graphs of a Finite Element Mesh (FEM) are discussed. Various sizes of these structures are simulated digitally using python programming language and are analyzed to derive a general formula in order to find the most influential nodes on the basis of degree, closeness, betweenness and eigenvector centrality measures. The findings of this study can be used to provide decision – making support for the analysis, design and optimization of the truss structures.
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