... in-depth studies on the HPC techniques should be applied in these fields, since gains of up to 722x speedup are achieved in the most favorable scenarios, maintaining an average performance speedup of 454x. Originality/value The paper is new and original. The beginnings of graph theory date back from...

... Publishing Limited 2022 Emerald Publishing Limited Licensed re-use rights only Graph theory Force method Optimization Well conditioning Structural matrices In order to comprehend the behavior of a physical system in general and of a structure in particular, it is necessary to identify...

... reliability problem is a research hotspot to be solved. Design/methodology/approach The graph theory is used to model the MANET communication diagram on the highway and propose a new reliable routing method for internet of vehicles based on graph theory. Findings The expanded graph theory can help...

... theory of graphs are provided. However, for more details one may refer to any text book on graph theory (e.g. Harary, 1969 ; West, 1996). Ant colony system (ACS) and ACO are developed by Dorigo et al. (1996) and Dorigo and Stützle (2005) . In this paper, an ACS algorithm is developed...

... which can be managed by the analyst. One of the major contributions in algebraic graph theory is due to Fiedler (1973) , where the properties of the second eigenvalue and eigenvector of the Laplacian of a graph have been introduced. This eigenvector, known as the Fiedler vector, is used in graph...

...), and then the new value of bandwidth of the graph for the new assignment, BW_AS(G), is obtained from Equation (2). A. Kaveh can be contacted at: alikaveh@iust.ac.ir © Emerald Group Publishing Limited 2009 Bandwidths Graph theory Trees (mathematics) Programming...

...A. Kaveh; K. Laknegadi; M. Zahedi Purpose Domain decomposition of finite element models (FEM) for parallel computing are often performed using graph theory and algebraic graph theory. This paper aims to present a new method for such decomposition, where a combination of algebraic graph theory...

... systems (SESs) (null vectors) are obtained by graph theoretical approaches forming a null basis. Application of unit loads (moments) at the end of the generator of each subgraph results in the corresponding null vector. Findings In the present hybrid method, graph theory is used for the formation...

...A. Kaveh; M. Zahedi; K. Laknegadi Purpose Nodal ordering for the formation of well‐structures stiffness matrices are often performed using graph theory and algebraic graph theory. The purpose of this paper is to present a new method for nodal ordering for profile optimization of finite element...