We present exact solutions for the size of giant connected component (GCC) graphs composed higher-order homogeneous cycles, including weak cycles and cliques, following bond percolation. use our theoretical result to find location percolation threshold model, providing analytical where possible. expect results derived here be useful a wide variety applications graph theory, epidemiology, lattic...

a graph is textit{symmetric}, if its automorphism group is transitive on the set of its arcs. in this paper, we  classifyall the connected cubic symmetric  graphs of order $36p$  and $36p^{2}$, for each prime $p$, of which the proof depends on the classification of finite simple groups.

Modeling approach to obtain unified, hierarchical and legible model for multidisciplinary system is very important for performance prediction and analysis in complex system design. In this paper, graphic modeling methods, such as the use of block diagrams, bond graphs, functional models and object-oriented models, are reviewed firstly. Then, the modeling methods of bond graphs and functional mo...

Components within micro-scale engineering systems are often at the limits of commercial miniaturization and this can cause unexpected behavior and variation in performance. As such, modelling and analysis of system robustness plays an important role in product development. Here schematic bond graphs are used as a front end in a sensitivity analysis based strategy for modelling robustness in mul...

Mechatronic system design differs from design of singledomain systems, such as electronic circuits, mechanisms, and fluid power systems, in part because of the need to integrate the several distinct domain characteristics in predicting system behavior. The goal of our work is to develop an automated procedure that can explore mechatronic design space in a topologically open-ended manner, yet st...

The paper describes a constraint logic programming approach for reasoning about dynamic physical systems based on structure. The approach takes a bond graph model of a system and computes a causal graph representation of its causal structure. Causal graphs can be used for causal explanations and for explicating the eeect of modeling abstractions on causal structure. The paper shows how causal g...