![]() ![]() Both configurations are discussed and connected with the domain partition generated by the set of boundaries, frequently considered when dealing with PWL functions. The other region configuration is derived from the rearrangement in ascending order of the linear components. ![]() In one of those partitions, each region is uniquely determined by one of the linear function. practically meaningful for the realizability of lattice models. In this paper, two domain partitions are proposed that give rise to region configurations. The representation method based on the Lattice Theory, that we call the lattice PWL model, is a form that fits that scheme. Read moreĬontinuous Piecewise-Linear (PWL) functions can be represented by a scheme that selects adequately the linear components of the function without considering explicitly the boundaries. It achieves average improvements on the execution time of 41.57% compared to the Incremental technique and 11.55% compared to the Chained technique. The experimental results show that our technique improves execution times in comparison to existing techniques. Finally, a third algorithm describing the optimization approach is introduced. Then, we propose theorems to deduce a retiming function for the selected paths. Firstly, two efficient algorithms are presented where the first one insures the extraction of timing and data dependency properties of the application and the second one selects the set of data path for retiming. We present the theory of a novel technique, called delayed multidimensional retiming. malism used to prescribe the USt13 view of the process. #EGAR MALIST FULL#In this paper, we show how the minimal cycle period is achieved in multidimensional applications without applying a full parallelism. The representation condition may IJe 1egardcd as the formai definition of whai wc 7nfan by a. number increases in terms of parallelism level which presents a limiting factor to respect the execution time constraint of real-time applications. ![]() Two existing techniques called incremental and chained multidimensional retiming are based on this approach, which aim at achieving a full parallelism on loop body in order to schedule applications with a minimum cycle period. Multidimensional retiming is an efficient optimization approach that ensures increasing a parallelism level in order to optimize the execution time. The results show that comb product of complete grapph Km and path Pn namely pd(Km⊳Pn)=m where m ≥ 3 and n ≥ 2 and pd(Pn⊳Km)=m where m ≥ 3, n ≥ 2 and m ≥ n. In this paper, we will show that the partition dimension of comb product of path and complete graph. Finding the partition dimension of G is classified to be a NP-Hard problem. The minimum k of Π resolving partition is a partition dimension of G, denoted by pd(G). partition Π of V(G) is a resolving partition if different vertices of G have distinct representations, i.e., for every pair of vertices u, v ∈ V(G), r(u|Π) ≠ r(v|Π). For a vertex v of a connected graph G(V, E) with vertex set V(G), edge set E(G) and S ⊆ V(G). ![]()
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