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On-chip networks (OCNs) have been proposed to solve the increasing scale and complexity of the designs in nanoscale multicore VLSI designs. The concept of irregular meshes is an important issue because lPs of different sizes may be supported by various vendors. In order to solve routing problems in irregular meshes, modified routing algorithms to detour oversized IPs (OIPs) are needed. However, directly applying fault-tolerant routing algorithms may cause two serious problems: 1) heavy traffic loads around OIPs and 2) unbalanced traffic loads in irregular meshes. In this paper, we propose an OIP Avoidance Prerouting (OAPR) algorithm to solve the aforementioned problems. The proposed OAPR can make traffic loads evenly spread on the networks and shorten the average paths of packets. Therefore, the networks using the OAPR have lower latency and higher throughput than those using faulttolerant routing algorithms. In our experiments, four different cases are simulated to demonstrate that the proposed OAPR improves 13.3 percent to 100 percent sustainable throughputs than two previous fault-tolerant routing algorithms. Moreover, the hardware overhead of the OAPR is less than 1 percent compared to the cost of a whole router. Hence, the proposed OAPR algorithm has good performance and is practical for irregular mesh-based OCNs. [ABSTRACT FROM AUTHOR]

Alternating group graphs AGn, studied by Jwo and others, Constitute a class of Cayley graphs that possess certain desirable properties compared with other regular networks considered by researchers in parallel and distributed computing. A different form, ANn, of such graphs, proposed by Youhou and dubbed alternating group networks, has been shown to possess advantages over AGn. For example, ANn has a node degree that is smaller by a factor of about 2 while maintaining a diameter comparable to that of AGn, is maximally fault-tolerant, and shares some of the positive structural attributes of the well-known star graph. In this paper, we characterize the distance between any two nodes in ANn and present an optimal (shortest-path) routing algorithm for this class of networks. [ABSTRACT FROM AUTHOR]

This paper establishes the state of the art in both deterministic and randomized online permutation routing in the POPS network. Indeed, we show that any permutation can be routed online on a POPS(d, g) network either with O(d/g log g) deterministic slots, or, with high probability, with 5c[d/g] + o(d/g) + O(log log g) randomized slots, where constant c = exp(1 + e-1) ≈ 3.927. When d = ϴ(g), which we claim to be the ‘interesting’ case, the randomized algorithm is exponentially faster than any other algorithm in the literature, both deterministic and randomized ones. This is true in practice as well. Indeed, experiments show that it outperforms its rivals even starting from as small a network as a POPS(2, 2) and the gap grows exponentially with the size of the network. We can also show that, under proper hypothesis, no deterministic algorithm can asymptotically match its performance. [ABSTRACT FROM AUTHOR]