On Topological Indices for New Classes of Benes Network

Topological indices (TIs) transform a molecular graph into a number. The TIs are a vital tool for quantitative structure activity relationship (QSAR) and quantity structure property relationship (QSPR). In this paper, we constructed two classes of Benes network: horizontal cylindrical Benes network HCB r and vertical cylindrical Benes network obtained by identification of vertices of first rows with last row and first column with last column of Benes network, respectively. We derive analytical close formulas for general Randić connectivity index, general Zagreb, first and the second Zagreb (and multiplicative Zagreb), general sum connectivity, atom-bond connectivity ( VCB r ), and geometric arithmetic ABC index of the two classes of Benes networks. Also, the fourth version of GA and the fifth version of ABC indices are computed for these classes of networks.

Total Irregular Labelling Of Butterfly and Beneš Network 5-Dimension

This paper aims to determine the total vertex irregularity strength and total edge irregularity strength of Butterfly and Beneš Network 5-Dimension. The determination of the total vertex irregularity strength and the edge irregularity strength was conducted by determining the lower bound and upper bound. The lower bound was analyzed based on characteristics of the graph and other proponent theorems, while upper bound was analyzed by constructing the function of the irregular total labeling. The result show that the total vertex irregularity strength of Butterfly Network , the total edge irregularity strength . The total vertex irregularity strength of Beneš Network , the total edge irregularity strength

Design and Implementation of Rearrangable Non-Blocking Switching Network in VLSI

The main goal of this article is to implement an effective Non-Blocking Benes switching Network. Benes Switching Network is designed with the uncomplicated switch modules & it’s have so many advantages, small latency, less traffic and it’s required number of switch modules. Clos and Benes networks are play a key role in the class of multistage interconnection network because of their extensibility and mortality. Benes network provides a low latency when compare with the other networks. 8x8 Benes non blocking switching network is designed and synthesized with the using of Xilinx tool 12.1.

Six-port optical switch for cluster-mesh photonic network-on-chip

Photonic network-on-chip for high-performance multi-core processors has attracted substantial interest in recent years as it offers a systematic method to meet the demand of large bandwidth, low latency and low power dissipation. In this paper we demonstrate a non-blocking six-port optical switch for cluster-mesh photonic network-on-chip. The architecture is constructed by substituting three optical switching units of typical Spanke-Benes network to optical waveguide crossings. Compared with Spanke-Benes network, the number of optical switching units is reduced by 20%, while the connectivity of routing path is maintained. By this way the footprint and power consumption can be reduced at the expense of sacrificing the network latency performance in some cases. The device is realized by 12 thermally tuned silicon Mach-Zehnder optical switching units. Its theoretical spectral responses are evaluated by establishing a numerical model. The experimental spectral responses are also characterized, which indicates that the optical signal-to-noise ratios of the optical switch are larger than 13.5 dB in the wavelength range from 1525 nm to 1565 nm. Data transmission experiment with the data rate of 32 Gbps is implemented for each optical link.

MaxDDBS Problem on Beneš Network

Maximum degree-diameter bounded subgraph problem is a problem of constructing the largest possible subgraph of given degree and diameter in a graph. This problem can be considered as a degree-diameter problem restricted to certain host graphs. The MaxDDBS problem with Beneš network as the host graph is discussed in this paper. Beneš network contains a back-to-back buttery network. Even though both networks have maximum degree 4, the structure of their maximum subgraphs are different. We give the constructive lower bound of the largest subgraph of Beneš network of various maximum degrees.