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On the difficulty of Manhattan channel routing

Ronald Greenberg, Joseph Jájá, Sridhar Krishnamurthy
1992 Information Processing Letters  
We show that channel routing in the Manhattan model remains di cult even when all nets are single-sided.  ...  Given a set of n single-sided nets, we consider the problem of determining the minimum number of tracks required to obtain a dogleg-free routing.  ...  We consider the Manhattan model, where the horizontal segments of a wire are on one layer and the vertical segments are on the other layer.  ... 
doi:10.1016/0020-0190(92)90214-g fatcat:nkciercteng2zhwzhywakjoruy

Octilinear redistributive routing in bump arrays

Renshen Wang, Chung-Kuan Cheng
2009 Proceedings of the 19th ACM Great Lakes symposium on VLSI - GLSVLSI '09  
Experimental results show the effectiveness of our router.  ...  Traditional RDL routing designs are mostly performed manually because the wire geometries are more flexible and therefore more difficult to handle on RDL than on chip.  ...  Compared with on-chip routing, RDL routing has the freedom of interchanging the destinations of the pads which makes it easier, but also has the difficulty of placing wires with different directions in  ... 
doi:10.1145/1531542.1531591 dblp:conf/glvlsi/WangC09 fatcat:ckovzsy7hzhlzc2z3glh6fag74

Novel routing schemes for IC layout part I

Deborah C. Wang
1991 Proceedings of the 28th conference on ACM/IEEE design automation conference - DAC '91  
Non-Manhattan wires as well as overlapping wires are introduced. preliminary results show that a class of channel routing problems can be routed in height less than the Manhattan density.  ...  We present new channel routing algorithms and theory that consider the characteristic of net crossings. The routing strategy is basedon parallel bubble sorting and river routing techniques.  ...  Intuitively, the POTENTIAL function measures the degree of difficulty for a given channel routing problem.  ... 
doi:10.1145/127601.127626 dblp:conf/dac/Wang91 fatcat:trrlg5kjsngope3busp3iqon3q

An approximation algorithm for manhattan routing

Brenda S. Baker, Sandeep N. Bhatt, Frank Thomson Leighton
1983 Proceedings of the fifteenth annual ACM symposium on Theory of computing - STOC '83  
Acknowledgements We would like to thank the following people for helpful discussions: Donna Brown, Dave Deutsch, Gary Miller, Ron Pinter, Franco Preparata, and Ron Rivest.  ...  An important measure of a channel routing problem's difficulty is its density. The density ofa problem is the maximum number of nets that are split by any vertical cut of the channel.  ...  )Channel roting plays a central role in the development or automated layout systems for integrated circuits. One of the most common models for channel routing is known as Manhattan routing .  ... 
doi:10.1145/800061.808779 dblp:conf/stoc/BakerBL83 fatcat:nnkqapevovgfdflsjt6brwki6e

Routing multiterminal nets on a hexagonal grid

Xuehou Tan, Xiaoyu Song
1999 Discrete Applied Mathematics  
Channel routing is a vital task in the layout design of VLSI circuits. Multiterminal channel routing is different from two-terminal one.  ...  We present an efficient algorithm for routing multiterminal nets on a channel of width d + 3, where d is the problem density.  ...  To evaluate the interest on TSM, let us compare it with the other routing models. For both Manhattan and knock-knee routing models [ 1, 171, density d is a lower bound on channel width.  ... 
doi:10.1016/s0166-218x(98)00093-6 fatcat:gttq5gplyzhqhk66ovklwcryya

Page 476 of Civil Engineering Vol. 2, Issue 8 [page]

1932 Civil Engineering  
How engineers have surmounted these difficulties is told here by one of the administrative officers of the interstate governing body of the port.  ...  Trade, both national and inter- national, flows in certain well defined channels or trade routes carved out by centuries of practical experience.  ... 

Diagonal routing in high performance microprocessor design

Noriyuki Ito, Kinya Ishizaka, Hiroaki Adachi, Yutaka Mori, Yutaka Isoda, Yaroku Sugiyama, Hideaki Katagiri, Ryoichi Yamashita, Hiroshi Ikeda, Hiroyuki Sugiyama, Hiroaki Komatsu, Yoshiyasu Tanamura (+2 others)
2006 Proceedings of the 2006 conference on Asia South Pacific design automation - ASP-DAC '06  
While including the layout functions for the conventional Manhattan routing with horizontal and vertical directions, a new diagonal routing capability is added as one of the routing functions.  ...  When the diagonal routing is applied to a critical path, path delay is improved by as much as about 14 pico-seconds per net on a path. This improvement is more than the delay of a gate with no load.  ...  ACKNOWLEDGMENTS We would like to thank Toshiyuki Shibuya and Kaoru Kawamura and other researchers in the CAD group of Fujitsu Laboratories for their enhancement of the automatic routing engine.  ... 
doi:10.1145/1118299.1118446 fatcat:5w46l2wndjaexmd23yzgykf2u4

Page 7110 of Mathematical Reviews Vol. , Issue 97K [page]

1997 Mathematical Reviews  
These results shed more insight into the difficulty of the channel routing problem if an optimal solution is sought.  ...  Manhattan channel routing is NP-complete under truly restricted settings.  ... 

A Multi-Terminal Net Router for Field-Programmable Gate Arrays

Dinesh Bhatia, Amit Chowdhary
1996 VLSI design (Print)  
The router does not require pre-assignment of routing channels, a phase that is normally accomplished during global routing.  ...  The memory requirements for this router are very low. The time needed for the routing is linear with respect to the size of the circuit.  ...  Acknowledgement We would like to thank Jonathan Rose and Stephen Brown of the University of Toronto for providing us with the code of the CGE router and the benchmark circuits. We also thank Ms.  ... 
doi:10.1155/1996/79127 fatcat:sjsi5k7ip5fr5ca25kpb2kvlfy

A Global Routing Algorithm for General Cells

G.W. Clow
1984 21st Design Automation Conference Proceedings  
Instead of breaking the routing surface up into channels, a maze search finds acceptable global routes while avoiding the blocks. Both multi-pin terminals and multi-terminal nets are accomodated.  ...  An algorithm is presented which accomplishes the global routing for a building block or general cell routing problem.  ...  The inherent difficulty of the channel decomposition process is compounded by pin-splittin~ 2,1 and inter-channel inter]create, and avoiding the whole problem seems to be a good solution.  ... 
doi:10.1109/dac.1984.1585771 fatcat:ywhjr3zjtnb4tiw7ebwkbgkmne

A Fault-Tolerant Structure for Nano-Power Communication Based on the Multidimensional Crossbar Switch Network

Jun Luo, Boxun Liao, Nagamalai Vasimalai
2022 International Transactions on Electrical Energy Systems  
The authors' design is superior and improves the reliability of the 3DNoC system.  ...  In order to realize fault tolerance and further reduce the transmission delay, a fault-tolerant structure design method for nano-power communication based on a multidimensional crossbar switch network  ...  Acknowledgments is study is funded by the Construction of Electronic Information Experimental Teaching Demonstration Center Project of the Guangdong Undergraduate University Teaching Quality and Teaching  ... 
doi:10.1155/2022/4783847 fatcat:j46esqvkcndbnattrw35ratraq

The SFRA

Nicholas Weaver, John Hauser, John Wawrzynek
2004 Proceeding of the 2004 ACM/SIGDA 12th international symposium on Field programmable gate arrays - FPGA '04  
The SFRA routing and retiming tools also run one to two orders of magnitude faster than their Xilinx counterparts.  ...  We have developed a novel approach, called a "corner-turn" interconnect, based on a Manhattan array of logically depopulated Sboxes with full connectivity but limited routability.  ...  Parameters of the architecture include the number of signals in each channel (the channel capacity), and the number of bits routed as a unit (the bitwidth or granularity).  ... 
doi:10.1145/968280.968283 dblp:conf/fpga/WeaverHW04 fatcat:r5uyvrc66bf2dgfugk6abllkiu

Nicaragua or Panama

1901 Scientific American  
On the question of the relative difficulty of constructing the great dams which are the essential features of each project, Mr.  ...  In this connection it is asked, "What will be the effect of this great fall of water on the canal channel where this channel lies in the bed of the San Juan River?" THE QUESTION OF SILT.  ... 
doi:10.1038/scientificamerican12211901-406a fatcat:6du7umnp5ffvdaauqxngzs2vya

Pennsylvania Railroad Terminal Station and Tunnel

1901 Scientific American  
On the question of the relative difficulty of constructing the great dams which are the essential features of each project, Mr.  ...  In this connection it is asked, "What will be the effect of this great fall of water on the canal channel where this channel lies in the bed of the San Juan River?" THE QUESTION OF SILT.  ... 
doi:10.1038/scientificamerican12211901-406 fatcat:euphlkxodzcwbchwnntmccocq4

Multi-Media and Multi-Band Based Adaptation Layer Techniques for Underwater Sensor Networks

Delphin Raj K M, Sun-Ho Yum, Eunbi Ko, Soo-Young Shin, Jung-Il Namgung, Soo-Hyun Park
2019 Applied Sciences  
For the channel selection mechanism, two phases are involved: 1. Finding the distance of near and far nodes using Manhattan method, and 2.  ...  The transmission of data starts from sensor nodes to surface gateway in a hierarchical manner through multiple channels.  ...  This method is used for energy balancing in underwater routing techniques. Its major disadvantage is the difficulty of finding the position of the node due to node mobility.  ... 
doi:10.3390/app9153187 fatcat:upz6pxry6fc6fnuo3qa6nupkfq
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