Award Abstract # 1015804
SHF: Small: Interconnection Networks: Topological Properties and Communication Algorithms

NSF Org: CCF
Division of Computing and Communication Foundations
Recipient: OREGON STATE UNIVERSITY
Initial Amendment Date: September 15, 2010
Latest Amendment Date: December 7, 2010
Award Number: 1015804
Award Instrument: Standard Grant
Program Manager: Tao Li
CCF
 Division of Computing and Communication Foundations
CSE
 Directorate for Computer and Information Science and Engineering
Start Date: September 15, 2010
End Date: August 31, 2015 (Estimated)
Total Intended Award Amount: $200,006.00
Total Awarded Amount to Date: $206,006.00
Funds Obligated to Date: FY 2010 = $200,006.00
FY 2011 = $6,000.00
History of Investigator:
  • Bella Bose (Principal Investigator)
    bose@eecs.orst.edu
  • Mary Flahive (Co-Principal Investigator)
Recipient Sponsored Research Office: Oregon State University
1500 SW JEFFERSON AVE
CORVALLIS
OR  US  97331-8655
(541)737-4933
Sponsor Congressional District: 04
Primary Place of Performance: Oregon State University
1500 SW JEFFERSON AVE
CORVALLIS
OR  US  97331-8655
Primary Place of Performance
Congressional District:
04
Unique Entity Identifier (UEI): MZ4DYXE1SL98
Parent UEI:
NSF Program(s): Software & Hardware Foundation,
COMPUTER ARCHITECTURE,
DES AUTO FOR MICRO & NANO SYST
Primary Program Source: 01001011DB NSF RESEARCH & RELATED ACTIVIT
01001112DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7941, 9218, 9251, HPCC
Program Element Code(s): 779800, 794100, 794500
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.070

ABSTRACT

Recent advances in technology have made the design of parallel computers with thousands of processors more feasible. Consequently, the study of different networks for linking processors is an integral part of the design of high-performance computers. This project will study the interconnection topologies of three important families of networks from the point of view of network efficiency. Examples of the type of problems to be considered include: algorithms for efficient communication among processors; effective placement of scarce or otherwise limited resources; and fault-tolerant communication algorithms in the presence of node/link failures. In addition to facilitating graduate training, the project would provide detailed insight for understanding various tradeoffs in designing interconnection networks for large multiprocessor architectures.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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B. AlBader, B. Bose and M. Flahive "Efficient communication algorithms in hexagonal mesh interconnection networks" IEEE Transactions on Parallel and Distributed Computing , v.23 , 2012 , p.69-77
B. AlBader, B. Bose and M. Flahive "Efficient communication algorithms in hexagonal mesh interconnection networks" IEEE Transactions on Parallel and Distributed Systems , v.23 , 2012 , p.69 January 2012
M. Flahive and B. Bose "On resource placement in Gaussian and EJ interconnection networks" IEEE Transactions on Computers , v.Vol. 62 , 2013 , p.623-626
M. Flahive and B. Bose "On resource placements in Gaussian and EJ networks" IEEE Transactions on Computers , v.62 , 2013 , p.623-626
M. Flahive and B. Bose "On resource placements in Gaussian and EJ networks" IEEE Transactions on Computers , v.Vol. 63 , 2013 , p.pp.623-62
O. Alsaleh, B. Bose and B. Hamdaoui "One-to-many node disjoint paths in dense Gaussian networks" The Computer Journal , 2013
O. Alsaleh, B. Bose and B. Hamdaoui "One-to-many node-disjoint paths routing in dense Gaussian networks" The Computer Journal , 2013
Z. Hussain, B. Bose and A. AlDhelaan "Generalized hypercubes: Edge disjoint Hamiltonian cycles and Gray codes," IEEE Transactions on Computers , v.63 , 2014 , p.375-382
Z. Hussain, B. Bose and A. Al-Dhelaan "Edge disjoint Hamiltonian cycles in Eisenstein?Jacobi networks" Journal of Parallel and Distributed Computing , v.86 , 2015 , p.62-70
Z. Hussian, B. Bose and A. AlDhelaan "Generalized Hypercubes:Edge disjoint Hamiltonian cycles and Gray codes" IEEE Transactions on Computers , v.63 , 2014 , p.375-382

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

In parallel computing systems , nterconnection networks prescribe how to connect different computers that must communicate with each other.    Since quick and efficient communication is desirable and some of these systems are very large, the method used to connect these nodes of the system is very important.  This method of connecting these nodes is called the topology of the network.  

In this project we investigated two relatively new networks whose design is based on two structures of numbers studied in algebraic number theory called the Gaussian numbers and the Eisenstein-Jacobi numbers.  These networks show strong potential for efficient communication. For instance, there is a Gaussian network with about 900 nodes in which every node has four neighbors and every two nodes are within 20 degrees of separation. 

Among our results is recognizing a good way to address the nodes, which we then use to design some algorithms for efficient communication between nodes. 

During this time we have published seven journal papers and one conference proceedings.

We are both honored to be teachers as well as researchers.  Part of the award money was used to support three undergraduate students, two of which are successfully studying in graduate school while the the third student is working at Microsoft.  The grant has helped to support a PhD student in computer science whom we co-advise and who is close to graduation .  In addition to this student, during this time we both have advised other graduate students in our respective departments.


Last Modified: 10/12/2015
Modified by: Bella Bose

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