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  • 05C40  (1)
  • Rabin number  (1)
  • fiber optic networks  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Fault-tolerant routing in circulant networks and cycle prefix networks (1998)
    Springer
    Annals of combinatorics 2 (1998), S. 165-172 
    Details
    ISSN: 0219-3094
    Keywords: 05C12 ; 05C40 ; routing ; circulant network ; cycle prefix network ; connectivity ; diameter ; container ; wide diameter ; fault diameter ; Rabin number
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Reliability and efficiency are important criteria in the design of interconnection networks. Connectivity is a widely used measurement for network fault-tolerance capacities, while diameter determines routing efficiency along individual paths. In practice, we are interested in high-connectivity, small-diameter networks. Recently, Hsu introduced the notion ofw-wide diameter, which unifies diameter and connectivity. This paper investigates thew-wide diameterd w (G) and two related parameters:w-fault diameterD w (G) andw-Rabin numberr w (G). In particular, we determined w (G) andD w (G) for 2≤w≤K(G) andG is a circulant digraphG(d n ; ∈1,d,...,d n−1∉) or a cycle prefix digraph.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01608486
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Scalability of Wavelength Division Multiplexed Optical Passive Star Networks with Range Limited Tunable Transceivers (1999)
    Springer
    Photonic network communications 1 (1999), S. 125-146 
    Details
    ISSN: 1572-8188
    Keywords: fiber optic networks ; wavelength division multiplexing ; network scalability ; optical passive star ; tunable transmitter
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The number of stations attached to a single optical passive star is limited by current state of the art in optical technology. Also, the wavelength range of tunable optical transceivers is limited by current technology. Many high performance computing applications require the use of large size regular topologies for communication between computing nodes. Scalability of passive star networks built with these two limitations becomes an important issue for building larger networks. This is the subject of our study in this paper. In a previous related work we explored the design issues for networks built on a single passive star employing transceivers of a limited tuning range. Here we extend that study by considering the problem of connecting several optical passive stars, each embedded with a given virtual topology, to create larger aggregate networks. The design issues are analyzed and a number of design rules are proposed for building such aggregate networks. We study the scalability of embedded optical passive stars by considering the most commonly employed virtual topologies—complete graph, mesh and hypercube.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1010070922483
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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