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On the wide diameter of directed double-loop networks

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Title: On the wide diameter of directed double-loop networks
Authors: Chen, Yebin1 cyb7102@163.com, Li, Ying2, Wang, Jiankun1
Source: Journal of Network & Computer Applications. Mar2011, Vol. 34 Issue 2, p692-696. 5p.
Subjects: Wireless communications, Data transmission systems, Superposition principle (Physics), Diameter, Computer simulation, Computer networks
Abstract: Abstract: In parallel transmission system, the wide diameter has become an important factor to measure transmission efficiency instead of the diameter. The minimum distance diagram of a directed double-loop network yields an L-shaped tile, an L-shaped tile can be described by four geometric parameters: a, b, p and q, let m=a–p, n=b−q, the L-shaped tiles can be classified into 4 types according to the value of m and n. In this paper, through classification and superposition to L-shaped tiles, we give a method to search the equivalent node, and provide the formulas for the wide diameter of directed double-loop networks. We also prove that for any directed double-loop networks, the lower and the upper bounds of the wide diameter are ceil (sqrt(3×N))−1 and N−1, respectively. Next, we use simulation results to demonstrate the relationship between the wide diameter and tight optimal directed double-loop networks. It is obvious that the wide diameter doesn’t always obtain minimum value in tight optimal directed double-loop networks, but the directed double-loop network must be tight optimal one when its wide diameter obtains minimum value. The simulation results indicate that there are many double tight optimal directed double-loop networks. [Copyright &y& Elsevier]
Copyright of Journal of Network & Computer Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 57690065
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  Data: On the wide diameter of directed double-loop networks
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  Data: <searchLink fieldCode="DE" term="%22Wireless+communications%22">Wireless communications</searchLink><br /><searchLink fieldCode="DE" term="%22Data+transmission+systems%22">Data transmission systems</searchLink><br /><searchLink fieldCode="DE" term="%22Superposition+principle+%28Physics%29%22">Superposition principle (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Diameter%22">Diameter</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+networks%22">Computer networks</searchLink>
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  Label: Abstract
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  Data: Abstract: In parallel transmission system, the wide diameter has become an important factor to measure transmission efficiency instead of the diameter. The minimum distance diagram of a directed double-loop network yields an L-shaped tile, an L-shaped tile can be described by four geometric parameters: a, b, p and q, let m=a–p, n=b−q, the L-shaped tiles can be classified into 4 types according to the value of m and n. In this paper, through classification and superposition to L-shaped tiles, we give a method to search the equivalent node, and provide the formulas for the wide diameter of directed double-loop networks. We also prove that for any directed double-loop networks, the lower and the upper bounds of the wide diameter are ceil (sqrt(3×N))−1 and N−1, respectively. Next, we use simulation results to demonstrate the relationship between the wide diameter and tight optimal directed double-loop networks. It is obvious that the wide diameter doesn’t always obtain minimum value in tight optimal directed double-loop networks, but the directed double-loop network must be tight optimal one when its wide diameter obtains minimum value. The simulation results indicate that there are many double tight optimal directed double-loop networks. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Network & Computer Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jnca.2010.10.014
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        Text: English
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        Type: general
      – SubjectFull: Data transmission systems
        Type: general
      – SubjectFull: Superposition principle (Physics)
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      – SubjectFull: Diameter
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      – SubjectFull: Computer simulation
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      – TitleFull: On the wide diameter of directed double-loop networks
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              Text: Mar2011
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