Routing in Unidirectional (n,k)-star graphs
The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound...
Ausführliche Beschreibung
Autor*in: |
Eddie Cheng [verfasserIn] Serge Kruk [verfasserIn] |
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Englisch |
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2006 |
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Übergeordnetes Werk: |
In: Journal of Systemics, Cybernetics and Informatics - International Institute of Informatics and Cybernetics, 2011, 4(2006), 3, Seite 74-78 |
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Übergeordnetes Werk: |
volume:4 ; year:2006 ; number:3 ; pages:74-78 |
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Katalog-ID: |
DOAJ012903337 |
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(DE-627)DOAJ012903337 (DE-599)DOAJ1f909801392848a89a3f9b2b1cf26cef DE-627 ger DE-627 rakwb eng T58.5-58.64 P87-96 Eddie Cheng verfasserin aut Routing in Unidirectional (n,k)-star graphs 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. graphs routing distributed Networks star Interconnection Information technology Communication. Mass media Serge Kruk verfasserin aut In Journal of Systemics, Cybernetics and Informatics International Institute of Informatics and Cybernetics, 2011 4(2006), 3, Seite 74-78 (DE-627)505952289 (DE-600)2216824-2 16904524 nnns volume:4 year:2006 number:3 pages:74-78 https://doaj.org/article/1f909801392848a89a3f9b2b1cf26cef kostenfrei http://www.iiisci.org/Journal/CV$/sci/pdfs/P980038.pdf kostenfrei https://doaj.org/toc/1690-4524 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2006 3 74-78 |
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(DE-627)DOAJ012903337 (DE-599)DOAJ1f909801392848a89a3f9b2b1cf26cef DE-627 ger DE-627 rakwb eng T58.5-58.64 P87-96 Eddie Cheng verfasserin aut Routing in Unidirectional (n,k)-star graphs 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. graphs routing distributed Networks star Interconnection Information technology Communication. Mass media Serge Kruk verfasserin aut In Journal of Systemics, Cybernetics and Informatics International Institute of Informatics and Cybernetics, 2011 4(2006), 3, Seite 74-78 (DE-627)505952289 (DE-600)2216824-2 16904524 nnns volume:4 year:2006 number:3 pages:74-78 https://doaj.org/article/1f909801392848a89a3f9b2b1cf26cef kostenfrei http://www.iiisci.org/Journal/CV$/sci/pdfs/P980038.pdf kostenfrei https://doaj.org/toc/1690-4524 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2006 3 74-78 |
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(DE-627)DOAJ012903337 (DE-599)DOAJ1f909801392848a89a3f9b2b1cf26cef DE-627 ger DE-627 rakwb eng T58.5-58.64 P87-96 Eddie Cheng verfasserin aut Routing in Unidirectional (n,k)-star graphs 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. graphs routing distributed Networks star Interconnection Information technology Communication. Mass media Serge Kruk verfasserin aut In Journal of Systemics, Cybernetics and Informatics International Institute of Informatics and Cybernetics, 2011 4(2006), 3, Seite 74-78 (DE-627)505952289 (DE-600)2216824-2 16904524 nnns volume:4 year:2006 number:3 pages:74-78 https://doaj.org/article/1f909801392848a89a3f9b2b1cf26cef kostenfrei http://www.iiisci.org/Journal/CV$/sci/pdfs/P980038.pdf kostenfrei https://doaj.org/toc/1690-4524 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2006 3 74-78 |
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(DE-627)DOAJ012903337 (DE-599)DOAJ1f909801392848a89a3f9b2b1cf26cef DE-627 ger DE-627 rakwb eng T58.5-58.64 P87-96 Eddie Cheng verfasserin aut Routing in Unidirectional (n,k)-star graphs 2006 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. graphs routing distributed Networks star Interconnection Information technology Communication. Mass media Serge Kruk verfasserin aut In Journal of Systemics, Cybernetics and Informatics International Institute of Informatics and Cybernetics, 2011 4(2006), 3, Seite 74-78 (DE-627)505952289 (DE-600)2216824-2 16904524 nnns volume:4 year:2006 number:3 pages:74-78 https://doaj.org/article/1f909801392848a89a3f9b2b1cf26cef kostenfrei http://www.iiisci.org/Journal/CV$/sci/pdfs/P980038.pdf kostenfrei https://doaj.org/toc/1690-4524 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 4 2006 3 74-78 |
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Routing in Unidirectional (n,k)-star graphs |
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The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. |
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The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. |
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The class of (n,k)-star graphs and their unidirectional version were introduced as generalizations of star graphs and unidirectional star graphs respectively. In this paper, we substantially improved previously known bound for the the diameter of unidirectional (n,k)-star graphs. The previous bound was 10k-5 for small k and 5k+5[(n-1)/2] for large k; the new bound is 7(k-3)+18. In addition, a distributing routing algorithm is presented, analyzed theoretically for worst-case behaviour and exercised experimentally for average case behaviour. |
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