Dynamic Routing Schemes for General Graphs

作者: Amos Korman , David Peleg

DOI: 10.1007/11786986_54

关键词: Bounding overwatchDiscrete mathematicsRouting (electronic design automation)Upper and lower boundsOrder (ring theory)Graph theoryMathematicsDestination-Sequenced Distance Vector routingDynamic programmingWeight changeAlgorithm

摘要: This paper studies approximate distributed routing schemes on dynamic communication networks. The focuses weighted general graphs where the vertices of graph are fixed but weights edges may change. Our main contribution concerns bounding cost adapting to changes. update efficiency a scheme is measured by number messages that need be sent, following weight change, in order scheme. results indicate theoretic parameter governing amortized message complexity these updates local density D underlying graph, and specifically, this ${\tilde\Theta}(D)$. also establishes upper lower bounds size databases required at each site.

参考文章(18)
Seiya Yokohama, Dynamic graph algorithms Algorithms and theory of computation handbook. pp. 9- 9 ,(2010) , 10.1201/B16132-52
Amos Korman, David Peleg, Labeling schemes for weighted dynamic trees international colloquium on automata languages and programming. pp. 369- 383 ,(2003) , 10.1007/3-540-45061-0_31
Amos Korman, General Compact Labeling Schemes for Dynamic Trees Lecture Notes in Computer Science. pp. 457- 471 ,(2005) , 10.1007/11561927_33
Baruch Awerbuch, David Peleg, Routing with Polynomial Communication-Space Srade-ff SIAM Journal on Discrete Mathematics. ,vol. 5, pp. 151- 162 ,(1992) , 10.1137/0405013
Baruch Awerbuch, Amotz Bar-Noy, Nathan Linial, David Peleg, Improved routing strategies with succinct tables Journal of Algorithms. ,vol. 11, pp. 307- 341 ,(1990) , 10.1016/0196-6774(90)90017-9
Pierre Fraigniaud, Cyril Gavoille, Universal routing schemes Distributed Computing. ,vol. 10, pp. 65- 78 ,(1997) , 10.1007/S004460050025
Cyril Gavoille, Routing in distributed networks: overview and open problems Sigact News. ,vol. 32, pp. 36- 52 ,(2001) , 10.1145/568438.568451
Shlomi Dolev, Evangelos Kranakis, Danny Krizanc, David Peleg, Bubbles: Adaptive Routing Scheme for High-Speed Dynamic Networks SIAM Journal on Computing. ,vol. 29, pp. 804- 833 ,(1999) , 10.1137/S0097539797316610
Kazuo Iwama, Akinori Kawachi, Compact routing with stretch factor of less than three (brief announcement) principles of distributed computing. pp. 337- ,(2000) , 10.1145/343477.362158