FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1593877860> ?p ?o ?g. }

• W1593877860 endingPage "550" @default.
• W1593877860 startingPage "541" @default.
• W1593877860 abstract "The following distributed coalescence protocol was introduced by Dahlia Malkhi in 2006 motivated by applications in social networking. Initially there are n agents wishing to coalesce into one cluster via a decentralized stochastic process, where each round is as follows: Every cluster flips a fair coin to dictate whether it is to issue or accept requests in this round. Issuing a request amounts to contacting a cluster randomly chosen proportionally to its size. A cluster accepting requests is to select an incoming one uniformly (if there are such) and merge with that cluster. Empirical results by Fernandess and Malkhi suggested the protocol concludes in O(log n) rounds with high probability, whereas numerical estimates by Oded Schramm, based on an ingenious analytic approximation, suggested that the coalescence time should be super-logarithmic.Our contribution is a rigorous study of the stochastic coalescence process with two consequences. First, we confirm that the above process indeed requires super-logarithmic time w.h.p., where the inefficient rounds are due to oversized clusters that occasionally develop. Second, we remedy this by showing that a simple modification produces an essentially optimal distributed protocol: If clusters favor their smallest incoming merge request then the process does terminate in O(log n) rounds w.h.p., and simulations show that the new protocol readily outperforms the original one. Our upper bound hinges on a potential function involving the logarithm of the number of clusters and the cluster-susceptibility, carefully chosen to form a supermartingale. The analysis of the lower bound builds upon the novel approach of Schramm which may find additional applications: Rather than seeking a single parameter that controls the system behavior, instead one approximates the system by the Laplace transform of the entire cluster-size distribution." @default.
• W1593877860 created "2016-06-24" @default.
• W1593877860 creator A5047720470 @default.
• W1593877860 creator A5056507682 @default.
• W1593877860 date "2012-01-17" @default.
• W1593877860 modified "2023-09-26" @default.
• W1593877860 title "Stochastic coalescence in logarithmic time" @default.
• W1593877860 cites W1536721400 @default.
• W1593877860 cites W1975999171 @default.
• W1593877860 cites W1976060186 @default.
• W1593877860 cites W1984697505 @default.
• W1593877860 cites W1988401041 @default.
• W1593877860 cites W1994659270 @default.
• W1593877860 cites W2013444956 @default.
• W1593877860 cites W2014199040 @default.
• W1593877860 cites W2019579910 @default.
• W1593877860 cites W2028973390 @default.
• W1593877860 cites W2035490304 @default.
• W1593877860 cites W2057073325 @default.
• W1593877860 cites W2065626264 @default.
• W1593877860 cites W2068871408 @default.
• W1593877860 cites W2071774989 @default.
• W1593877860 cites W2083459869 @default.
• W1593877860 cites W2083973209 @default.
• W1593877860 cites W2092816446 @default.
• W1593877860 cites W2101344335 @default.
• W1593877860 cites W2123350362 @default.
• W1593877860 cites W2165341195 @default.
• W1593877860 cites W2169071224 @default.
• W1593877860 cites W2905110430 @default.
• W1593877860 cites W3142570770 @default.
• W1593877860 cites W3143219376 @default.
• W1593877860 cites W3144881883 @default.
• W1593877860 doi "https://doi.org/10.5555/2095116.2095162" @default.
• W1593877860 hasPublicationYear "2012" @default.
• W1593877860 type Work @default.
• W1593877860 sameAs 1593877860 @default.
• W1593877860 citedByCount "0" @default.
• W1593877860 crossrefType "proceedings-article" @default.
• W1593877860 hasAuthorship W1593877860A5047720470 @default.
• W1593877860 hasAuthorship W1593877860A5056507682 @default.
• W1593877860 hasConcept C105795698 @default.
• W1593877860 hasConcept C114614502 @default.
• W1593877860 hasConcept C118615104 @default.
• W1593877860 hasConcept C121332964 @default.
• W1593877860 hasConcept C121864883 @default.
• W1593877860 hasConcept C134306372 @default.
• W1593877860 hasConcept C149792144 @default.
• W1593877860 hasConcept C164866538 @default.
• W1593877860 hasConcept C173608175 @default.
• W1593877860 hasConcept C197129107 @default.
• W1593877860 hasConcept C31258907 @default.
• W1593877860 hasConcept C33923547 @default.
• W1593877860 hasConcept C39927690 @default.
• W1593877860 hasConcept C41008148 @default.
• W1593877860 hasConcept C63553672 @default.
• W1593877860 hasConcept C77553402 @default.
• W1593877860 hasConcept C8272713 @default.
• W1593877860 hasConcept C87355193 @default.
• W1593877860 hasConceptScore W1593877860C105795698 @default.
• W1593877860 hasConceptScore W1593877860C114614502 @default.
• W1593877860 hasConceptScore W1593877860C118615104 @default.
• W1593877860 hasConceptScore W1593877860C121332964 @default.
• W1593877860 hasConceptScore W1593877860C121864883 @default.
• W1593877860 hasConceptScore W1593877860C134306372 @default.
• W1593877860 hasConceptScore W1593877860C149792144 @default.
• W1593877860 hasConceptScore W1593877860C164866538 @default.
• W1593877860 hasConceptScore W1593877860C173608175 @default.
• W1593877860 hasConceptScore W1593877860C197129107 @default.
• W1593877860 hasConceptScore W1593877860C31258907 @default.
• W1593877860 hasConceptScore W1593877860C33923547 @default.
• W1593877860 hasConceptScore W1593877860C39927690 @default.
• W1593877860 hasConceptScore W1593877860C41008148 @default.
• W1593877860 hasConceptScore W1593877860C63553672 @default.
• W1593877860 hasConceptScore W1593877860C77553402 @default.
• W1593877860 hasConceptScore W1593877860C8272713 @default.
• W1593877860 hasConceptScore W1593877860C87355193 @default.
• W1593877860 hasLocation W15938778601 @default.
• W1593877860 hasOpenAccess W1593877860 @default.
• W1593877860 hasPrimaryLocation W15938778601 @default.
• W1593877860 hasRelatedWork W1510611182 @default.
• W1593877860 hasRelatedWork W1588383317 @default.
• W1593877860 hasRelatedWork W1967023256 @default.
• W1593877860 hasRelatedWork W2007966243 @default.
• W1593877860 hasRelatedWork W2008310023 @default.
• W1593877860 hasRelatedWork W2097926204 @default.
• W1593877860 hasRelatedWork W2202552137 @default.
• W1593877860 hasRelatedWork W2305802634 @default.
• W1593877860 hasRelatedWork W2326939177 @default.
• W1593877860 hasRelatedWork W2762105436 @default.
• W1593877860 hasRelatedWork W2885453862 @default.
• W1593877860 hasRelatedWork W2902444671 @default.
• W1593877860 hasRelatedWork W2949401610 @default.
• W1593877860 hasRelatedWork W2952769483 @default.
• W1593877860 hasRelatedWork W2963122331 @default.
• W1593877860 hasRelatedWork W2964017049 @default.
• W1593877860 hasRelatedWork W3104485549 @default.
• W1593877860 hasRelatedWork W3115056727 @default.

• next