Matches in SemOpenAlex for { <https://semopenalex.org/work/W2918050317> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2918050317 abstract "In this paper, we revisit the problem of sampling edges in an unknown graph $G = (V, E)$ from a distribution that is (pointwise) almost uniform over $E$. We consider the case where there is some a priori upper bound on the arboriciy of $G$. Given query access to a graph $G$ over $n$ vertices and of average degree $d$ and arboricity at most $alpha$, we design an algorithm that performs $O!left(frac{alpha}{d} cdot frac{log^3 n}{varepsilon}right)$ queries in expectation and returns an edge in the graph such that every edge $e in E$ is sampled with probability $(1 pm varepsilon)/m$. The algorithm performs two types of queries: degree queries and neighbor queries. We show that the upper bound is tight (up to poly-logarithmic factors and the dependence in $varepsilon$), as $Omega!left(frac{alpha}{d} right)$ queries are necessary for the easier task of sampling edges from any distribution over $E$ that is close to uniform in total variational distance. We also prove that even if $G$ is a tree (i.e., $alpha = 1$ so that $frac{alpha}{d}=Theta(1)$), $Omegaleft(frac{log n}{loglog n}right)$ queries are necessary to sample an edge from any distribution that is pointwise close to uniform, thus establishing that a $mathrm{poly}(log n)$ factor is necessary for constant $alpha$. Finally we show how our algorithm can be applied to obtain a new result on approximately counting subgraphs, based on the recent work of Assadi, Kapralov, and Khanna (ITCS, 2019)." @default.
- W2918050317 created "2019-03-02" @default.
- W2918050317 creator A5050493171 @default.
- W2918050317 creator A5063746987 @default.
- W2918050317 creator A5086741302 @default.
- W2918050317 date "2019-02-21" @default.
- W2918050317 modified "2023-09-27" @default.
- W2918050317 title "The Arboricity Captures the Complexity of Sampling Edges" @default.
- W2918050317 cites W1499514251 @default.
- W2918050317 cites W1980223785 @default.
- W2918050317 cites W1994987445 @default.
- W2918050317 cites W2008620264 @default.
- W2918050317 cites W2022155283 @default.
- W2918050317 cites W2070486524 @default.
- W2918050317 cites W2100732817 @default.
- W2918050317 cites W2404397120 @default.
- W2918050317 cites W2571329707 @default.
- W2918050317 cites W2729780524 @default.
- W2918050317 cites W2738777098 @default.
- W2918050317 cites W2755725510 @default.
- W2918050317 cites W2889943048 @default.
- W2918050317 cites W2899640319 @default.
- W2918050317 cites W2962774460 @default.
- W2918050317 cites W2963568509 @default.
- W2918050317 cites W2963613355 @default.
- W2918050317 cites W2963947323 @default.
- W2918050317 cites W3021019285 @default.
- W2918050317 hasPublicationYear "2019" @default.
- W2918050317 type Work @default.
- W2918050317 sameAs 2918050317 @default.
- W2918050317 citedByCount "2" @default.
- W2918050317 countsByYear W29180503172020 @default.
- W2918050317 countsByYear W29180503172021 @default.
- W2918050317 crossrefType "posted-content" @default.
- W2918050317 hasAuthorship W2918050317A5050493171 @default.
- W2918050317 hasAuthorship W2918050317A5063746987 @default.
- W2918050317 hasAuthorship W2918050317A5086741302 @default.
- W2918050317 hasConcept C101837359 @default.
- W2918050317 hasConcept C110121322 @default.
- W2918050317 hasConcept C114614502 @default.
- W2918050317 hasConcept C118615104 @default.
- W2918050317 hasConcept C121332964 @default.
- W2918050317 hasConcept C132525143 @default.
- W2918050317 hasConcept C134306372 @default.
- W2918050317 hasConcept C24890656 @default.
- W2918050317 hasConcept C2775997480 @default.
- W2918050317 hasConcept C2777984123 @default.
- W2918050317 hasConcept C2779557605 @default.
- W2918050317 hasConcept C33923547 @default.
- W2918050317 hasConcept C62520636 @default.
- W2918050317 hasConcept C63553672 @default.
- W2918050317 hasConcept C77553402 @default.
- W2918050317 hasConcept C83204008 @default.
- W2918050317 hasConceptScore W2918050317C101837359 @default.
- W2918050317 hasConceptScore W2918050317C110121322 @default.
- W2918050317 hasConceptScore W2918050317C114614502 @default.
- W2918050317 hasConceptScore W2918050317C118615104 @default.
- W2918050317 hasConceptScore W2918050317C121332964 @default.
- W2918050317 hasConceptScore W2918050317C132525143 @default.
- W2918050317 hasConceptScore W2918050317C134306372 @default.
- W2918050317 hasConceptScore W2918050317C24890656 @default.
- W2918050317 hasConceptScore W2918050317C2775997480 @default.
- W2918050317 hasConceptScore W2918050317C2777984123 @default.
- W2918050317 hasConceptScore W2918050317C2779557605 @default.
- W2918050317 hasConceptScore W2918050317C33923547 @default.
- W2918050317 hasConceptScore W2918050317C62520636 @default.
- W2918050317 hasConceptScore W2918050317C63553672 @default.
- W2918050317 hasConceptScore W2918050317C77553402 @default.
- W2918050317 hasConceptScore W2918050317C83204008 @default.
- W2918050317 hasLocation W29180503171 @default.
- W2918050317 hasOpenAccess W2918050317 @default.
- W2918050317 hasPrimaryLocation W29180503171 @default.
- W2918050317 hasRelatedWork W172647603 @default.
- W2918050317 hasRelatedWork W1752023784 @default.
- W2918050317 hasRelatedWork W2127581878 @default.
- W2918050317 hasRelatedWork W2296024774 @default.
- W2918050317 hasRelatedWork W2586277680 @default.
- W2918050317 hasRelatedWork W2735927512 @default.
- W2918050317 hasRelatedWork W2943907022 @default.
- W2918050317 hasRelatedWork W2953271509 @default.
- W2918050317 hasRelatedWork W2953380034 @default.
- W2918050317 hasRelatedWork W2962907397 @default.
- W2918050317 hasRelatedWork W3022682740 @default.
- W2918050317 hasRelatedWork W3073529507 @default.
- W2918050317 hasRelatedWork W3103185047 @default.
- W2918050317 hasRelatedWork W3106484443 @default.
- W2918050317 hasRelatedWork W3111591339 @default.
- W2918050317 hasRelatedWork W3130010324 @default.
- W2918050317 hasRelatedWork W3159580594 @default.
- W2918050317 hasRelatedWork W3169697215 @default.
- W2918050317 hasRelatedWork W3201676297 @default.
- W2918050317 hasRelatedWork W3208417137 @default.
- W2918050317 isParatext "false" @default.
- W2918050317 isRetracted "false" @default.
- W2918050317 magId "2918050317" @default.
- W2918050317 workType "article" @default.