Matches in SemOpenAlex for { <https://semopenalex.org/work/W4294382020> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W4294382020 abstract "The problem of distributed maximal independent set (MIS) is investigated on inhomogeneous random graphs with power-law weights by which the scale-free networks can be produced. Such a particular problem has been solved on graphs with $n$ vertices by state-of-the-art algorithms with the time complexity of $O(log{n})$. We prove that for a scale-free network with power-law exponent $beta > 3$, the induced subgraph is constructed by vertices with degrees larger than $log{n}log^{*}{n}$ is a scale-free network with $beta' = 2$, almost surely (a.s.). Then, we propose a new algorithm that computes an MIS on scale-free networks with the time complexity of $O(frac{log{n}}{log{log{n}}})$ a.s., which is better than $O(log{n})$. Furthermore, we prove that on scale-free networks with $beta geq 3$, the arboricity and degeneracy are less than $2^{log^{1/3}n}$ with high probability (w.h.p.). Finally, we prove that the time complexity of finding an MIS on scale-free networks with $betageq 3$ is $O(log^{2/3}n)$ w.h.p." @default.
- W4294382020 created "2022-09-03" @default.
- W4294382020 creator A5001303448 @default.
- W4294382020 creator A5051913515 @default.
- W4294382020 creator A5073876018 @default.
- W4294382020 date "2018-04-07" @default.
- W4294382020 modified "2023-09-27" @default.
- W4294382020 title "Distributed Maximal Independent Set on Scale-Free Networks" @default.
- W4294382020 doi "https://doi.org/10.48550/arxiv.1804.02513" @default.
- W4294382020 hasPublicationYear "2018" @default.
- W4294382020 type Work @default.
- W4294382020 citedByCount "0" @default.
- W4294382020 crossrefType "posted-content" @default.
- W4294382020 hasAuthorship W4294382020A5001303448 @default.
- W4294382020 hasAuthorship W4294382020A5051913515 @default.
- W4294382020 hasAuthorship W4294382020A5073876018 @default.
- W4294382020 hasBestOaLocation W42943820201 @default.
- W4294382020 hasConcept C101837359 @default.
- W4294382020 hasConcept C114614502 @default.
- W4294382020 hasConcept C118615104 @default.
- W4294382020 hasConcept C121332964 @default.
- W4294382020 hasConcept C132525143 @default.
- W4294382020 hasConcept C138885662 @default.
- W4294382020 hasConcept C195292467 @default.
- W4294382020 hasConcept C25580894 @default.
- W4294382020 hasConcept C2777727622 @default.
- W4294382020 hasConcept C2778012994 @default.
- W4294382020 hasConcept C2778755073 @default.
- W4294382020 hasConcept C2780388253 @default.
- W4294382020 hasConcept C2780600066 @default.
- W4294382020 hasConcept C311688 @default.
- W4294382020 hasConcept C33923547 @default.
- W4294382020 hasConcept C34947359 @default.
- W4294382020 hasConcept C41895202 @default.
- W4294382020 hasConcept C47458327 @default.
- W4294382020 hasConcept C60644358 @default.
- W4294382020 hasConcept C62520636 @default.
- W4294382020 hasConcept C63553672 @default.
- W4294382020 hasConcept C80899671 @default.
- W4294382020 hasConcept C83204008 @default.
- W4294382020 hasConcept C86803240 @default.
- W4294382020 hasConceptScore W4294382020C101837359 @default.
- W4294382020 hasConceptScore W4294382020C114614502 @default.
- W4294382020 hasConceptScore W4294382020C118615104 @default.
- W4294382020 hasConceptScore W4294382020C121332964 @default.
- W4294382020 hasConceptScore W4294382020C132525143 @default.
- W4294382020 hasConceptScore W4294382020C138885662 @default.
- W4294382020 hasConceptScore W4294382020C195292467 @default.
- W4294382020 hasConceptScore W4294382020C25580894 @default.
- W4294382020 hasConceptScore W4294382020C2777727622 @default.
- W4294382020 hasConceptScore W4294382020C2778012994 @default.
- W4294382020 hasConceptScore W4294382020C2778755073 @default.
- W4294382020 hasConceptScore W4294382020C2780388253 @default.
- W4294382020 hasConceptScore W4294382020C2780600066 @default.
- W4294382020 hasConceptScore W4294382020C311688 @default.
- W4294382020 hasConceptScore W4294382020C33923547 @default.
- W4294382020 hasConceptScore W4294382020C34947359 @default.
- W4294382020 hasConceptScore W4294382020C41895202 @default.
- W4294382020 hasConceptScore W4294382020C47458327 @default.
- W4294382020 hasConceptScore W4294382020C60644358 @default.
- W4294382020 hasConceptScore W4294382020C62520636 @default.
- W4294382020 hasConceptScore W4294382020C63553672 @default.
- W4294382020 hasConceptScore W4294382020C80899671 @default.
- W4294382020 hasConceptScore W4294382020C83204008 @default.
- W4294382020 hasConceptScore W4294382020C86803240 @default.
- W4294382020 hasLocation W42943820201 @default.
- W4294382020 hasOpenAccess W4294382020 @default.
- W4294382020 hasPrimaryLocation W42943820201 @default.
- W4294382020 hasRelatedWork W1972620077 @default.
- W4294382020 hasRelatedWork W2048803215 @default.
- W4294382020 hasRelatedWork W2102797028 @default.
- W4294382020 hasRelatedWork W2152732502 @default.
- W4294382020 hasRelatedWork W217353991 @default.
- W4294382020 hasRelatedWork W2387208501 @default.
- W4294382020 hasRelatedWork W2467514673 @default.
- W4294382020 hasRelatedWork W2546938836 @default.
- W4294382020 hasRelatedWork W2624522806 @default.
- W4294382020 hasRelatedWork W2796186646 @default.
- W4294382020 isParatext "false" @default.
- W4294382020 isRetracted "false" @default.
- W4294382020 workType "article" @default.