Matches in SemOpenAlex for { <https://semopenalex.org/work/W3204207851> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W3204207851 endingPage "126460" @default.
- W3204207851 startingPage "126460" @default.
- W3204207851 abstract "In this paper, we provide degree distributions for $AB$ random geometric graphs, in which points of type $A$ connect to the closest $k$ points of type $B$. The motivating example to derive such degree distributions is in 5G wireless networks with multi-connectivity, where users connect to their closest $k$ base stations. It is important to know how many users a particular base station serves, which gives the degree of that base station. To obtain these degree distributions, we investigate the distribution of area sizes of the $k-$th order Voronoi cells of $B$-points. Assuming that the $A$-points are Poisson distributed, we investigate the amount of users connected to a certain $B$-point, which is equal to the degree of this point. In the simple case where the $B$-points are placed in an hexagonal grid, we show that all $k$-th order Voronoi areas are equal and thus all degrees follow a Poisson distribution. However, this observation does not hold for Poisson distributed $B$-points, for which we show that the degree distribution follows a compound Poisson-Erlang distribution in the 1-dimensional case. We then approximate the degree distribution in the 2-dimensional case with a compound Poisson-Gamma degree distribution and show that this one-parameter fit performs well for different values of $k$. Moreover, we show that for increasing $k$, these degree distributions become more concentrated around the mean. This means that $k$-connected $AB$ random graphs balance the loads of $B$-type nodes more evenly as $k$ increases. Finally, we provide a case study on real data of base stations. We show that with little shadowing in the distances between users and base stations, the Poisson distribution does not capture the degree distribution of these data, especially for $k>1$. However, under strong shadowing, our degree approximations perform quite good even for these non-Poissonian location data." @default.
- W3204207851 created "2021-10-11" @default.
- W3204207851 creator A5003521828 @default.
- W3204207851 creator A5040950929 @default.
- W3204207851 date "2022-01-01" @default.
- W3204207851 modified "2023-10-14" @default.
- W3204207851 title "Degree distributions in AB random geometric graphs" @default.
- W3204207851 cites W1494196016 @default.
- W3204207851 cites W1969754919 @default.
- W3204207851 cites W1972802917 @default.
- W3204207851 cites W1985999806 @default.
- W3204207851 cites W1988153140 @default.
- W3204207851 cites W1989130580 @default.
- W3204207851 cites W1991044841 @default.
- W3204207851 cites W2004860585 @default.
- W3204207851 cites W2035774625 @default.
- W3204207851 cites W2039688938 @default.
- W3204207851 cites W2056581292 @default.
- W3204207851 cites W2056986231 @default.
- W3204207851 cites W2083668462 @default.
- W3204207851 cites W2083920197 @default.
- W3204207851 cites W2103777374 @default.
- W3204207851 cites W2108986762 @default.
- W3204207851 cites W2137398591 @default.
- W3204207851 cites W2143412907 @default.
- W3204207851 cites W279200107 @default.
- W3204207851 cites W2963043645 @default.
- W3204207851 cites W2963118951 @default.
- W3204207851 doi "https://doi.org/10.1016/j.physa.2021.126460" @default.
- W3204207851 hasPublicationYear "2022" @default.
- W3204207851 type Work @default.
- W3204207851 sameAs 3204207851 @default.
- W3204207851 citedByCount "2" @default.
- W3204207851 countsByYear W32042078512023 @default.
- W3204207851 crossrefType "journal-article" @default.
- W3204207851 hasAuthorship W3204207851A5003521828 @default.
- W3204207851 hasAuthorship W3204207851A5040950929 @default.
- W3204207851 hasBestOaLocation W32042078511 @default.
- W3204207851 hasConcept C100906024 @default.
- W3204207851 hasConcept C105795698 @default.
- W3204207851 hasConcept C110121322 @default.
- W3204207851 hasConcept C114614502 @default.
- W3204207851 hasConcept C118615104 @default.
- W3204207851 hasConcept C121332964 @default.
- W3204207851 hasConcept C132525143 @default.
- W3204207851 hasConcept C134306372 @default.
- W3204207851 hasConcept C24881265 @default.
- W3204207851 hasConcept C24890656 @default.
- W3204207851 hasConcept C2524010 @default.
- W3204207851 hasConcept C2775997480 @default.
- W3204207851 hasConcept C33923547 @default.
- W3204207851 hasConcept C34947359 @default.
- W3204207851 hasConcept C42058472 @default.
- W3204207851 hasConcept C47458327 @default.
- W3204207851 hasConcept C87414783 @default.
- W3204207851 hasConceptScore W3204207851C100906024 @default.
- W3204207851 hasConceptScore W3204207851C105795698 @default.
- W3204207851 hasConceptScore W3204207851C110121322 @default.
- W3204207851 hasConceptScore W3204207851C114614502 @default.
- W3204207851 hasConceptScore W3204207851C118615104 @default.
- W3204207851 hasConceptScore W3204207851C121332964 @default.
- W3204207851 hasConceptScore W3204207851C132525143 @default.
- W3204207851 hasConceptScore W3204207851C134306372 @default.
- W3204207851 hasConceptScore W3204207851C24881265 @default.
- W3204207851 hasConceptScore W3204207851C24890656 @default.
- W3204207851 hasConceptScore W3204207851C2524010 @default.
- W3204207851 hasConceptScore W3204207851C2775997480 @default.
- W3204207851 hasConceptScore W3204207851C33923547 @default.
- W3204207851 hasConceptScore W3204207851C34947359 @default.
- W3204207851 hasConceptScore W3204207851C42058472 @default.
- W3204207851 hasConceptScore W3204207851C47458327 @default.
- W3204207851 hasConceptScore W3204207851C87414783 @default.
- W3204207851 hasLocation W32042078511 @default.
- W3204207851 hasLocation W32042078512 @default.
- W3204207851 hasLocation W32042078513 @default.
- W3204207851 hasLocation W32042078514 @default.
- W3204207851 hasLocation W32042078515 @default.
- W3204207851 hasOpenAccess W3204207851 @default.
- W3204207851 hasPrimaryLocation W32042078511 @default.
- W3204207851 hasRelatedWork W2148224192 @default.
- W3204207851 hasRelatedWork W2288434105 @default.
- W3204207851 hasRelatedWork W2397459635 @default.
- W3204207851 hasRelatedWork W2617830793 @default.
- W3204207851 hasRelatedWork W3047563398 @default.
- W3204207851 hasRelatedWork W3145842572 @default.
- W3204207851 hasRelatedWork W3204207851 @default.
- W3204207851 hasRelatedWork W4233620353 @default.
- W3204207851 hasRelatedWork W4302177358 @default.
- W3204207851 hasRelatedWork W4306353753 @default.
- W3204207851 hasVolume "586" @default.
- W3204207851 isParatext "false" @default.
- W3204207851 isRetracted "false" @default.
- W3204207851 magId "3204207851" @default.
- W3204207851 workType "article" @default.