Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012121115> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2012121115 endingPage "94" @default.
- W2012121115 startingPage "75" @default.
- W2012121115 abstract "The inequality of [l] (see also [2, 31) was discovered in the analysis of the two-way complexity [5] of the H amming distance function. Further analysis has led to much more general inequalities, culminating in the “4-words inequality” of [4], where also a program for further studies has been formulated. The papers [7, 81 make contributions to this program. Whereas in [8] earlier results of [l] are sharpened to the case of constant (resp. constant parity) H amming distances, in [8] a 4-words inequality for another metric, namely the Lee metric, is proved. The first result of the present paper is a very general 4-words inequality for arbitrary additive distortion functions (instead of distances). The 4-words property used seems to be so natural that we believe our new 4-words inequality (Theorem 1) to be in final form. Several special cases are stated as corollaries. We also settle the constant union problem in an asymptotic sense via an exact solution of a new quantitative l-sided constant union problem (Theorems 2, 3). Another seemingly basic observation is the Decomposition Lemma in Section 7, which enables us to extend the asymptotic solution of the constant union problem to any sum-type function (Theorem 4). For these functions we give an upper bound for the 2-way communication complexity (Theorem 5) and we formulate a rule saying when this bound is tight. From Theorem 1 we get a lower bound, which often can be evaluated. Many results still hold, if cardinalities are replaced by probabilities. This has been shown for the Cwords inequality (Theorem 1’) and a Cword type generalization of the l-sided constant union problem (Theorem 2’). The" @default.
- W2012121115 created "2016-06-24" @default.
- W2012121115 creator A5029862173 @default.
- W2012121115 creator A5038318637 @default.
- W2012121115 creator A5064714385 @default.
- W2012121115 date "1989-03-01" @default.
- W2012121115 modified "2023-10-18" @default.
- W2012121115 title "A general 4-words inequality with consequences for 2-way communication complexity" @default.
- W2012121115 cites W2022772864 @default.
- W2012121115 cites W2045682744 @default.
- W2012121115 cites W2080134123 @default.
- W2012121115 doi "https://doi.org/10.1016/0196-8858(89)90004-3" @default.
- W2012121115 hasPublicationYear "1989" @default.
- W2012121115 type Work @default.
- W2012121115 sameAs 2012121115 @default.
- W2012121115 citedByCount "22" @default.
- W2012121115 countsByYear W20121211152013 @default.
- W2012121115 countsByYear W20121211152019 @default.
- W2012121115 countsByYear W20121211152020 @default.
- W2012121115 countsByYear W20121211152023 @default.
- W2012121115 crossrefType "journal-article" @default.
- W2012121115 hasAuthorship W2012121115A5029862173 @default.
- W2012121115 hasAuthorship W2012121115A5038318637 @default.
- W2012121115 hasAuthorship W2012121115A5064714385 @default.
- W2012121115 hasBestOaLocation W20121211152 @default.
- W2012121115 hasConcept C118615104 @default.
- W2012121115 hasConcept C134306372 @default.
- W2012121115 hasConcept C136119220 @default.
- W2012121115 hasConcept C144237770 @default.
- W2012121115 hasConcept C199343813 @default.
- W2012121115 hasConcept C202444582 @default.
- W2012121115 hasConcept C2777686260 @default.
- W2012121115 hasConcept C33923547 @default.
- W2012121115 hasConcept C45555294 @default.
- W2012121115 hasConcept C71924100 @default.
- W2012121115 hasConceptScore W2012121115C118615104 @default.
- W2012121115 hasConceptScore W2012121115C134306372 @default.
- W2012121115 hasConceptScore W2012121115C136119220 @default.
- W2012121115 hasConceptScore W2012121115C144237770 @default.
- W2012121115 hasConceptScore W2012121115C199343813 @default.
- W2012121115 hasConceptScore W2012121115C202444582 @default.
- W2012121115 hasConceptScore W2012121115C2777686260 @default.
- W2012121115 hasConceptScore W2012121115C33923547 @default.
- W2012121115 hasConceptScore W2012121115C45555294 @default.
- W2012121115 hasConceptScore W2012121115C71924100 @default.
- W2012121115 hasIssue "1" @default.
- W2012121115 hasLocation W20121211151 @default.
- W2012121115 hasLocation W20121211152 @default.
- W2012121115 hasLocation W20121211153 @default.
- W2012121115 hasOpenAccess W2012121115 @default.
- W2012121115 hasPrimaryLocation W20121211151 @default.
- W2012121115 hasRelatedWork W1978394307 @default.
- W2012121115 hasRelatedWork W1985218657 @default.
- W2012121115 hasRelatedWork W2096753949 @default.
- W2012121115 hasRelatedWork W2340243119 @default.
- W2012121115 hasRelatedWork W2353153612 @default.
- W2012121115 hasRelatedWork W2783896737 @default.
- W2012121115 hasRelatedWork W2798264006 @default.
- W2012121115 hasRelatedWork W2940853081 @default.
- W2012121115 hasRelatedWork W3106133691 @default.
- W2012121115 hasRelatedWork W4249580765 @default.
- W2012121115 hasVolume "10" @default.
- W2012121115 isParatext "false" @default.
- W2012121115 isRetracted "false" @default.
- W2012121115 magId "2012121115" @default.
- W2012121115 workType "article" @default.