FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079202272> ?p ?o ?g. }

• W2079202272 endingPage "490" @default.
• W2079202272 startingPage "473" @default.
• W2079202272 abstract "A generalized balanced tournament design, <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G upper B upper T upper D left-parenthesis n comma k right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mi>B</mml:mi> <mml:mi>T</mml:mi> <mml:mi>D</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>n</mml:mi> <mml:mo>,</mml:mo> <mml:mi>k</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>GBTD(n,k)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, defined on a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=k n> <mml:semantics> <mml:mrow> <mml:mi>k</mml:mi> <mml:mi>n</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>kn</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-set <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper V> <mml:semantics> <mml:mi>V</mml:mi> <mml:annotation encoding=application/x-tex>V</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, is an arrangement of the blocks of a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis k n comma k comma k minus 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mi>k</mml:mi> <mml:mi>n</mml:mi> <mml:mo>,</mml:mo> <mml:mi>k</mml:mi> <mml:mo>,</mml:mo> <mml:mi>k</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>(kn,k,k - 1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-<inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper B upper I upper B upper D> <mml:semantics> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>I</mml:mi> <mml:mi>B</mml:mi> <mml:mi>D</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>BIBD</mml:annotation> </mml:semantics> </mml:math> </inline-formula> defined on <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper V> <mml:semantics> <mml:mi>V</mml:mi> <mml:annotation encoding=application/x-tex>V</mml:annotation> </mml:semantics> </mml:math> </inline-formula> into an <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n times left-parenthesis k n minus 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>×<!-- × --></mml:mo> <mml:mo stretchy=false>(</mml:mo> <mml:mi>k</mml:mi> <mml:mi>n</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>n times (kn - 1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> array such that (1) every element of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper V> <mml:semantics> <mml:mi>V</mml:mi> <mml:annotation encoding=application/x-tex>V</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is contained in precisely one cell of each column, and (2) every element of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper V> <mml:semantics> <mml:mi>V</mml:mi> <mml:annotation encoding=application/x-tex>V</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is contained in at most <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=k> <mml:semantics> <mml:mi>k</mml:mi> <mml:annotation encoding=application/x-tex>k</mml:annotation> </mml:semantics> </mml:math> </inline-formula> cells of each row. In this paper, we introduce <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G upper B upper T upper D left-parenthesis n comma k right-parenthesis s> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mi>B</mml:mi> <mml:mi>T</mml:mi> <mml:mi>D</mml:mi> <mml:mo stretchy=false>(</mml:mo> <mml:mi>n</mml:mi> <mml:mo>,</mml:mo> <mml:mi>k</mml:mi> <mml:mo stretchy=false>)</mml:mo> <mml:mi>s</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>GBTD(n,k)s</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and describe connections between these designs and several other types of combinatorial designs. We also show how to use <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G upper B upper T upper D s> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mi>B</mml:mi> <mml:mi>T</mml:mi> <mml:mi>D</mml:mi> <mml:mi>s</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>GBTDs</mml:annotation> </mml:semantics> </mml:math> </inline-formula> to construct resolvable, near resolvable, doubly resolvable and doubly near resolvable <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper B upper I upper B upper D s> <mml:semantics> <mml:mrow> <mml:mi>B</mml:mi> <mml:mi>I</mml:mi> <mml:mi>B</mml:mi> <mml:mi>D</mml:mi> <mml:mi>s</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>BIBDs</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
• W2079202272 created "2016-06-24" @default.
• W2079202272 creator A5039433221 @default.
• W2079202272 date "1990-01-01" @default.
• W2079202272 modified "2023-09-29" @default.
• W2079202272 title "Generalized balanced tournament designs" @default.
• W2079202272 cites W1964486917 @default.
• W2079202272 cites W1977260259 @default.
• W2079202272 cites W1979141765 @default.
• W2079202272 cites W1980079420 @default.
• W2079202272 cites W2003291535 @default.
• W2079202272 cites W2006974614 @default.
• W2079202272 cites W2041348579 @default.
• W2079202272 cites W2046697783 @default.
• W2079202272 cites W2059168710 @default.
• W2079202272 cites W2073542404 @default.
• W2079202272 cites W2088656506 @default.
• W2079202272 cites W2116340672 @default.
• W2079202272 cites W2133929020 @default.
• W2079202272 cites W3044733345 @default.
• W2079202272 cites W47504349 @default.
• W2079202272 doi "https://doi.org/10.1090/s0002-9947-1990-0978380-6" @default.
• W2079202272 hasPublicationYear "1990" @default.
• W2079202272 type Work @default.
• W2079202272 sameAs 2079202272 @default.
• W2079202272 citedByCount "21" @default.
• W2079202272 countsByYear W20792022722012 @default.
• W2079202272 countsByYear W20792022722013 @default.
• W2079202272 countsByYear W20792022722014 @default.
• W2079202272 countsByYear W20792022722015 @default.
• W2079202272 crossrefType "journal-article" @default.
• W2079202272 hasAuthorship W2079202272A5039433221 @default.
• W2079202272 hasBestOaLocation W20792022721 @default.
• W2079202272 hasConcept C11413529 @default.
• W2079202272 hasConcept C154945302 @default.
• W2079202272 hasConcept C41008148 @default.
• W2079202272 hasConceptScore W2079202272C11413529 @default.
• W2079202272 hasConceptScore W2079202272C154945302 @default.
• W2079202272 hasConceptScore W2079202272C41008148 @default.
• W2079202272 hasIssue "2" @default.
• W2079202272 hasLocation W20792022721 @default.
• W2079202272 hasLocation W20792022722 @default.
• W2079202272 hasOpenAccess W2079202272 @default.
• W2079202272 hasPrimaryLocation W20792022721 @default.
• W2079202272 hasRelatedWork W2051487156 @default.
• W2079202272 hasRelatedWork W2073681303 @default.
• W2079202272 hasRelatedWork W2317200988 @default.
• W2079202272 hasRelatedWork W2358668433 @default.
• W2079202272 hasRelatedWork W2376932109 @default.
• W2079202272 hasRelatedWork W2382290278 @default.
• W2079202272 hasRelatedWork W2386767533 @default.
• W2079202272 hasRelatedWork W2390279801 @default.
• W2079202272 hasRelatedWork W2748952813 @default.
• W2079202272 hasRelatedWork W2899084033 @default.
• W2079202272 hasVolume "318" @default.
• W2079202272 isParatext "false" @default.
• W2079202272 isRetracted "false" @default.
• W2079202272 magId "2079202272" @default.
• W2079202272 workType "article" @default.