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    <title>minimum number of blocks in Pairwise Balanced Designs with maximum block size 4</title>
    <subTitle>the final cases</subTitle>
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    <namePart>Roberts, Ian T.</namePart>
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    <namePart>D’Arcy, Sue</namePart>
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    <namePart>Egan, Judith</namePart>
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  <abstract type="Summary">The minimum number of blocks having maximum size precisely four that are required to cover, exactly λ times, all pairs of elements from a set of cardinality v is denoted by gλ(4)(v) are known except for λ = 1 andv = 17 or 18. It is known that 30&lt;= g(4)(17) &lt;= 31 and 32 &lt;= g(4)(18) &lt;= 33. In this paper we Show that g(4)(17) =/ 30 and g(4)(18) =/ 32, thus finalising the Determination of gλ(4)(v) for all λ and v&lt;eng&gt;</abstract>
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  <note type="statement of responsibility">Martin Grüttmüller, Ian T. Roberts, Sue D’Arcy, Judith Egan</note>
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      <title>Preprints aus dem Institut für Mathematik</title>
      <partNumber>05/13</partNumber>
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  <identifier type="urn">urn:nbn:de:gbv:28-rosdok_id00005834-8</identifier>
  <identifier type="doi">10.18453/rosdok_id00005834</identifier>
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