TY - CHAP
T1 - Asymptotic Existence of Egalitarian Steiner 2-Designs
AU - Colbourn, Charles J.
N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
PY - 2024
Y1 - 2024
N2 - For an ordering of the blocks of a set system, each point has point sum equal to the sum of the indices of blocks containing that point. Improving access balancing for storage systems modelled as designs entails making these point sums as equal as possible. When all are equal, the system is egalitarian. It is established that the elementary necessary conditions for an egalitarian Steiner 2-design to exist are asymptotically sufficient.
AB - For an ordering of the blocks of a set system, each point has point sum equal to the sum of the indices of blocks containing that point. Improving access balancing for storage systems modelled as designs entails making these point sums as equal as possible. When all are equal, the system is egalitarian. It is established that the elementary necessary conditions for an egalitarian Steiner 2-design to exist are asymptotically sufficient.
UR - https://www.scopus.com/pages/publications/85191289052
UR - https://www.scopus.com/pages/publications/85191289052#tab=citedBy
U2 - 10.1007/978-3-031-48679-1_4
DO - 10.1007/978-3-031-48679-1_4
M3 - Chapter
T3 - Fields Institute Communications
SP - 63
EP - 75
BT - Fields Institute Communications
PB - Springer
ER -