Reduction of associate classes for block designs and related combinatorial arrangements

zbMath0315.05008MaRDI QIDQ1220933

Sanpei Kageyama

Publication date: 1974

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (23)

Criteria for the validity of Fisher's condition for balanced block designs ⋮ Efficiency balanced designs for bootstrap simulations ⋮ Kronecker product of mutually associable PBB designs ⋮ Inequality for equireplicated \(n\)-ary block designs with unequal block sizes ⋮ Reduction of the number of associate classes of hypercubic association schemes ⋮ Some bounds on balanced block designs ⋮ Mathematical expression of an inequality for a block design ⋮ Robustness of connected balanced block designs ⋮ Some methods for constructing efficiency-balanced block designs ⋮ Characterization of equireplicated variance-balanced block designs ⋮ Some bounds for partially balanced block designs ⋮ On the reduction of associate classes for the PBB designs ⋮ Balance, efficiency and orthogonality concepts in block designs ⋮ Characterization of certain incomplete block designs ⋮ The family of block designs with some combinatorial properties ⋮ Robustness of some balanced block designs ⋮ Universal optimality of block designs with unequal block sizes ⋮ Some characterization of locally resistant BIB designs of degree one ⋮ Quadratic estimation of variance components in mixed block designs ⋮ Merging the first and third classes in bipartite distance-regular graphs ⋮ On the equivalence of two approaches to simplicity in the analysis of block designs and some related results ⋮ Resistance of block designs ⋮ A note on the inequality b\(\geq t\) for block designs

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