Large sets of resolvable idempotent Latin squares |
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| Authors: | Junling Zhou Yanxun Chang Zihong Tian |
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| Affiliation: | aInstitute of Mathematics, Beijing Jiaotong University, Beijing 100044, China;bInstitute of Mathematics, Hebei Normal University, Shijiazhuang 050016, China |
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| Abstract: | ![]()
An idempotent Latin square of order v is called resolvable and denoted by RILS(v) if the v(v−1) off-diagonal cells can be resolved into v−1 disjoint transversals. A large set of resolvable idempotent Latin squares of order v, briefly LRILS(v), is a collection of v−2 RILS(v)s pairwise agreeing on only the main diagonal. In this paper we display some recursive and direct constructions for LRILSs. |
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| Keywords: | Large set Idempotent Latin square Ordered design Resolvable t-wise balanced design Candelabra system |
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