Name
Abstract | ||
|---|---|---|
A collection of n茂戮驴 2 idempotent quasigroups of order nis called a large set if any two of them are disjoint, denoted by LIQ(n). While the existence of ordinary LIQ(n) has been extensively studied, the spectrums of large sets of idempotent quasigroups with various identities remain open, for example, large set of Steiner pentagon quasigroups of order 11 which is denoted by LSPQ(11). This paper describes some computer searching efforts seeking to solve such problems. A series of results are obtained, including the non-existence of LSPQ(11). |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-87827-8_30 | ASCM |
Keywords | Field | DocType |
large sets,steiner pentagon quasigroups,large set,various identity,computer search,idempotent quasigroups,ordinary liq,order ni,spectrum | Discrete mathematics,Combinatorics,Pentagon,Disjoint sets,Constraint satisfaction problem,Combinatorial design,Computer search,Idempotence,Mathematics | Conference |
Volume | ISSN | Citations |
5081 | 0302-9743 | 1 |
PageRank | References | Authors |
0.36 | 10 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feifei Ma | 1 | 58 | 13.64 |
| Jian Zhang | 2 | 60 | 5.20 |