DECIDING FRATTINI IS NP-COMPLETE

被引:4
作者
RYTER, CH [1 ]
SCHMID, J [1 ]
机构
[1] UNIV BERN,DEPT MATH,CH-3012 BERN,SWITZERLAND
来源
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 1994年 / 11卷 / 03期
关键词
PARTIALLY ORDERED SET; FRATTINI SUBLATTICE; NP-COMPLETE;
D O I
10.1007/BF02115815
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that it is a NP-complete problem to decide whether a finite poset arises as the (Birkhoff) dual of the Frattini sublattice of some finite distributive lattice.
引用
收藏
页码:257 / 279
页数:23
相关论文
共 13 条
[1]  
ABAD M, 1994, IN PRESS ALGEBRA UNI
[2]  
ADAMS ME, 1973, ALGEBR UNIV, V3, P216
[3]  
ADAMS ME, 1981, COLLOQ MATH, V44, P181
[4]  
CHEN CC, 1973, ALGEBR UNIV, V3, P294
[5]  
CHEN CC, 1975, ALGEBRA UNIV, V5, P88
[6]   REMARKS ON PRIESTLEY DUALITY FOR DISTRIBUTIVE LATTICES [J].
CIGNOLI, R ;
LAFALCE, S ;
PETROVICH, A .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1991, 8 (03) :299-315
[7]  
Davey B.A., 1992, INTRO LATTICES ORDER
[8]  
Garey M. R., 1979, COMPUTERS INTRACTABI
[9]  
Hashimoto J., 1952, MATH JAPANICAE, V2, P149
[10]  
KOH KM, 1971, ALGEBRA UNIV, V1, P104