Abstract :
A striking conjecture of Fraenkel asserts that every decomposition of Z>0 into m⩾3 sets {⌊αin+βi⌋}n∈Z>0 with αi and βi real, αi>1 and αiʹs distinct for i=1,…,m satisfies{α1,…,αm}=2m−12k: 0⩽k
Keywords :
Complementary sequences , Beatty sequences , Exact covers , Balanced words , Fraenkelיs conjecture
Journal title :
Discrete Mathematics
Journal title :
Discrete Mathematics