G raph theory is the appropriate language for discussing binary relations on objects. Results in graph theory have numerous applications in biology, chemistry, computer science, and physics. In cases of multiple relations, instead of binary relations more general structures known as hypergraphs are the right tools. However, it turns out that because of their extremely complex structure, hypergr...

Interactions between agents in multi-agent systems have an inherent potential for conflict and must be coordinated. The adhesion to uniform behaviour is one way of coordinating actions: social conventions and lexicons are good examples of coordinating systems, where uniformity promotes shared expectations of behaviour and shared meanings. This paper deals with the emergence of a uniform collect...

We consider a new notion of circuit uniformity based on the concept of rational relations, called Rational-uniformity and denoted Rat. Our goal is to prove it is sharper than DLogTime-uniformity, the notion introduced by Barrington et al. [3], denoted DLT , that is: 1) Rational-uniformity implies DLogTime-uniformity, 2) we have NCRat NCDLT ( NCRat, 3) we have ∀k > 0, NCDLT ⊆ NC Rat , 4) Rationa...

For crop production it is desirable for the mapping between genotype and phenotype to be consistent, such that an optimized genotype produces uniform sets of individual plants. Uniformity is strongly selected in breeding programs, usually automatically, as harvest equipment eliminates severely non-uniform individuals. Uniformity is genetically controlled, is known to be increased by interplant ...