rel_is_irreflexive {agop}R Documentation

Irreflexive Binary Relations


A binary relation R is irreflexive (or antireflexive), iff for all x we have \neg xRx.





an object coercible to a 0-1 (logical) square matrix, representing a binary relation on a finite set.


rel_is_irreflexive finds out if a given binary relation is irreflexive. The function just checks whether all elements on the diagonal of R are zeros, i.e., it has O(n) time complexity, where n is the number of rows in R. Missing values on the diagonal may result in NA.

When dealing with a graph's loops, i.e., elements related to themselves, you may be interested in finding a reflexive closure, see rel_closure_reflexive, or a reflexive reduction, see rel_reduction_reflexive.


rel_is_irreflexive returns a single logical value.

See Also

Other binary_relations: check_comonotonicity(), pord_nd(), pord_spread(), pord_weakdom(), rel_graph(), rel_is_antisymmetric(), rel_is_asymmetric(), rel_is_cyclic(), rel_is_reflexive(), rel_is_symmetric(), rel_is_total(), rel_is_transitive(), rel_reduction_hasse()

[Package agop version 0.2.4 Index]