It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, i...

Let $G$ be a permutation group on set $\Omega$ and recall that base for is subset of such its pointwise stabiliser trivial. In recent paper, Burness Giudici introduced the Saxl graph $G$, denoted $\Sigma(G)$, with vertex two vertices adjacent if they form base. If transitive, then $\Sigma(G)$ vertex-transitive it natural to consider valency (which we refer as $G$). this paper present general me...

In this work a sufficient condition is shown to obtain transitivity in families of piecewise increassing maps with an inevitable discontinuity x=0. Specifically, it that the characteristics large class transformations real line x=0 be transitive (exhibits dense orbit), they are following: f has no fixed points, vertical asymptote at and preimage zero different from empty. particular, famous Boo...

Since decades transitive graphs are a topic of great interest. The study of s-edge transitive (undirected) graphs goes back to Tutte [13], who showed that finite cubic graphs cannot be s-edge transitive for s> 5. Weiss [14] proved several years later that the only finite connected s-edge transitive graphs with s = 8 are the cycles. Considering directed graphs the situation is much more involved...

This paper begins by pointing out a new generalization regarding the distribution of transitive need throughout Indo-European. It is shown that only those Indo-European languages that have a transitive verb have used to express possession (i.e., HAVElanguages) may also have a transitive verb need. No Indo-European BE-language has a transitive verb need. In light of this generalization, we argue...

Transitivity of generalized fuzzy matrices over a special type of semiring is considered. The semiring is called incline algebra which generalizes Boolean algebra, fuzzy algebra, and distributive lattice. This paper studies the transitive incline matrices in detail. The transitive closure of an incline matrix is studied, and the convergence for powers of transitive incline matrices is considere...

In this paper we classify all 4+1 cosmological models where the spatial hypersurfaces are connected and simply connected homogeneous Riemannian manifolds. These models come in two categories, multiply transitive and simply transitive models. There are in all five different multiply transitive models which cannot be considered as a special case of a simply transitive model. The classification of...

In this paper we investigate the following generalization of transitivity: A digraph D is (m, n )-transitive whenever there is a path of length m from x to y there is a subset of n + I vertices of these m +I vertices which contain a path of length n from x toy. Here we study various properties of (m, n )-transitive digraphs. In particular, (m, I)-transitive tournaments are characterized. Their ...