The hippocampus of birds and mammals is critical for the learning of map-like memory representations of environmental space. It has been suggested that the hippocampus of rats also participates in non-spatial relational learning, including the learning of non-spatial transitive relationships among odor stimuli [Bunsey and Eichenbaum, Nature 1996]. Although transitive-like learning has been demo...

In distributed networks, a target party T could be a person never meet with a source party S, therefore S may not hold any prior evaluation of trustworthiness of T . To get permit to access S, T should be somewhat trusted by S. Consequently, we should study the approach to evaluate trustworthiness of T . To attack the problem, we view individual participant in distributed networks as a node of ...

A subgroup of the automorphism group a graph acts half-arc-transitively on if it transitively vertex-set and edge-set but not arc-set graph. If full half-arc-transitively, is said to be half-arc-transitive. In 1994 Gardiner Praeger introduced two families tetravalent arc-transitive graphs, called C±1 C±ε that play prominent role in characterization graphs admitting an automorphisms with normal ...

¡v in this paper we consider a strongly regular relation ƒá on hypermodules so that the quotient is amodule (with abelian group) over a fundamental commutative ring. also, we state necessary and sufficientconditions so that the relation ƒá is transitive, and finally we prove that ƒá is transitive on hypermodules.

An equivalent relation between transitive 1-factorizations of arctransitive graphs and factorizations of their automorphism groups is established. This relation provides a method for constructing and characterizing transitive 1-factorizations for certain classes of arc-transitive graphs. Then a characterization is given of 2-arc-transitive graphs which have transitive 1factorizations. In this c...

In this paper, we determine all of connected normal edge-transitive Cayley graphs on non-abelian groups with order $4p^2$, where $p$ is a prime number.