From a natural generalization to E* of the concept of congruence, it is possible to define a family of 2-regular digraphs that we call double commutative-step digraphs. They turn out to be Cayley diagrams of Abelian groups generated by two elements, and can be represented by L-shaped tiles which tessellate the plane periodically. A double commutative-step digraph with n vertices is said to be t...

Precise calculations of the coexistence-curve diameters of a hard-core square-well (HCSW) fluid and the restricted primitive model (RPM) electrolyte exhibit marked deviations from rectilinear behavior. The HCSW diameter displays a |t| singularity that sets in sharply for |t| ≡ |T −Tc|/Tc . 10; this compares favorably with extensive data for SF6, also reflected in C2H6, N2, etc. By contrast, the...

Fault tolerance and transmission delay of networks are important concepts in network design. The notions are strongly related to connectivity and diameter of a graph, and have been studied by many authors. Wide diameter of a graph combines studying connectivity with the diameter of a graph. Diameter with width k of a graph G is defined as the minimum integer d for which there exist at least k i...

In this paper, some new families of integral trees with diameters 5 and 6 are constructed. All these classes are infinite. They are different from those in the existing literature. We also prove that the problem of finding integral trees of diameters 5 and 6 is equivalent to the problem of solving some Diophantine equations. The discovery of these integral trees is a new contribution to the sea...

disodium hemiphthalate glycyrrhetinic acid (dhga) possesses anti-inflammatory and analgestic activities. in our research, this agent was injected intraperitoneally to mice, according to the following schedule.1) 25 mg/kg, 50mg/kg & 75mg/kg at 7th day of pregnancy.2) 50 mg/kg & 75mg/kg at 8th day of pregnancy.3) 50mg/kg & 75mg/kg at 9th day of pregnancy.dhga with doses of 50mg/kg and 75mg/kg at ...