Let G be a graph, each edge e of which is given a weight w(e). The shortest path problem is a path of minimum weight connecting two specified vertices a and b, and from it we have a pre-topology. Furthermore, we study the restriction and separators in pre-topology generated by the shortest path problems. Finally, we study the rate of liaison in pre-topology between two subgraphs. It is formally shown that the new distance measure is a metric

Anaerobic digestion (AD) is the most common process for dealing with primary and secondary wastewater sludge. In the present work, four pre-treatment methods (ultrasonic, chemical, thermal, and thermo-chemical) are investigated in Al-Rustumya Wastewater Treatment plant in order to find their effect on biogas production and volatile solid removal efficiency during anaerobic digestion.
Two frequencies of ultrasonic wave were used 30 KHz and 50 KHz during the pre-treatment. Sodium hydroxide was added in different amounts to give three pH values of 9, 10 and 11 in chemical pre-treating processes. The sludge was heated at 60oC and 80oC through thermal pre-treatment experiment. Also, the sludge was treated thermo-chemically at 80 oC and pH

A field experiment was conducted at botanical garden of Department of Biology, College of Education for Pure Science (Ibn Al-Haitham), University of Baghdad, during the growth winter season of 2016-2017 to study the effect of different concentrations (0, 10, 20) mg.L^-1 of abscisic acid and (0, 50, 100, 150) mg.L^-1 of vitamin C and their interaction on some plant hormones of pea plant (Pisum sativum L.). The results showed that ABA 20 mg.L^-1 decreased IAA about 27.44%, GA₃ about 19.73% and Kinetin 15.37% while vitamin C with 150 mg.L^-1 increased IAA 27.43%, GA₃ 45.31% and Kinetin 58.53%, but ABA increased about 23.01% for ABA and 34.93% for vitamin C compared with

European Chemical Bulletin (ISSN 2063-5346) is a peer-reviewed journal that publishes original research papers, short communications, and review articles in all areas of chemistry. European Chemical Bulletin has eight sections, namely

      From September 2002 to August 2003 monthly samples of fish were collected from two stations at the area of study.         The results of the present study showed that the sex-ratio (male: female) was 1:0.95.       Sexual maturity was reached by all fishes above 28 cm in total length , the smallest mature male was 21.3 cm in total length and body weight 164 gm. While the smallest mature female was 21.5 cm in T.L. and body weight 155 gm.      The mature male and female were in the second year of their ages. The breeding season extended from the end of February until the end of June and another season started from Se

This study observed the genetic diversity and relationships among 4 species belonging to genus Gladiolus L. , by using the Random  Amplified Polymorphic DNA (RAPD) technique , the study  includes extraction of genomic DNA from the dray leaves by using commercial kit . 4 random primers  used the produced of many polymorphic bands among the 4 species , it was also possible to fined the DNA fingerprint of all studied species.Through the appearance of a number of bands that were unique to each species.Genetic distances ranged from 0.10 to 0.86, and used cluster  analysis were performed to construct dendrogram.Cluster analysis grouped the 4 species Into tow main clusters depending on their ancestor and their morphological

The result revealed that the peak of population density of cabbage aphid Brevicoryne brassicae was 523.20 individuals/plant on 21 March in edges of rapeseed field and was 1141.67 individuals/plant in center of the field. Results revealed that population density of cabbage aphid in rapeseed fields surrounded by cover crops significantly were low compared with that of monoculture rapeseed. The location of rapeseed plants (in edges or in center) significantly affected (p<0.05) the tested pest density, e.g. optimum density was 146.69 individuals/plant in the center of the field. Whereas was 93.32 in the edges. Effect of the interaction between location and surrounding vegetation was significant on aphid density, which their population densit