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

The launch of the EU’s Eastern Partnership in 2009 intended to signal a new, elevated level of EU engagement with its Eastern neighborhood. Yet there remain several long-simmering and potentially destabilizing conflicts in the region, with which EU engagement thus far has been sporadic at best. The Union’s use of its Common Security and Defense Policy (CSDP) in the region and to help solve these disputes has been particularly ad hoc and inconsistent, wracked by inter-institutional incoherence and undermined by Member States’ inability to agree on a broad strategic vision for engagement with the area.

The three CSDP missions deployed to the region thus far have all suffered from this incoherence to various extents. In particu

This research is concerned with studying the representations of the event in the drawings of the ancient civilizations of the world, and the research consists of two axes, the axis of the theoretical framework, which included (the research problem, its aim, its limits, and the definition of its terminology).
The research aims to reveal how the event pattern was formulated by the artist on the surface of his visual achievement, and the limits of the search were spatial in the ancient civilizations of Iraq, Egypt, Greece and Rome, but the limits of the temporal research could not be determined because they were before birth, and objectively:
representations of the event in the civilizations of the ancient world This axis also in

In the name of of Allah the Merciful

Introduction:

Praise be to Allah, Lord of the Worlds, and prayers and peace be upon our master Muhammad and his family and companions.

After

I have looked at a part of the jurisprudence of Hajj jurisprudence, which is needed now, especially after it facilitated travel to perform Hajj and Umrah, so the need was an advocate and a list for writing in it, which is beneficial to Hajj, Umrah and the guide.

And this important part is the things that contravene the woman's man in the Hajj and after the search and tracking found that there are ten things that get the violati

Vagrancy is global problem, but its geographical distribution differs from one society
to another and from one place to another inside the same society.Till now there isn't a real factor that can explain the phenomenon, spite that economy plays aconstituent and distinguishing part, and spite the fact that Vagrancy is considered a realdeviation that can be compared with criminality level, and cannot be separated from its effecton family, local society and school. In addition to unprecedented work under heavily pressurethat attack to a minimum protection and safety. Vagrant may be a child, a teen, a young, or
even an old man. Vagrancy thus means different people with different ages and not onlyprecisely children. Vagrant is not neces

Gender has considered and become a new trend in women's studies, as it reflects the behaviors, roles and attitudes imposed by society on its members in accordance with their biological nature,with focusing on gender rather than on concentration on women, which is closely linked to the vision that concentrates on women's problems which are not primarily according to their biological differences But rather to a greater extent to social, cultural, historical and religious barriers and Obstacles.
Therefore, the qualitative division due to the concept of "gender" is not a rigid biological division, but is relied on the broad general context through which the social division of work is done. Thus, content in the pages of Facebook with high-

This paper deals with a preliminary survey helminth parasites of the black partridge. Francolinus francolinus arabistanicus in Baghdad area, middle of Iraq. It was found that the bird was infected with the cestodes Cotugnia digonopora and Raillietina tetragona with infection rates of 61.9% and 4.8% respectively, and the nematodes Heterakis gallinarum and Paroneoccrca rouss-lotti with infection rates of 4.8% and 19% respectively. Some important measurements, distribution and occurrence according host-sex of each parasite were provided along with some remarks on parasites biology.

The recent research aims to the following
1- Identify the for Psychicasthein high school students
2-Identify the differences of Psychicasthein of high school students according tothe (male, female).
3- Identify the for Family Violence high school students .
4-Identify the differences of Family Violence of high school students according to the ( male,female)
5-Identify of the relationship between the Psychicasthein and family violence
To achieve the objectives of the present research was to build Psychicasthein scale and the adoption of a measure of domestic violence, and applied these tools, and after extracting the psychometric properties of the two measures of reliability and validity, according to a sample of 200 stu

Zusammenfassung

Die Rache ist also ein effizientes, ausgiebiges Thema, das man in der Dramatik, in der Lyrik und auch in der Epik als Theaterzuschauer oder als Leser voller Spannung verfolgt.

Wenn man solch ein Thema verfolgt, wird man stark beeinflusst. Der Leser bzw. Zuschauer bleibt nicht isoliert vom Geschehen und wird innerlich unweigerlich zur Äußerung seiner Meinung gedrängt, gleich ob er sich nun für oder gegen das Verhalten der Gestalten solch eines Werkes stellt. Im Zuge meiner Forschungsarbeit mit diesen auserwählten Werken, in der ich das Thema „Rache“ behandelt habe, bin ich zu dem Resultat gekommen, dass die rächende Person ein bitteres Ende nimmt und ein dunkles Schicksal hat, ind