An efficient algorithm for finding a shortest paths for all vertices in graph

The all-nodes shortest paths problem is undoubtedly one of the most basic problems in algorithmic graph theory. In this paper, we introduce simple and efficient algorithm for all nodes shortest paths problem for directed (undirected) graphs. In this problem, we find the shortest path from a given source node to all other nodes in the graph, in which the shortest path is a path with minimum cost, i.e., sum of the edge weights. We proved that the complexity of the proposed algorithm in this paper depends only on the edges graph, and we show that the time of implementation of this algorithm is linear time O(m) and This is considered the best times of the algorithms at all. And a Comparison between complexity of proposed algorithm and the famous shortest path algorithms have been made, and the obtained results have shown that the complexity of the proposed algorithm is best.

A Comparison between complexity of the famous shortest path algorithms

The shortest path problem can be categorized in to two different problems; single source shortest path problem (SSSP) and all pair shortest algorithm (APSP). In this paper, analysis and comparison between complexity of the famous shortest path algorithms have been made, and the obtained results have shown that researchers have got remarkable success in designing better algorithms in the terms of time complexity to solve shortest path algorithms.

الإرادة المنفردة بوصفها مصدراً للالتزام (دراسة مقارنة)

يعد العقد، و هو اتفاق إرادتين على إحداث أثر قانوني، المصدر الإرادي الأساسي للالتزام، و هو مصدر عام. و من ثم فإن الإرادة المزدوجة للموجب و للقابل هي مصدر الالتزام التعاقدي، سواء أكان العقد ملزماً لجانبين أم ملزماً لجانب واحد. و لكن هل تستطيع الإرادة المنفردة أن تُنشِئ الالتزام بمفردها، و بمعنى آخر هل يمكن أن تكون الإرادة المنفردة مصدراً للالتزام؟ و الإرادة المنفردة هي تصرف قانوني يصدر عن شخص بهدف إحداث أثر قانوني، و من دون حاجة إلى إرادة ثانية تتوافق معها. و لا شك في أن الآثار القانونية التي يمكن أن ترتبها الإرادة المنفردة متنوعة؛ فيمكن للإرادة المنفردة أن تنقل حقاً عينياً، كما في الوصية، و يمكن أن تزيل هذا الحق، كما في التنازل عن حق عيني. كما يمكن أن يترتب عليها أثر كاشف، كما في الإقرار بنسب طفل في القانون الفرنسي. و تستطيع الإرادة المنفردة أن تنهي بعض العقود، كعقد الوكالة و عقد العمل غير محدد المدة. و لكن هل تستطيع الإرادة أن تُنشِئ التزاماً ؟

The legal basis for civil liability for disclosure of secret bank

Banking secret is the obligation imposed on the burden of the bank and the employees represented in secrecy about the clients information they know within the scope of their job and keeping these secrets confidential. This is an obligation that has been familiar to the banking system since the time of old civilization, which was regarded as an obligation imposed mainly by values and morals and secondly by the legal rules as a legal obligation.

In vitro Propagation of Mentha pulegium

The objective of this research is to propagate Mentha puligium in vitro, shoot tips and nodal explant were planted with 0.5-1 cm length on MS (Murashige's and Skoog) medium with various concentrations (0.5-1-2-3-4) mg/L of cytokinin BAP.

Study the Effect of Speed card on the web quality Produced from of the Syrian Cotton

This experimental study aims to improve the quality of carded web on advanced carding machine in Syrian spinning society. The Effect of Speed of card on the web quality Statistically analysed, the data indicate that all main parameters studied have an influence on web quality. Furthermore it has been shown that there is a strong correlation between the incident of neps and the increasing in the short fiber content during increasing speed carding Subsequently increase speed of card hasan effect negative on Mechanical properties that are usualy the major contributer on the yarn quality and its commercial value.