يمكن تصنيف مسألة المسار الأقصر إلى نوعين مختلفين من المسائل : مسألة المسار الأقصر وحيد (SSSP) المنبع و مسألة المسار الأقصر لجميع العقد (APSP). في هذا البحث أجرينا تحليل و مقارنة بين درجة التعقيد لأشهر خوارزميات المسار الأقصر, و تبين من النتائج التي حصلنا عليها بأن جميع الأبحاث تحقق نجاحات ملحوظة و استثنائية في تصميم أفضل الخوارزميات من حيث زمن التنفيذ لحل خوارزميات المسار الأقصر.
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.
References used
Balcan. M.F, " Dynamic-Programming algorithms for shortest path problems", CS3510, 18 March 2011
BASWANA. S AND KAVITHA. T, "FASTER ALGORITHMS FOR ALL-PAIRS APPROXIMATE SHORTEST PATHS IN UNDIRECTED GRAPHs", Jornal of ACM,52(1), pp 1- 24. 2005. www.cse.iitk.ac.in
Chan. T. M, "More Algorithms for All-Pairs Shortest Paths in Weighted Graphs", A preliminary version appeared in Proc. 39th ACM Sympos. Theory Comput., pp 590-598, 2009
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