Faster algorithms for the shortest path problem
نویسندگان
چکیده
منابع مشابه
ALGORITHMS FOR BIOBJECTIVE SHORTEST PATH PROBLEMS IN FUZZY NETWORKS
We consider biobjective shortest path problems in networks with fuzzy arc lengths. Considering the available studies for single objective shortest path problems in fuzzy networks, using a distance function for comparison of fuzzy numbers, we propose three approaches for solving the biobjective prob- lems. The rst and second approaches are extensions of the labeling method to solve the sing...
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We present an algorithm computing a shortest path between to vertices in a square grid graph with edge weights that uses memory less than linear in the number of vertices (apart from that for storing in the input). For any ε > 0, our algorithm uses a work space of O(n) words and runs in O(n) time.
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Abstract. Time-varying network optimization problems have tradition-ally been solved by specialized algorithms. These algorithms have NP-complement time complexity. This paper considers the time-varying short-est path problem, in which can be optimally solved in O(T(m + n)) time,where T is a given integer. For this problem with arbitrary waiting times,we propose an approximation algorithm, whic...
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We use Fibonacci heaps to improve a parametric shortest path algorithm of Karp and Orlin, and we combine our algorithm and the method of Schneider and Schneider’s minimum-balance algorithm to obtain a faster minimum-balance algorithm. For a graph with n vertices and m edges, our parametric shortest path algorithm and our minimum-balance algorithm both run in O(nm + n logn) time, improved from O...
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ژورنال
عنوان ژورنال: Journal of the ACM
سال: 1990
ISSN: 0004-5411,1557-735X
DOI: 10.1145/77600.77615