Academic literature on the topic 'Ford-Fulkerson algorithm'

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Journal articles on the topic "Ford-Fulkerson algorithm"

1

Chaibou, Amadou, Ousmane Moussa Tessa, and Oumarou Sié. "Modeling the Parallelization of the Edmonds-Karp Algorithm and Application." Computer and Information Science 12, no. 3 (2019): 81. http://dx.doi.org/10.5539/cis.v12n3p81.

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Many optimization problems can be reduced to the maximum flow problem in a network. However, the maximum flow problem is equivalent to the problem of the minimum cut, as shown by Fulkerson and Ford (Fulkerson & Ford, 1956). There are several algorithms of the graph’s cut, such as the Ford-Fulkerson algorithm (Ford & Fulkerson, 1962), the Edmonds-Karp algorithm (Edmonds & Karp, 1972) or the Goldberg-Tarjan algorithm (Goldberg & Tarjan, 1988). In this paper, we study the parallel computation of the Edmonds-Karp algorithm which is an optimized version of the Ford-Fulkerson algorithm. Indeed, this algorithm, when executed on large graphs, can be extremely slow, with a complexity of the order of O|V|.|E|2 (where |V| designates the number of vertices and |E| designates the number of the edges of the graph). So why we are studying its implementation on inexpensive parallel platforms such as OpenMp and GP-GPU. Our work also highlights the limits for parallel computing on this algorithm.
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2

Wagner, Donald K. "Graphs with no K3,3 Minor Containing a Fixed Edge." International Journal of Combinatorics 2013 (March 20, 2013): 1–7. http://dx.doi.org/10.1155/2013/783710.

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It is well known that every cycle of a graph must intersect every cut in an even number of edges. For planar graphs, Ford and Fulkerson proved that, for any edge e, there exists a cycle containing e that intersects every minimal cut containing e in exactly two edges. The main result of this paper generalizes this result to any nonplanar graph G provided G does not have a K3,3 minor containing the given edge e. Ford and Fulkerson used their result to provide an efficient algorithm for solving the maximum-flow problem on planar graphs. As a corollary to the main result of this paper, it is shown that the Ford-Fulkerson algorithm naturally extends to this more general class of graphs.
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Akhmediyarova, Ainur, Dinara Kassymova, Anar Utegenova, and Irbulat Utepbergenov. "Development and research of the algorithm for determining the maximum flow at distribution in the network." Open Computer Science 6, no. 1 (2016): 213–18. http://dx.doi.org/10.1515/comp-2016-0017.

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AbstractAn upgraded version of Ford-Fulkerson algorithm is proposed, which allows to determine the maximum flow and the distribution flow in branches of the network. Results of simulation using this algorithm are given. They show its effectiveness in comparison with the other variants of flow distribution in the network at change of the capacity of branches randomly in time.
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4

Shin, Kwang, and Steve Corder. "Implementing the ford-fulkerson labeling algorithm with fixed-order scanning." Computers & Operations Research 19, no. 8 (1992): 783–87. http://dx.doi.org/10.1016/0305-0548(92)90017-y.

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Masadeh, Raja, Abdullah Alzaqebah, Bushra Smadi, and Esra Masadeh. "Parallel Whale Optimization Algorithm for Maximum Flow Problem." Modern Applied Science 14, no. 3 (2020): 30. http://dx.doi.org/10.5539/mas.v14n3p30.

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Maximum Flow Problem (MFP) is considered as one of several famous problems in directed graphs. Many researchers studied MFP and its applications to solve problems using different techniques. One of the most popular algorithms that are employed to solve MFP is Ford-Fulkerson algorithm. However, this algorithm has long run time when it comes to application with large data size. For this reason, this study presents a parallel whale optimization (PWO) algorithm to get maximum flow in a weighted directed graph. The PWO algorithm is implemented and tested on datasets with different sizes. The PWO algorithm achieved up to 3.79 speedup on a machine with 4 processors.
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Souza, Felipe Ribeiro, Michel Melo, and Cláudio Lúcio Lopes Pinto. "A proposal to find the ultimate pit using Ford Fulkerson algorithm." Rem: Revista Escola de Minas 67, no. 4 (2014): 389–95. http://dx.doi.org/10.1590/0370-44672014670166.

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The present study is focused on mining planning with an emphasis on the graph theory model proposed by Lerchs-Grossmann. The original paper published by Lerchs-Grossmann about determination of optimum final pit does not report the computational algorithm to solve the problem. This paper discusses and presents an algorithm based on the maximum flow graph computational work from Ford Fulkerson. The main steps for solving the problem and the results of the two-dimensional models are discussed.
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7

Ferreira, Joao, Gustavo Callou, Dietmar Tutsch, and Paulo Maciel. "PLDAD—An Algorihm to Reduce Data Center Energy Consumption." Energies 11, no. 10 (2018): 2821. http://dx.doi.org/10.3390/en11102821.

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Due to the demands of new technologies such as social networks, e-commerce and cloud computing, more energy is being consumed in order to store all the produced data. While these new technologies require high levels of availability, a reduction in the cost and environmental impact is also expected. The present paper proposes a power balancing algorithm (power load distribution algorithm-depth (PLDA-D)) to optimize the energy distribution of data center electrical infrastructures. The PLDA-D is based on the Bellman and Ford–Fulkerson flow algorithms that analyze energy-flow models (EFM). EFM computes the power efficiency, sustainability and cost metrics of data center infrastructures. To demonstrate the applicability of the proposed strategy, we present a case study that analyzes four power infrastructures. The results obtained show about a 3.8% reduction in sustainability impact and operational costs.
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8

Than Kyi, Myint, San San Maw, and Lin Lin Naing. "Mathematical Estimation for Maximum Flow in Electricity Distribution Network by Ford-Fulkerson Iteration Algorithm." International Journal of Scientific and Research Publications (IJSRP) 9, no. 8 (2019): p9229. http://dx.doi.org/10.29322/ijsrp.9.08.2019.p9229.

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9

Voronkov, I. M., V. I. Mukhamadiev, M. A. Nazarov, and A. V. Sinitsyn. "Ford-fulkerson and genetic algorithm application for optimal distribution of network resources under financial constraints." Informatization and communication 1 (January 2021): 7–14. http://dx.doi.org/10.34219/2078-8320-2021-12-1-7-14.

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The article is devoted to finding the optimal network resources distribution in the network represented by anundirected complete connected planar uplifted graph. It is assumed that the weight of the edge of the graph is determined by the minimum bandwidth(traffic) of the router at its nodes. The functional is the sum of the bandwidth (maximal flow) of the routers on all nodes under the restrictions on their total cost. The complexity of the problem lies in the fact that there are two types of uncertainty in it: the first – the type of router in each network node is not initially determined, the second – the path between the nodes on which the maximum traffic is realized is not defined. The first uncertainty is solved by using the Genetic Algorithm and the second uncertainty is solved by using the Ford Fulkerson algorithm. An example of calculation for a fragment of a network of a real Internet Service Provider (ISP) is presentedin this article.
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Shrivastava, Akash. "Graph and its Computer Application with C++ Using Linked Lists." Advanced Materials Research 667 (March 2013): 186–92. http://dx.doi.org/10.4028/www.scientific.net/amr.667.186.

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An effort is made to develop a computer programme using C++ to explain the working of a adjacency linked-list representation of a directed graph or digraph and explain the allocation of data using C++. The program uses the concept of arranging a graph in the form of a linked list for the computer to understand the graphical form representation of any data. The graph algorithms are a significant field of interest within computer science. Typical higher level operations associated with graphs are; finding a path between two nodes, like depth-first search and breadth-first search and finding the shortest path from one node to another, like Dijkstra's algorithm. A solution to finding the shortest path from each node to every other node also exists in the form of the Floyd-Warshall algorithm. A directed graph can be seen as a flow network, where each edge has a capacity and each edge receives a flow. The Ford-Fulkerson algorithm is used to find out the maximum flow from a source to a sink in a graph. Conversion of a graph into a computer storable digital data is useful for nanodevices.
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