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| | Dijkstra's algorithm - Wikipedia, the free encyclopedia |
 | | Dijkstra's algorithm, named after its inventor, Dutch computer scientist Edsger Dijkstra, is an algorithm that solves the single-source shortest path problem for a directed graph with nonnegative edge weights. | | | edges, Dijkstra's algorithm can be implemented more efficiently by storing the graph in the form of adjacency lists and using a binary heap or Fibonacci heap as a priority queue to implement the Extract-Min function. | | | OSPF (open shortest path first) is a well known real-world implementation of Dijkstra's algorithm used in internet routing. |
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http://en.wikipedia.org/wiki/Dijkstra's_algorithm
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| | Three Fastest Shortest Path Algorithms on Real Road Networks: Data Structures and Procedures : JGIDA vol.1, no.1, pp. 69-82 |
| | Dial (1969) was the first to implement the Dijkstra algorithm using buckets. | | | These three algorithms are: 1) the graph growth algorithm implemented with two queues, 2) the Dijkstra algorithm implemented with approximate buckets, and 3) the Dijkstra algorithm implemented with double buckets. | | | A natural enhancement of the original Dijkstra algorithm is to maintain the labeled nodes in a data structure in such a way that the nodes are sorted by distance labels. |
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http://publish.uwo.ca/~jmalczew/gida_1/Zhan/Zhan.htm
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| | Dijkstra Revisited |
| | Dijkstra's algorithm can be derived by focusing on the forward value iterations, as in Example 3.5, and identifying exactly where the ``interesting'' changes occur. | | | Dijkstra's algorithm belongs to a broader family of label-correcting algorithms, which all produce optimal plans by making small modifications to the general forward search algorithm in Figure 3.4. | | | Recall that for Dijkstra's algorithm, it was assumed that all costs are nonnegative. |
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http://msl.cs.uiuc.edu/planning/node69.html
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| | 3.9 Case Study: Shortest-Path Algorithms |
| | Dijkstra's sequential single-source algorithm is given as Algorithm 3.2. | | | Figure 3.28: The second parallel Dijkstra algorithm allocates P/N tasks to each of N instantiations of Dijkstra's single-source shortest-path algorithm. | | | Because the sequential Dijkstra algorithm is F times slower than the sequential Floyd algorithm, the parallel algorithm's execution time is |
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http://www-unix.mcs.anl.gov/dbpp/text/node35.html
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| | CS251B -- Topic #29: Shortest path algorithms |
| | Dijkstra's algorithm is an example of what are known as greedy algorithms. | | | This applet simulates the use of the Dijkstra algorithm. | | | Description and Java Applet of Dijkstra's Algorithm writtem by James W. Jackson, Jr at the Georgia Institute of Technology. |
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http://www.cs.mcgill.ca/%7Ecs251/OldCourses/1997/topic29
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| | Dijkstra's Algorithm |
| | Dijkstra's algorithm&; is a greedy algorithm for solving the single-source, shortest-path problem on an edge-weighted graph in which all the weights are non-negative. | | | The essential feature of Dijkstra's algorithm is the order in which the paths are determined: The paths are discovered in the order of their weighted lengths, starting with the shortest, proceeding to the longest. | | | illustrates the operation of Dijkstra's algorithm as it finds the shortest paths starting from vertex b in graph |
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http://www.brpreiss.com/books/opus5/html/page565.html
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| | CSC-152 98S : Outline of Class 50: Dijkstra's Shortest Path Algorithm |
| | Dijkstra's algorithm is an example of a greedy algorithm: at each step in the algorithm, we pick a "best" node | | | Outline of Class 50: Dijkstra's Shortest Path Algorithm | | | A computer scientist named Dijkstra proposed an interesting strategy for finding the shortest path from A to B. He suggested that we can find the shortest path from A to B by finding the shortest path from A to all nodes in the graph. |
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http://www.math.grin.edu/~rebelsky/Courses/CS152/98S/Outlines/outline.50.html
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| | Edgser W. Djkstra |
| | He called it the "shortest subspanning tree algorithm." In the early 1960s, Dijkstra applied the idea of mutual exclusion to communications between a computer and its keyboard. | | | In 1956, Dijkstra came up with the "shortest-path algorithm", after he had been assigned the task of showing the powers of ARMAC, the computer that the Mathematical Centre had in it's possession; an algorithm which aids in finding the best way to travel between two points. | | | The next problem that computer engineers must deal with that Dijkstra recognized was the "dining philosophers problem." In this problem, five philosophers are sitting at a table with a bowl of rice and a chopstick on either side of the bowl. |
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http://www.thocp.net/biographies/dijkstra_edsger.htm
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| | Edsger Dijkstra |
| | Earlier this year Dijkstra was given the CandC award by NEC of Japan "for his pioneering contributions to the establishment of the scientific basis for computer software through creative research in basic software theory, algorithm theory, structured programming, and semaphores". | | | Dijkstra won the Alan Turing prize, the equivalent of the Nobel Prize in Computing, in 1972 for his work in developing the computer language ALGOL in the 1950s. | | | Dijkstra was also one of the first people to use the word computer programmer to describe his profession. |
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http://www.rit.edu/~maa2454/edsger_dijkstra.htm
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| | Boost Graph Library: Dijkstra's Shortest Paths |
| | Dijkstra's algorithm finds all the shortest paths from the source vertex to every other vertex by iteratively ``growing'' the set of vertices S to which it knows the shortest path. | | | The following is the pseudo-code for Dijkstra's single-source shortest paths algorithm. | | | Use breadth-first search instead of Dijkstra's algorithm when all edge weights are equal to one. |
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http://www.boost.org/libs/graph/doc/dijkstra_shortest_paths.html
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| | Dijkstra |
| | Run Dijkstra's algorithm until we know the shortest path from vertex vStart to vertex vEnd, or have explored the whole graph without finding such a path. | | | However, it is interesting to remember that in Dijkstra's algorithm, a vertex's distance will never improve further once it has been popped, so it never goes back on on the priority queue. | | | Run Dijkstra's algorithm until we know the shortest path from vertex vStart to vertex vEnd. |
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http://www.cs.jhu.edu/~jason/226/hw10/doc/graph/Dijkstra.html
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| | ASPN : Python Cookbook : Dijkstra's algorithm for shortest paths |
| | Dijkstra's algorithm is only guaranteed to work correctly when all edge lengths are positive. | | | Dijkstra's algorithm can be simplified by allowing a (cost, vertex) pair to be present multiple times in the priority queue: | | | I tested running times on a Pentium 3, and for complete graphs of ~2000 vertices, this modified Dijkstra function is several times slower than Eppstein's function, and for sparse graphs with ~50000 vertices and ~50000*3 edges, the modified Dijkstra function is several times faster than Eppstein's function. |
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http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/119466
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| | Dijkstra Obituary |
| | Dijkstra is best known for his shortest-path algorithm, a method for finding the most direct route on a graph or map, and for his work as the co-designer of the first version of Algol 60, a programming language that represented one of the first compiler programs that translates human instructions. | | | Several years after Dr. Dijkstra solved the problem, he was surprised to learn that the Massachusetts Institute of Technology designers of the pioneering Multics operating system had not grappled successfully with the issue of deadlock. | | | Dijkstra, an advocate of an approach known as structured programming, wrote a short research note in the March 1968 edition of the journal Communications of the ACM that became legendary. |
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http://www.cs.csustan.edu/~john/Classes/CS3750/Notes/dijkstra_obit.html
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| | lect1019 |
| | It's simpler than Dijkstra's, though, because the Algorithm is simply: at each step add on the shortest edge into the tree that doesn't create a cycle. | | | 15-451 Algorithms 10/19/00 * Graphs Algorithms II - Dijkstra's alg for shortest paths - Prim's alg for MST - Kruskal's alg for MST ======================================================================= Dynamic Programming is a good approach to try when you're trying to get an exponential-time algorithm down to polynomial-time. | | | That's why Dijkstra's algorithm doesn't allow negative-cost edges. |
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http://www-2.cs.cmu.edu/afs/cs/academic/class/15451-f00/www/lectures/lect1019
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| | Dijkstra (Scalable Simulation Framework) |
| | Most of the algorithm is taken from Introduction to Algorithms by Cormen, Leiserson and Rivest. | | | A HashMap holding all new calculated area border and AS boundary router entries for the area this Dijkstra belongs to. | | | Compute the intra-area routes by building the shortest path tree for the area this Dijkstra belongs to. |
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http://www.ssfnet.org/javadoc/SSF/OS/OSPFv2/Dijkstra.html
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| | Edsger Dijkstra: RIP The Register |
| | Edsger Dijkstra, who devised a single source Shortest Path Algorithm [more][animated applet], would have appreciated that. | | | Dutch computer pioneer Edsger W Dijkstra has died, aged 72. | | | Revisiting his 1972 Turing lecture two years ago, Dijkstra wrote: "Computing's central challenge, viz. |
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http://www.theregister.co.uk/content/4/26585.html
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| | A* search algorithm - Wikipedia, the free encyclopedia |
| | Uniform-cost search, aka Dijkstra's algorithm, is a special case of A* where h(x) = 0 for all x. | | | The A* algorithm is therefore an example of best-first search. | | | Another informed search algorithm that is optimal and complete if its heuristic is admissible is recursive best-first search (RBFS). |
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http://en.wikipedia.org/wiki/A-star_search_algorithm
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| | Amazon.com: Books: A Discipline of Programming |
| | Author Edsger W. Dijkstra introduces A Discipline of Programming with the statement, "My original idea was to publish a number of beautiful algorithms in such a way that the reader could appreciate their beauty." In this classic work, Dijkstra achieves this goal and accomplishes a great deal more. | | | However, the value in reading A Discipline of Programming is to absorb and understand the way that Dijkstra thought about these problems, which, in some ways, is more valuable than a thousand algorithms. | | | Dijkstra then delivers, as promised, a collection of beautiful algorithms. |
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http://www.amazon.com/exec/obidos/tg/detail/-/013215871X?v=glance
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| | Slashdot Edsger Wybe Dijkstra: 1930-2002 |
| | Dijkstra's shortest-path algorithm and other works will be remembered in centuries to come. | | | Dijkstra was very good at producing quotable remarks; in addition to his comment about computers, thought, submarines, and swimming (RTFA), he made the following remark about computer science: | | | As I recall, Dr. Dijkstra gave his lecture near the end of our semester, by which time we had been heavily involved in something resembling a team development evironment for a few months.. |
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http://developers.slashdot.org/developers/02/08/07/2254216.shtml?tid=99
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| | Dijkstra's Algorithm Animated |
| | Dijkstra's algorithm starts from a source node, and in each iteration adds another vertex to the shortest-path spanning tree. | | | Dijkstra's Algorithm solves the single-source shortest path problem in weighted graphs. | | | This vertex is the point closest to the root which is still outside the tree. |
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http://www.cs.sunysb.edu/~skiena/combinatorica/animations/dijkstra.html
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| | The A Star Variation to the Shortest Path Problem |
| | The Dijkstra's algorithm does not make that consideration. | | | 36:} // end of main loop of Dijkstra's algorithm (A Star) | | | Assume, we have the following city arrangement, and the program is asked to generate a path from A to F. |
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http://www.wiu.edu/users/mflll/351/AStar.html
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| | A-Star Algorithm |
| | If your domain is not hard to maneuver around, A* should take up *much* less memory than Dijkstra's algorithm, say. | | | If your heuristic estimate function is on the average not very close to the true remaining cost of the path, then A* ends up being close to a full breadth-first search. |
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http://www-cs-students.stanford.edu/~amitp/Articles/AStar1.html
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| | Edgser W. Djkstra |
| | He called it the "shortest subspanning tree algorithm." In the early 1960s, Dijkstra applied the idea of mutual exclusion to communications between a computer and its keyboard. | | | In 1956, Dijkstra came up with the "shortest-path algorithm", after he had been assigned the task of showing the powers of ARMAC, the computer that the Mathematical Centre had in it's possession; an algorithm which aids in finding the best way to travel between two points. | | | The next problem that computer engineers must deal with that Dijkstra recognized was the "dining philosophers problem." In this problem, five philosophers are sitting at a table with a bowl of rice and a chopstick on either side of the bowl. |
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http://www.thocp.net/biographies/dijkstra_edsger.htm
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| | RFC 1245 (rfc1245) - OSPF Protocol Analysis |
| | (This is the complexity of the Dijkstra algorithm in a sparse network). | | | However, it should be noted that the routing algorithm in MILNET incrementally updates the SPF-tree, while OSPF rebuilds it from scratch at each Dijkstra calculation OSPF's Area capability provides a way to reduce Dijkstra overhead, if it becomes a burden. | | | It also plays a special role in the flooding algorithm, since all routers on the network are synchronizing their link state databases by sending and receiving LSAs to/from the Designated Router during the flooding process. |
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http://www.faqs.org/rfcs/rfc1245.html
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| | CS 313 - Edsger Wybe Dijkstra |
| | Edsger Dijkstra is most notable known from the algorithm that bares his name, also known as the "shortest-path algorithm". | | | However Dijkstra was not award the ACM Turing Award for this work but for his work on the ALGOL (ALGOrithmic Language) programming language. | | | Dijkstra has also solved other important problems in computer science. |
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http://www.cs.wlu.edu/~whaleyt/classes/313/Turing/Grieco-Dijkstra.htm
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| | Timeline of algorithms - Wikipedia, the free encyclopedia |
| | 1959 - Dijkstra's algorithm developed by Edsger Dijkstra | | | 1973 - Jarvis march algorithm developed by R. | | | 1984 - Karmarkar's interior-point algorithm developed by Narendra Karmarkar |
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http://en.wikipedia.org/wiki/Timeline_of_algorithms
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| | Edsger Dijkstra |
| | Earlier this year Dijkstra was given the CandC award by NEC of Japan "for his pioneering contributions to the establishment of the scientific basis for computer software through creative research in basic software theory, algorithm theory, structured programming, and semaphores". | | | Dijkstra won the Alan Turing prize, the equivalent of the Nobel Prize in Computing, in 1972 for his work in developing the computer language ALGOL in the 1950s. | | | Dijkstra was also one of the first people to use the word computer programmer to describe his profession. |
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http://www.rit.edu/~maa2454/edsger_dijkstra.htm
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| | CS 336 Lecture Notes -- Flooding Link State Information |
| | In order to run Dijkstra's algorithm, each node, i, already has to store the contents of the last routing update packet it received from each of the other stations in the network (i.e. | | | As a result, we now need to look for a way to make a distributed version of Dijkstra's algorithm feasible. | | | In either case, the algorithm proposed above would be in big trouble. |
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http://www.cs.williams.edu/~tom/courses/336/outlines/lect24_2.html
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| | Guardian Edsger Dijkstra |
| | He will also be remembered for his work on the design of Algol 60, an influential algorithmic computer language, and for what is called Dijkstra's algorithm, a way of finding the shortest path between a number of points. | | | Edsger Dijkstra, who has died of cancer aged 72, was a computer programming pioneer and penetrating thinker, who would throw off such remarks as: "The question of whether computers can think is like the question of whether submarines can swim." His popular fame rested on the phrase "Go To considered harmful". | | | Dijkstra believed that the first challenge for computer science was to discover how to maintain order in a finite, but very large, universe; the second was to turn what you learned into a teachable discipline. |
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http://www.guardian.co.uk/print/0,3858,4484178-103684,00.html
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