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In a graph of nodes, detect whether the destruction of a single node would result in two unconnected graphs


Map Tiling AlgorithmUkkonen's suffix tree algorithm in plain EnglishTesting grid passabilityImage Processing: Algorithm Improvement for 'Coca-Cola Can' RecognitionAll paths of given length between two given nodes in a graphFind path between two nodes in graph, according to given criteria - optimization taskHow to find strongest path between two nodes in a directed graph in matlab or ucinet?Finding most efficient path between two nodes in an interval graphHow to compress a part of graph into a single node and be able to find shortest path from one node to all?Graph theory: path of X cost between two nodes






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1















I need this for a game I'm writing in golang.



I've got a bunch of nodes, each containing lists of other nodes, such that there exists a path between any two nodes.



(in fact the objects are rectangles of various sizes tiled together)



I need to test each node to see if, by its destruction, there would remain a path between any two of the remaining nodes, or if some would become unreachable.



(i.e. would the loss of a given rectangle result in two unconnected tiled regions, or would it remain a single tiled region)



I'm hoping a way to perform this test as efficiently as possible, because my code will have to perform this test one many different sets of nodes, as many times as possible, as part of descending into an alphabeta game-tree engine.



Many thanks for any help!










share|improve this question




























    1















    I need this for a game I'm writing in golang.



    I've got a bunch of nodes, each containing lists of other nodes, such that there exists a path between any two nodes.



    (in fact the objects are rectangles of various sizes tiled together)



    I need to test each node to see if, by its destruction, there would remain a path between any two of the remaining nodes, or if some would become unreachable.



    (i.e. would the loss of a given rectangle result in two unconnected tiled regions, or would it remain a single tiled region)



    I'm hoping a way to perform this test as efficiently as possible, because my code will have to perform this test one many different sets of nodes, as many times as possible, as part of descending into an alphabeta game-tree engine.



    Many thanks for any help!










    share|improve this question
























      1












      1








      1








      I need this for a game I'm writing in golang.



      I've got a bunch of nodes, each containing lists of other nodes, such that there exists a path between any two nodes.



      (in fact the objects are rectangles of various sizes tiled together)



      I need to test each node to see if, by its destruction, there would remain a path between any two of the remaining nodes, or if some would become unreachable.



      (i.e. would the loss of a given rectangle result in two unconnected tiled regions, or would it remain a single tiled region)



      I'm hoping a way to perform this test as efficiently as possible, because my code will have to perform this test one many different sets of nodes, as many times as possible, as part of descending into an alphabeta game-tree engine.



      Many thanks for any help!










      share|improve this question














      I need this for a game I'm writing in golang.



      I've got a bunch of nodes, each containing lists of other nodes, such that there exists a path between any two nodes.



      (in fact the objects are rectangles of various sizes tiled together)



      I need to test each node to see if, by its destruction, there would remain a path between any two of the remaining nodes, or if some would become unreachable.



      (i.e. would the loss of a given rectangle result in two unconnected tiled regions, or would it remain a single tiled region)



      I'm hoping a way to perform this test as efficiently as possible, because my code will have to perform this test one many different sets of nodes, as many times as possible, as part of descending into an alphabeta game-tree engine.



      Many thanks for any help!







      algorithm go graph-theory






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Mar 8 at 23:30









      ZackrobatZackrobat

      61




      61






















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          There's a linear time algorithm to find the biconnected components of a graph. The articulation nodes are the ones whose removal would disconnect the graph.






          share|improve this answer























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            There's a linear time algorithm to find the biconnected components of a graph. The articulation nodes are the ones whose removal would disconnect the graph.






            share|improve this answer



























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              There's a linear time algorithm to find the biconnected components of a graph. The articulation nodes are the ones whose removal would disconnect the graph.






              share|improve this answer

























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                There's a linear time algorithm to find the biconnected components of a graph. The articulation nodes are the ones whose removal would disconnect the graph.






                share|improve this answer













                There's a linear time algorithm to find the biconnected components of a graph. The articulation nodes are the ones whose removal would disconnect the graph.







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Mar 8 at 23:48









                David EisenstatDavid Eisenstat

                38.6k73576




                38.6k73576





























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