-
-
Save ibaaj/0b6bb25e9c307a66783dc4535f61c8de to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
digraph mainmap { | |
resolution = 72; | |
node [fontsize = 10]; | |
edge [fontsize = 9]; | |
overlap = false; | |
sep=0.4 | |
splines=true;xSatisfiability [label= "SATISFIABILITY" URL= "http://en.wikipedia.org/wiki/Satisfiability"style="bold", shape="ellipse", peripheries="2", fontsize ="14"]; | |
xCircuitSatisfiability [label= "CIRCUIT SATISFIABILITY" URL= "" style ="filled", fillcolor ="#eeeeee" style="bold", shape="ellipse", peripheries="2", fontsize ="14"]; | |
xMaxCut [label= "MAX CUT" URL= "http://en.wikipedia.org/wiki/Cut_(graph_theory)#Minimal_and_maximal_cuts"]; | |
xJobSequencing [label= "JOB SEQUENCING" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xSubsetSum [label= "SUBSET-SUM" URL= "http://en.wikipedia.org/wiki/Subset_sum_problem"]; | |
xKnapsack [label= "KNAPSACK" URL= "http://en.wikipedia.org/wiki/Knapsack_problem"]; | |
x3dimensionalMatching [label= "3-DIMENSIONAL MATCHING" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xSteinerTree [label= "STEINER TREE" URL= "http://en.wikipedia.org/wiki/Steiner_tree"]; | |
xHittingSet [label= "HITTING SET" URL= "http://en.wikipedia.org/wiki/Hitting_set"]; | |
xExactCover [label= "EXACT COVER" URL= "http://en.wikipedia.org/wiki/Exact_cover"]; | |
xCliqueCover [label= "CLIQUE COVER" URL= "http://en.wikipedia.org/wiki/Clique_cover"]; | |
xChromaticNumber [label= "CHROMATIC NUMBER" URL= "http://en.wikipedia.org/wiki/Graph_coloring"]; | |
x3Satisfiability [label= "3-SATISFIABILITY" URL= "http://en.wikipedia.org/wiki/Boolean_satisfiability_problem#3-satisfiability"]; | |
xUndirectedHamiltonianCircuit [label= "UNDIRECTED HAMILTONIAN CIRCUIT" URL= "http://en.wikipedia.org/wiki/Hamiltonian_path_problem"]; | |
xDirectedHamiltonianCircuit [label= "DIRECTED HAMILTONIAN CIRCUIT" URL= "http://en.wikipedia.org/wiki/Hamiltonian_path_problem"]; | |
xFeedbackArcSet [label= "FEEDBACK ARC SET" URL= "http://en.wikipedia.org/wiki/Feedback_arc_set"]; | |
xFeedbackNodeSet [label= "FEEDBACK NODE SET" URL= "http://en.wikipedia.org/wiki/Feedback_vertex_set"]; | |
xSetCovering [label= "SET COVERING" URL= "http://en.wikipedia.org/wiki/Set_cover_problem"]; | |
xVertexCover [label= "VERTEX COVER" URL= "http://en.wikipedia.org/wiki/Vertex_cover_problem"]; | |
x01IntegerProgramming [label= "0-1-INTEGER PROGRAMMING" URL= "http://en.wikipedia.org/wiki/Integer_linear_programming"]; | |
xClique [label= "CLIQUE" URL= "http://en.wikipedia.org/wiki/Clique_problem"]; | |
xSetPacking [label= "SET PACKING" URL= "http://en.wikipedia.org/wiki/Set_packing"]; | |
xPartition [label= "PARTITION" URL= "http://en.wikipedia.org/wiki/Partition_problem"]; | |
xSubgraphIsomorphism [label= "SUBGRAPH ISOMORPHISM" URL= "http://en.wikipedia.org/wiki/Subgraph_isomorphism_problem"]; | |
xIndependentNodeSet [label= "INDEPENDENT NODE SET" URL= "http://en.wikipedia.org/wiki/Independent_set_problem"]; | |
xBinPacking [label= "BIN PACKING" URL= "http://en.wikipedia.org/wiki/Bin_packing_problem"]; | |
xTravelingSalesman [label= "TRAVELING SALESMAN" URL= "http://en.wikipedia.org/wiki/Travelling_salesman_problem"]; | |
xTravelingSalesmantriangleinequality [label= "TRAVELING SALESMAN \n(triangle inequality)" URL= "http://en.wikipedia.org/wiki/Travelling_salesman_problem"]; | |
xDominatingSet [label= "DOMINATING SET" URL= "http://en.wikipedia.org/wiki/Dominating_set_problem"]; | |
x3Colourability [label= "3-COLOURABILITY" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xkPartition [label= "K-PARTITION" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xMax2SAT [label= "MAX 2-SAT" URL= "http://portal.acm.org/citation.cfm?id=803884"]; | |
xMaxCutsimple [label= "MAX CUT \n(simple)" URL= "http://portal.acm.org/citation.cfm?id=803884"]; | |
xOptimalLinearAssignmentsimple [label= "OPTIMAL LINEAR ASSIGNMENT\n(simple)" URL= "http://portal.acm.org/citation.cfm?id=803884"]; | |
xOptimalLinearAssignment [label= "OPTIMAL LINEAR ASSIGNMENT" URL= "http://portal.acm.org/citation.cfm?id=803884"]; | |
xDomaticNumber [label= "DOMATIC NUMBER" URL= "http://en.wikipedia.org/wiki/Domatic_number"]; | |
xTetrisoffline [label= "TETRIS\n(offline)" URL= "http://arxiv.org/pdf/cs/0210020v1"]; | |
xkMinesweeper [label= "K-MINESWEEPER" URL= "http://people.reed.edu/~jimfix/papers/1MINESWEEPER.pdf"]; | |
xMinesweeper [label= "MINESWEEPER" URL= "http://en.wikipedia.org/wiki/Minesweeper_(computer_game)"]; | |
xPhutball [label= "PHUTBALL" URL= "http://en.wikipedia.org/wiki/Phutball"]; | |
xAchromaticNumber [label= "ACHROMATIC NUMBER" URL= "http://en.wikipedia.org/wiki/Achromatic_number"]; | |
xMinimumMaximalMatching [label= "MINIMUM MAXIMAL MATCHING" URL= "http://link.aip.org/link/?SMJMAP/38/364/1"]; | |
xMonochromaticTriangle [label= "MONOCHROMATIC TRIANGLE" URL= "http://en.wikipedia.org/wiki/Monochromatic_triangle"]; | |
xPartialFeedbackEdgeSet [label= "PARTIAL FEEDBACK EDGE SET" URL= "http://portal.acm.org/citation.cfm?id=804355"]; | |
xPartitionintoTriangles [label= "PARTITION INTO TRIANGLES" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xPartitionintoIsomorphicSubgraphs [label= "PARTITION INTO ISOMORPHIC SUBGRAPHS" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xPartitionintoHamiltonianSubgraphs [label= "PARTITION INTO HAMILTONIAN SUBGRAPHS" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xPartitionintoForests [label= "PARTITION INTO FORESTS" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
x3Satisfiabilitynotallequal [label= "3-SATISFIABILITY\n(not all equal)" URL= "http://en.wikipedia.org/wiki/Boolean_satisfiability_problem#3-satisfiability"]; | |
xPartitionintoperfectMatchings [label= "PARTITION INTO PERFECT MATCHINGS" URL= "http://portal.acm.org/citation.cfm?id=804350"]; | |
xCoveringbyCliques [label= "COVERING BY CLIQUES" URL= "http://portal.acm.org/citation.cfm?id=359340.359346"]; | |
xCoveringbycompletebipartitesubgraphs [label= "COVERING BY COMPLETE BIPARTITE SUBGRAPHS" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xInducedSubgraphwithPropertyPi [label= "INDUCED SUBGRAPH WITH PROPERTY PI" URL= "http://www.csc.kth.se/~viggo/wwwcompendium/node36.html"]; | |
xInducedconnectedSubgraphwithPropertyPi [label= "INDUCED CONNECTED SUBGRAPH WITH PROPERTY PI" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xInducedPath [label= "INDUCED PATH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xBalancedCompleteBipartiteSubgraph [label= "BALANCED COMPLETE BIPARTITE SUBGRAPH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xBipartiteSubgraph [label= "BIPARTITE SUBGRAPH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xDegreeBoundedConnectedSubgraph [label= "DEGREE-BOUNDED CONNECTED SUBGRAPH" URL= "http://www.csc.kth.se/~viggo/wwwcompendium/node41.html"]; | |
xHamiltonianPath [label= "HAMILTONIAN PATH" URL= "http://en.wikipedia.org/wiki/Hamiltonian_path"]; | |
xPlanarSubgraph [label= "PLANAR SUBGRAPH" URL= "http://www.nada.kth.se/~viggo/wwwcompendium/node42.html"]; | |
xEdgeSubgraph [label= "EDGE SUBGRAPH" URL= "http://www.nada.kth.se/~viggo/wwwcompendium/node46.html"]; | |
xTransitiveSubgraph [label= "TRANSITIVE SUBGRAPH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xUniconnectedSubgraph [label= "UNICONNECTED SUBGRAPH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xMinimumkConnectedSubgraph [label= "MINIMUM K-CONNECTED SUBGRAPH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xCubicSubgraph [label= "CUBIC SUBGRAPH" URL= "http://portal.acm.org/citation.cfm?id=892117"]; | |
xMinimumEquivalentDigraph [label= "MINIMUM EQUIVALENT DIGRAPH" URL= "http://www.nada.kth.se/~viggo/wwwcompendium/node49.html"]; | |
xHamiltonianCompletion [label= "HAMILTONIAN COMPLETION" URL= "http://en.wikipedia.org/wiki/Hamiltonian_completion"]; | |
xIntervalGraphCompletion [label= "INTERVAL GRAPH COMPLETION" URL= "http://www.nada.kth.se/~viggo/wwwcompendium/node50.html"]; | |
xPathGraphCompletion [label= "PATH GRAPH COMPLETION" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xBandwidthgraphtheory [label= "BANDWIDTH\n(graph theory)" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xDirectedBandwidth [label= "DIRECTED BANDWIDTH" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xOptimalLinearArrangementdirected [label= "OPTIMAL LINEAR ARRANGEMENT \n(directed)" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
xOptimalLinearArrangement [label= "OPTIMAL LINEAR ARRANGEMENT" URL= "" style ="filled", fillcolor ="#eeeeee" ]; | |
x01IntegerProgramming -> xSatisfiability [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xClique -> xSatisfiability [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xSetPacking -> xClique [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xVertexCover -> xClique [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xSetCovering -> xVertexCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xFeedbackNodeSet -> xVertexCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xFeedbackArcSet -> xVertexCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xDirectedHamiltonianCircuit -> xVertexCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xUndirectedHamiltonianCircuit -> xDirectedHamiltonianCircuit [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xChromaticNumber -> x3Satisfiability [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xCliqueCover -> xChromaticNumber [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xExactCover -> xChromaticNumber [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xHittingSet -> xExactCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xSteinerTree -> xExactCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
x3dimensionalMatching -> xExactCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xKnapsack -> xExactCover [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xJobSequencing -> xKnapsack [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xSubsetSum -> xKnapsack [URL = "" label = "" color ="gray" ]; | |
xPartition -> xSubsetSum [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
xMaxCut -> xPartition [URL = "http://www.cs.berkeley.edu/~luca/cs172/karp.pdf" label = "Karp\n1972" ]; | |
x3Satisfiability -> xSatisfiability [URL = "http://www.cs.toronto.edu/~sacook/homepage/1971.pdf.gz" label = "Cook\n1971" ]; | |
xSubgraphIsomorphism -> x3Satisfiability [URL = "http://www.cs.toronto.edu/~sacook/homepage/1971.pdf.gz" label = "Cook\n1971" ]; | |
xSatisfiability -> xCircuitSatisfiability [URL = "" label = "" color ="gray" ]; | |
xUndirectedHamiltonianCircuit -> xSubgraphIsomorphism [URL = "" label = "" color ="gray" ]; | |
xIndependentNodeSet -> xClique [URL = "" label = "" color ="gray" ]; | |
xTravelingSalesmantriangleinequality -> xUndirectedHamiltonianCircuit [URL = "http://portal.acm.org/citation.cfm?id=803626&dl=GUIDE&coll=GUIDE&CFID=23701820&CFTOKEN=21874286" label = "Garey Graham Johnson\n1976" ]; | |
xTravelingSalesman -> xDirectedHamiltonianCircuit [URL = "" label = "" color ="gray" ]; | |
xkPartition -> xPartition [URL = "" label = "" color ="gray" ]; | |
xBinPacking -> xPartition [URL = "" label = "" color ="gray" ]; | |
xDominatingSet -> xVertexCover [URL = "http://cat.inist.fr/?aModele=afficheN&cpsidt=8937489" label = "Yehuda Moran\n1984" ]; | |
x3Colourability -> xChromaticNumber [URL = "" label = "" color ="gray" ]; | |
xMax2SAT -> x3Satisfiability [URL = "http://portal.acm.org/citation.cfm?id=803884" label = "Garey Johnson Stockmeyer\n1974" ]; | |
xMaxCutsimple -> xMax2SAT [URL = "http://portal.acm.org/citation.cfm?id=803884" label = "Garey Johnson Stockmeyer\n1974" ]; | |
xOptimalLinearAssignmentsimple -> xMaxCutsimple [URL = "http://portal.acm.org/citation.cfm?id=803884" label = "Garey Johnson Stockmeyer\n1974" ]; | |
xOptimalLinearAssignment -> xOptimalLinearAssignmentsimple [URL = "http://portal.acm.org/citation.cfm?id=803884" label = "Garey Johnson Stockmeyer\n1974" ]; | |
xJobSequencing -> xSubsetSum [URL = "" label = "" color ="gray" ]; | |
xVertexCover -> x3Satisfiability [URL = "" label = "" color ="gray" ]; | |
xDomaticNumber -> x3Satisfiability [URL = "http://portal.acm.org/citation.cfm?id=804034" label = "Johnson\n1974" ]; | |
xTetrisoffline -> xkPartition [URL = "http://arxiv.org/pdf/cs/0210020v1" label = "E. Demaine Hohenberger Liben-Nowell\n2008" ]; | |
xkMinesweeper -> xCircuitSatisfiability [URL = "http://people.reed.edu/~jimfix/papers/1MINESWEEPER.pdf" label = "Fix McPhail\n2004" ]; | |
xMinesweeper -> xCircuitSatisfiability [URL = "" label = "Kaye\n2000" ]; | |
xPhutball -> x3Satisfiability [URL = "http://www.msri.org/publications/books/Book42/files/dephut.pdf" label = "M. Demaine E. Demaine Eppstein\n2002" ]; | |
xMinimumMaximalMatching -> xVertexCover [URL = "http://link.aip.org/link/?SMJMAP/38/364/1" label = "Yannakakis Gavril\n1978" ]; | |
xAchromaticNumber -> xMinimumMaximalMatching [URL = "http://link.aip.org/link/?SMJMAP/38/364/1" label = "Yannakakis Gavril\n1978" ]; | |
xMonochromaticTriangle -> x3Satisfiability [URL = "" label = "" color ="gray" ]; | |
xPartialFeedbackEdgeSet -> xVertexCover [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xPartitionintoTriangles -> x3dimensionalMatching [URL = "" label = "" color ="gray" ]; | |
xPartitionintoIsomorphicSubgraphs -> x3dimensionalMatching [URL = "" label = "" color ="gray" ]; | |
xPartitionintoHamiltonianSubgraphs -> x3Satisfiability [URL = "http://www.google.de/search?q=the+complexity+of+computing+the+permanent" label = "Valiant\n1977" ]; | |
xPartitionintoForests -> x3Colourability [URL = "" label = "" color ="gray" ]; | |
x3Satisfiabilitynotallequal -> x3Satisfiability [URL = "http://portal.acm.org/citation.cfm?id=804350&dl=GUIDE," label = "Schaefer\n1978" ]; | |
xPartitionintoperfectMatchings -> x3Satisfiabilitynotallequal [URL = "http://portal.acm.org/citation.cfm?id=804350&dl=GUIDE," label = "Schaefer\n1978" ]; | |
xCoveringbyCliques -> xCliqueCover [URL = "http://portal.acm.org/citation.cfm?id=359340.359346" label = "Kou Stockmeyer Wong\n1978" ]; | |
xCoveringbycompletebipartitesubgraphs -> xCliqueCover [URL = "" label = "Orlin\n1976" ]; | |
xInducedSubgraphwithPropertyPi -> x3Satisfiability [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xInducedconnectedSubgraphwithPropertyPi -> x3Satisfiability [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xInducedPath -> x3Satisfiability [URL = "" label = "" color ="gray" ]; | |
xBalancedCompleteBipartiteSubgraph -> xClique [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xBipartiteSubgraph -> xMax2SAT [URL = "" label = "" color ="gray" ]; | |
xHamiltonianPath -> xVertexCover [URL = "" label = "" color ="gray" ]; | |
xDegreeBoundedConnectedSubgraph -> xHamiltonianPath [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xPlanarSubgraph -> xHamiltonianPath [URL = "" label = "Liu Geldmacher\n1978" ]; | |
xEdgeSubgraph -> x3Satisfiability [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xTransitiveSubgraph -> xBipartiteSubgraph [URL = "http://portal.acm.org/citation.cfm?id=804355" label = "Yannakakis\n1978" ]; | |
xUniconnectedSubgraph -> xVertexCover [URL = "http://www.cs.colorado.edu/department/publications/reports/docs/CU-CS-092-76.pdf" label = "Maheshwari\n1976" ]; | |
xMinimumkConnectedSubgraph -> xUndirectedHamiltonianCircuit [URL = "" label = "" color ="gray" ]; | |
xCubicSubgraph -> x3Colourability [URL = "http://portal.acm.org/citation.cfm?id=892117" label = "" color ="gray" ]; | |
xMinimumEquivalentDigraph -> xDirectedHamiltonianCircuit [URL = "http://www.cise.ufl.edu/~sahni/papers/comp.pdf" label = "Sahni\n1974" ]; | |
xHamiltonianCompletion -> xUndirectedHamiltonianCircuit [URL = "" label = "" color ="gray" ]; | |
xIntervalGraphCompletion -> xOptimalLinearAssignment [URL = "" label = "" color ="gray" ]; | |
xPathGraphCompletion -> xIntervalGraphCompletion [URL = "" label = "" color ="gray" ]; | |
xBandwidthgraphtheory -> xkPartition [URL = "http://www.springerlink.com/content/ch81377764427164/" label = "Papadimitriou\n1976" ]; | |
xDirectedBandwidth -> xkPartition [URL = "http://www.jstor.org/pss/2100947" label = "Garey Graham Johnson Knuth\n1978" ]; | |
xOptimalLinearArrangementdirected -> xOptimalLinearArrangement [URL = "" label = "Even Shiloach\n1975" ]; | |
xOptimalLinearArrangement -> xMaxCutsimple [URL = "" label = "" color ="gray" ]; | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment