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Algoritmos de gráficas y redes

Gráficas dirigidas y sin dirigir, análisis de redes

Las gráficas modelan las conexiones de una red y se aplican ampliamente a una gran variedad de sistemas físicos, biológicos y de información. Es posible usar gráficas para modelar las neuronas de un cerebro, los patrones de vuelo de una línea aérea y mucho más. La estructura de una gráfica está compuesta de “nodos” y “bordes”. Cada nodo representa una entidad, y cada borde, una conexión entre dos nodos. Para obtener más información, consulte Directed and Undirected Graphs.

Funciones

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graphGraph with undirected edges
digraphGraph with directed edges
addnodeAdd new node to graph
rmnodeRemove node from graph
addedgeAdd new edge to graph
rmedgeRemove edge from graph
flipedgeReverse edge directions
numnodesNumber of nodes in graph
numedgesNumber of edges in graph
findnodeLocate node in graph
findedgeLocate edge in graph
edgecountNumber of edges between two nodes
reordernodesReorder graph nodes
subgraphExtract subgraph
centralityMeasure node importance
conncompConnected graph components
biconncompBiconnected graph components
condensationGraph condensation
bctreeBlock-cut tree graph
toposortTopological order of directed acyclic graph
isdagDetermine if graph is acyclic
transreductionTransitive reduction
transclosureTransitive closure
isisomorphicDetermine whether two graphs are isomorphic
isomorphismCompute isomorphism between two graphs
ismultigraphDetermine whether graph has multiple edges
simplifyReduce multigraph to simple graph
bfsearchBreadth-first graph search
dfsearchDepth-first graph search
shortestpathShortest path between two single nodes
shortestpathtreeShortest path tree from node
distancesShortest path distances of all node pairs
allpathsFind all paths between two graph nodes
maxflowMaximum flow in graph
minspantreeMinimum spanning tree of graph
hascyclesDetermine whether graph contains cycles
allcyclesFind all cycles in graph
cyclebasisFundamental cycle basis of graph
adjacencyGraph adjacency matrix
incidenceGraph incidence matrix
laplacianGraph Laplacian matrix
degreeDegree of graph nodes
neighborsNeighbors of graph node
nearestNearest neighbors within radius
indegreeIn-degree of nodes
outdegreeOut-degree of nodes
predecessorsNode predecessors
successorsNode successors
inedgesIncoming edges to node
outedgesOutgoing edges from node
plotPlot graph nodes and edges
labeledgeLabel graph edges
labelnodeLabel graph nodes
layoutChange layout of graph plot
highlightHighlight nodes and edges in plotted graph

Objetos

GraphPlotGraph plot for directed and undirected graphs

Propiedades

GraphPlot PropertiesGraph plot appearance and behavior

Temas