C

CycleSubstructures

Detects SubstructureItems that represent the isolated cycles in the specified graph.
Inheritance Hierarchy

Remarks

A cycle is a simple edge path in which the first and last nodes are identical. The algorithm only considers cycles in which at most one edge connects a cycle node with the rest of the graph (i.e. isolated cycles that are connected with one edge). Furthermore, a cycle only consists of elements with the same edgeDirectedness and nodeTypes.

The edgeDirectedness is considered as follows: A substructure is only identified as such if all edges are either undirected or consistently directed with respect to the specified directedness.

  • A directedness value of 1 indicates that the edge is considered to be directed from source to target.
  • A directedness value of -1 indicates that the edge is considered to be directed from target to source.
  • A directedness value of 0 indicates that the edge is considered to be undirected.

Examples

Finding the cycles in a graph
// prepare the cycle detection algorithm
const algorithm = new CycleSubstructures()
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycles
for (const cycle of result.cycles) {
  for (const node of cycle.nodes) {
    graph.setStyle(node, highlightNodeStyle)
  }
  for (const edge of cycle.edges) {
    graph.setStyle(edge, highlightEdgeStyle)
  }
}
Finding only the cycles in a graph whose nodes are of the same type
// prepare the cycle detection algorithm
const algorithm = new CycleSubstructures({
  // only nodes with the same tags can be a cycle
  nodeTypes: (node: INode): any => node.tag,
})
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycles
for (const cycle of result.cycles) {
  for (const node of cycle.nodes) {
    graph.setStyle(node, highlightNodeStyle)
  }
  for (const edge of cycle.edges) {
    graph.setStyle(edge, highlightEdgeStyle)
  }
}

See Also

Developer's Guide

Members

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Constructors

Parameters

Properties

Gets or sets a mapping that stores the directedness of the edges.
If a value is provided here, the algorithm only considers a substructure if all edges are either undirected or consistently directed with respect to the specified directedness.
  • the edge's directedness is greater than 0.0 and the edge is incoming (i.e. n is the edge's target),
  • the edge's directedness is smaller than 0.0 and the edge is outgoing (i.e. n is the edge's source),
  • or the edge's directedness is 0.0 (i.e. the edge is considered to be undirected).
conversionfinal
Gets or sets the minimum size of a cycle.

Cycles with fewer nodes are ignored.

Default is 3.

The smallest minimumSize value that could be considered is 3.
final
Gets or sets a mapping which maps the type of each node.

An arbitrary object. Nodes returning equal objects are considered to be of the same type.

If none is provided, all nodes are considered as equal.

A cycle only consists of elements with the same nodeTypes, i.e., nodes associated with equal objects. If no nodeTypes is specified, all nodes are considered to be of the same type.
conversionfinal
Gets or sets the collection of edges which define a subset of the graph for the algorithms to work on.

If nothing is set, all edges of the graph will be processed.

If only the excludes are set, all edges in the graph except those provided in the excludes are processed.

Note that edges which start or end at nodes which are not in the subgraphNodes are automatically not considered by the algorithm.

ItemCollection<T> instances may be shared among algorithm instances and will be (re-)evaluated upon (re-)execution of the algorithm.

The edges provided here must be part of the graph which is passed to the run method.
conversionfinal

Examples

Finding the cycles of a subset of the graph
// prepare the cycle detection algorithm
const algorithm = new CycleSubstructures({
  // Ignore edges without target arrow heads
  subgraphEdges: {
    excludes: (edge: IEdge): boolean =>
      edge.style instanceof PolylineEdgeStyle &&
      edge.style.targetArrow instanceof Arrow &&
      edge.style.targetArrow.type === ArrowType.NONE,
  },
})
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycles
for (const cycle of result.cycles) {
  for (const node of cycle.nodes) {
    graph.setStyle(node, highlightNodeStyle)
  }
  for (const edge of cycle.edges) {
    graph.setStyle(edge, highlightEdgeStyle)
  }
}
Gets or sets the collection of nodes which define a subset of the graph for the algorithms to work on.

If nothing is set, all nodes of the graph will be processed.

If only the excludes are set, all nodes in the graph except those provided in the excludes are processed.

ItemCollection<T> instances may be shared among algorithm instances and will be (re-)evaluated upon (re-)execution of the algorithm.

The nodes provided here must be part of the graph which is passed to the run method.
conversionfinal

Examples

Finding the cycles of a subset of the graph
// prepare the cycle detection algorithm
const algorithm = new CycleSubstructures({
  subgraphNodes: {
    // only consider elliptical nodes in the graph
    includes: (node: INode): boolean =>
      node.style instanceof ShapeNodeStyle &&
      node.style.shape === ShapeNodeShape.ELLIPSE,
    // but ignore the first node, regardless of its shape
    excludes: graph.nodes.first()!,
  },
})
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycles
for (const cycle of result.cycles) {
  for (const node of cycle.nodes) {
    graph.setStyle(node, highlightNodeStyle)
  }
  for (const edge of cycle.edges) {
    graph.setStyle(edge, highlightEdgeStyle)
  }
}

Methods

Returns a list of SubstructureItems that represent isolated cycles in the specified graph.

A cycle only consists of elements with the same nodeTypes, i.e., nodes associated with equal objects. If no nodeTypes is specified, all nodes are considered to be of the same type.

The edgeDirectedness is considered as follows: A substructure is only identified as such if all edges are either undirected or consistently directed with respect to the specified directedness.

  • A directedness value of 1 indicates that the edge is considered to be directed from source to target.
  • A directedness value of -1 indicates that the edge is considered to be directed from target to source.
  • A directedness value of 0 indicates that the edge is considered to be undirected.
The smallest minimumSize value that could be considered is 3.
A chain or star structure is also considered to be a tree.
If no edgeDirectedness is specified, all edges are treated as undirected. Furthermore, if no nodeTypes are specified, all nodes are considered to be of the same type.
The result obtained from this algorithm is a snapshot which is no longer valid once the graph has changed, e.g. by adding or removing nodes or edges.
final

Parameters

graph: IGraph
The graph to find the substructures in.

Return Value

CycleSubstructuresResult
A list of SubstructureItems that represent the cycles.

Throws

Exception ({ name: 'InvalidOperationError' })
If the algorithm can't create a valid result due to an invalid graph structure or wrongly configured properties.

Examples

Finding the cycles in a graph
// prepare the cycle detection algorithm
const algorithm = new CycleSubstructures()
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycles
for (const cycle of result.cycles) {
  for (const node of cycle.nodes) {
    graph.setStyle(node, highlightNodeStyle)
  }
  for (const edge of cycle.edges) {
    graph.setStyle(edge, highlightEdgeStyle)
  }
}
Finding only the cycles in a graph whose nodes are of the same type
// prepare the cycle detection algorithm
const algorithm = new CycleSubstructures({
  // only nodes with the same tags can be a cycle
  nodeTypes: (node: INode): any => node.tag,
})
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycles
for (const cycle of result.cycles) {
  for (const node of cycle.nodes) {
    graph.setStyle(node, highlightNodeStyle)
  }
  for (const edge of cycle.edges) {
    graph.setStyle(edge, highlightEdgeStyle)
  }
}