C

LongestPath

Finds the longest directed path in an acyclic graph.
Inheritance Hierarchy

Remarks

Other Path-Related Algorithms

yFiles for HTML supports a number of other algorithms related to paths in a graph:

  • Paths – finds all paths between a set of source and a set of target nodes
  • Chains – finds all chains, that is, sequences of nodes that are each connected with just an edge without branches
  • Cycle – finds a cycle if one exists
  • LongestPath – finds the longest path in the graph

Shortest Path Algorithms

yFiles for HTML also supports a number of other algorithms that compute shortest paths in a graph:

Examples

Highlighting a longest path of a graph
// prepare the longest path detection algorithm
const algorithm = new LongestPath()
// run the algorithm
const result = algorithm.run(graph)

// highlight the cycle
for (const edge of result.edges) {
  graph.setStyle(edge, highlightLongestPathStyle)
}

See Also

Developer's Guide

API

longestPath

Members

No filters for this type

Constructors

Parameters

Properties

Gets or sets a mapping for edge costs.

The longest path of a graph is a path for which the sum of costs associated with the path edges is maximal.

If no costs are given, all edges have a uniform cost of 1. Path length is then solely determined by the number of edges.

Costs must not be negative.

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

Highlighting a longest path on a subset of the graph
// prepare the longest path detection algorithm
const algorithm = new LongestPath({
  // 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 cycle
for (const edge of result.edges) {
  graph.setStyle(edge, highlightLongestPathStyle)
}
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

Highlighting a longest path on a subset of the graph
// prepare the longest path detection algorithm
const algorithm = new LongestPath({
  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 cycle
for (const edge of result.edges) {
  graph.setStyle(edge, highlightLongestPathStyle)
}

Methods

Finds the longest directed path in an acyclic graph.
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 input graph to run the algorithm on.

Return Value

LongestPathResult
A LongestPathResult containing the longest directed path in the graph.

Throws

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