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class EulerTour[T] extends AnyRef

A class that represents an Euler Tour of a directed graph from a given root. This requires O(n) preprocessing time to generate the initial Euler Tour.

Source
EulerTour.scala
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Instance Constructors

  1. new EulerTour(r: Map[T, Int], e: Seq[T], h: Seq[Int])

    Create a new EulerTour from the specified data

    Create a new EulerTour from the specified data

    r

    A map of a node to its first index

    e

    A representation of the EulerTour as a Seq[T]

    h

    The depths of the Euler Tour represented as a Seq[Int]

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  1. final def !=(arg0: Any): Boolean
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  13. final def notifyAll(): Unit
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  14. def rmq(x: T, y: T): T

    Range Minimum Query of the Euler Tour.

    Range Minimum Query of the Euler Tour.

    Use this for typical queries.

    x

    The first query bound

    y

    The second query bound

    returns

    The minimum between the first and second query

    Note

    This currently maps to rmqBV, but may choose to map to either rmqBV or rmqNaive

    ,

    The order of x and y does not matter

  15. def rmqBV(x: T, y: T): T

    Range Minimum Query using the Berkman--Vishkin algorithm with the simplifications of Bender--Farach-Colton.

    Range Minimum Query using the Berkman--Vishkin algorithm with the simplifications of Bender--Farach-Colton.

    x

    The first query bound

    y

    The second query bound

    returns

    The minimum between the first and second query

    Note

    The order of x and y does not matter

    ,

    Performance:

    • preprocessing: O(n)
    • query: O(1)
  16. def rmqNaive(x: T, y: T): T

    Range Minimum Query of an Euler Tour using a naive algorithm.

    Range Minimum Query of an Euler Tour using a naive algorithm.

    x

    The first query bound

    y

    The second query bound

    returns

    The minimum between the first and second query

    Note

    The order of x and y does not matter

    ,

    Performance:

    • preprocessing: O(1)
    • query: O(n)
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    Deprecated

    (Since version ) see corresponding Javadoc for more information.

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