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Last active January 31, 2021 21:19
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Tarjan's algorithm for Scala
package tarjan
import scala.collection.mutable
// See python version: https://github.com/bwesterb/py-tarjan
/**
* Tarjan's algorithm is an algorithm in graph theory for finding the strongly connected components of a directed graph. It runs in linear time,
* matching the time bound for alternative methods including Kosaraju's algorithm and the path-based strong component algorithm.
*/
class TarjanRecursive {
/**
* The algorithm takes a directed graph as input, a
* nd produces a partition of the graph's vertices into the graph's strongly connected components.
* @param g the graph
* @return the strongly connected components of g
*/
def apply(g: Map[Int, List[Int]]): mutable.Buffer[mutable.Buffer[Int]] = {
val s = mutable.Buffer.empty[Int]
val s_set = mutable.Set.empty[Int]
val index = mutable.Map.empty[Int, Int]
val lowlink = mutable.Map.empty[Int, Int]
val ret = mutable.Buffer.empty[mutable.Buffer[Int]]
def visit(v: Int): Unit = {
index(v) = index.size
lowlink(v) = index(v)
s += v
s_set += v
for (w <- g(v)) {
if (!index.contains(w)) {
visit(w)
lowlink(v) = math.min(lowlink(w), lowlink(v))
} else if (s_set(w)) {
lowlink(v) = math.min(lowlink(v), index(w))
}
}
if (lowlink(v) == index(v)) {
val scc = mutable.Buffer.empty[Int]
var w = -1
while(v != w) {
w = s.remove(s.size - 1)
scc += w
s_set -= w
}
ret += scc
}
}
for (v <- g.keys) if (!index.contains(v)) visit(v)
ret
}
}
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