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9 changes: 7 additions & 2 deletions core/src/main/scala/org/graphframes/lib/KCore.scala
Original file line number Diff line number Diff line change
Expand Up @@ -28,6 +28,11 @@ import org.graphframes.WithLocalCheckpoints
*
* Mandal, Aritra, and Mohammad Al Hasan. "A distributed k-core decomposition algorithm on spark."
* 2017 IEEE International Conference on Big Data (Big Data). IEEE, 2017.
*
* '''Edge representation''': K-core decomposition is defined for undirected graphs. Since
* GraphFrames represents edges as directed, each undirected edge `{u, v}` should be supplied as a
* single directed edge in either direction — the algorithm symmetrizes internally. Supplying both
* `(u, v)` and `(v, u)` will double-count the edge and produce incorrect results.
*/
class KCore private[graphframes] (private val graph: GraphFrame)
extends Serializable
Expand Down Expand Up @@ -80,8 +85,8 @@ object KCore extends Serializable with Logging {
kCoreColumnName,
col("degree"),
call_function("_kcoreMerge", Pregel.msg, col(kCoreColumnName)))
.sendMsgToSrc(Pregel.src(kCoreColumnName))
.sendMsgToDst(Pregel.dst(kCoreColumnName))
.sendMsgToSrc(Pregel.dst(kCoreColumnName))
.sendMsgToDst(Pregel.src(kCoreColumnName))
.setInitialActiveVertexExpression(lit(true))
.setUpdateActiveVertexExpression(
col(kCoreColumnName) =!= call_function("_kcoreMerge", Pregel.msg, col(kCoreColumnName)))
Expand Down
58 changes: 43 additions & 15 deletions core/src/test/scala/org/graphframes/lib/KCoreSuite.scala
Original file line number Diff line number Diff line change
Expand Up @@ -65,31 +65,27 @@ class KCoreSuite extends SparkFunSuite with GraphFrameTestSparkContext {
TestUtils.checkColumnType(result.schema, "kcore", DataTypes.IntegerType)
assert(result.count() === 4)
val rows = result.collect()
// Center vertex should have k-core value of 3, leaf vertices should have k-core value of 1
// All vertices have k-core = 1: despite the center having degree 3, each leaf has
// only one neighbor so no 2-core can form, pulling everything down to 1.
rows.foreach { row =>
val id = row.getAs[Long]("id")
val kcore = row.getAs[Int]("kcore")
if (id == 0L) {
assert(kcore === 3)
} else {
assert(kcore === 1)
}
assert(row.getAs[Int]("kcore") === 1)
}
result.unpersist()
}

test("chain graph") {
// Open chain: 0 - 1 - 2.
// No 2-core exists: endpoints have degree 1, so the whole graph is only a 1-core.
// All vertices get kcore = 1.
val v = spark.createDataFrame(Seq((0L, "a"), (1L, "b"), (2L, "c"))).toDF("id", "name")
val e = spark.createDataFrame(Seq((0L, 1L), (1L, 2L), (2L, 0L))).toDF("src", "dst")
val e = spark.createDataFrame(Seq((0L, 1L), (1L, 2L))).toDF("src", "dst")
val g = GraphFrame(v, e)
val result = g.kCore.run()
TestUtils.checkColumnType(result.schema, "kcore", DataTypes.IntegerType)
assert(result.count() === 3)
val rows = result.collect()
// All vertices should have k-core value of 2
// because graph is cosidered as undirected
rows.foreach { row =>
assert(row.getAs[Int]("kcore") === 2)
assert(row.getAs[Int]("kcore") === 1)
}
result.unpersist()
}
Expand Down Expand Up @@ -188,14 +184,14 @@ class KCoreSuite extends SparkFunSuite with GraphFrameTestSparkContext {
val rows = result.collect()
// Check that we have a range of k-core values
val kcoreValues = rows.map(_.getAs[Int]("kcore")).distinct.sorted
assert(kcoreValues.length > 3, "Should have more than 3 distinct k-core values")
assert(kcoreValues.length > 2, "Should have at least 3 distinct k-core values")

// Verify specific expected patterns
val kcoreMap = rows.map(row => row.getAs[Long]("id") -> row.getAs[Int]("kcore")).toMap

// Vertices in the highly connected cluster should have higher k-core values
assert(kcoreMap(0L) >= 4, "Central vertex should have high k-core")
assert(kcoreMap(1L) >= 3, "Well-connected vertex should have medium-high k-core")
assert(kcoreMap(0L) >= 3, "Central vertex should have high k-core")
assert(kcoreMap(1L) >= 3, "Well-connected vertex should have high k-core")

// Leaf nodes should have lower k-core values
assert(kcoreMap(18L) <= 2, "Leaf node should have low k-core")
Expand Down Expand Up @@ -294,4 +290,36 @@ class KCoreSuite extends SparkFunSuite with GraphFrameTestSparkContext {

result.unpersist()
}

test("triangle with tail - exact kcore values") {
// This graph has vertices where degree != kcore, which is important to test correctness:
// it would catch a buggy implementation that converges too early (e.g. after one superstep), which
// would return kcore = degree for all vertices and pass simpler tests.
//
// Undirected graph:
//
// Triangle: 1 - 2 - 3 - 1 (kcore = 2, they form the 2-core)
// Tail: 1 - 4 - 5 (kcore = 1, pendant chain excluded from the 2-core)
//
// Degrees: 1→3, 2→2, 3→2, 4→2, 5→1 (degree != kcore for vertices 1 and 4)
val v = spark
.createDataFrame(Seq((1L, "a"), (2L, "b"), (3L, "c"), (4L, "d"), (5L, "e")))
.toDF("id", "name")
val e = spark
.createDataFrame(Seq((1L, 2L), (2L, 3L), (3L, 1L), (1L, 4L), (4L, 5L)))
.toDF("src", "dst")
val g = GraphFrame(v, e)
val result = g.kCore.run()
TestUtils.checkColumnType(result.schema, "kcore", DataTypes.IntegerType)
assert(result.count() === 5)
val kcoreMap = result.collect().map(r => r.getAs[Long]("id") -> r.getAs[Int]("kcore")).toMap
// Triangle vertices form the 2-core
assert(kcoreMap(1L) === 2)
assert(kcoreMap(2L) === 2)
assert(kcoreMap(3L) === 2)
// Tail vertices are only in the 1-core
assert(kcoreMap(4L) === 1)
assert(kcoreMap(5L) === 1)
result.unpersist()
}
}