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built-in-algorithms/README.md

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- [Speaker Listener Label Propagation](./md/pgx_builtin_c5_speaker_listener_label_propagation.md)
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- [Filtered Speaker Listener Label Propagation](./md/pgx_builtin_c5b_filtered_speaker_listener_label_propagation.md)
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- [Filtered Speaker Listener Label Propagation](./md/pgx_builtin_c5c_filtered_weighted_speaker_listener_label_propagation.md)
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- [Speaker Listener Label Propagation](./md/pgx_builtin_c6_weighted_speaker_listener_label_propagation.md)
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- [Weighted Speaker Listener Label Propagation](./md/pgx_builtin_c6_weighted_speaker_listener_label_propagation.md)
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- Connected components
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- [Strongly Connected Components (SCC) via Kosaraju's algorithm](./md/pgx_builtin_g2a_strongly_connected_components_kosaraju.md)
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- [Strongly Connected Components (SCC) via Tarjan's algorithm](./md/pgx_builtin_g2b_strongly_connected_components_tarjan.md)

built-in-algorithms/md/pgx_builtin_g2b_strongly_connected_components_tarjan.md

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- **Space Requirement:** O(5 * V) with V = number of vertices
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- **Javadoc:**
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- [Analyst#sccTarjan(PgxGraph graph)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#sccTarjan_oracle_pgx_api_PgxGraph_)
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- [Analyst#sccTarjan(PgxGraph graph, VertexProperty<ID,java.lang.Long> partitionDistribution)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#sccTarjan_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexProperty_-)
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- [Analyst#sccTarjan(PgxGraph graph, VertexProperty<ID,java.lang.Long> partitionDistribution)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#sccTarjan_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexProperty_)
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Tarjan's algorithm works on directed graphs for finding strongly connected components (SCC). A SCC is a maximal subset of vertices of the graph with the particular characteristic that every vertex in the SCC can be reachable from any other other vertex in the SCC.
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built-in-algorithms/md/pgx_builtin_k1b_pagerank_approximate.md

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- [Analyst#pagerankApproximate(PgxGraph graph)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#pagerankApproximate_oracle_pgx_api_PgxGraph_)
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- [Analyst#pagerankApproximate(PgxGraph graph, double e, double d, int max)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#pagerankApproximate_oracle_pgx_api_PgxGraph_double_double_int_)
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- [Analyst#pagerankApproximate(PgxGraph graph, double e, double d, int max, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#pagerankApproximate_oracle_pgx_api_PgxGraph_double_double_int_oracle_pgx_api_VertexProperty_)
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- [Analyst#pagerankApproximate(PgxGraph graph, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#pagerankApproximate_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexProperty_-)
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- [Analyst#pagerankApproximate(PgxGraph graph, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#pagerankApproximate_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexProperty_)
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This variant of the PageRank algorithm computes the ranking scores for the vertices in similar way to the classic algorithm without normalization and with a more relaxed convergence criteria, since the tolerated error value is compared against each single vertex in the graph, instead of looking at the cumulative vertex error. Thus this variant will converge faster than the classic algorithm, but the ranking values might not be as accurate as in the classic implementation.
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built-in-algorithms/md/pgx_builtin_k1c_pagerank_weighted.md

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- **Javadoc:**
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- [Analyst#weightedPagerank(PgxGraph graph, boolean norm, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_boolean_oracle_pgx_api_EdgeProperty_)
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- [Analyst#weightedPagerank(PgxGraph graph, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_boolean_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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- [Analyst#weightedPagerank(PgxGraph graph, double e, double d, int max, boolean norm, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_double_double_int_boolean_oracle_pgx_api_EdgeProperty_-)
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- [Analyst#weightedPagerank(PgxGraph graph, double e, double d, int max, boolean norm, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_double_double_int_boolean_oracle_pgx_api_EdgeProperty_)
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- [Analyst#weightedPagerank(PgxGraph graph, double e, double d, int max, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_double_double_int_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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- [Analyst#weightedPagerank(PgxGraph graph, double e, double d, int max, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_double_double_int_oracle_pgx_api_EdgeProperty_)
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- [Analyst#weightedPagerank(PgxGraph graph, double e, double d, int max, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_double_double_int_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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- [Analyst#weightedPagerank-oracle.pgx.api.PgxGraph-oracle.pgx.api.EdgeProperty-](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_EdgeProperty_))
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- [Analyst#weightedPagerank-oracle.pgx.api.PgxGraph-oracle.pgx.api.EdgeProperty-](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_EdgeProperty_)
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- [Analyst#weightedPagerank(PgxGraph graph, double e, double d, int max, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#weightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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The Weighted PageRank works like the original PageRank algorithm, except that it allows for a weight value assigned to each edge. This weight determines the fraction of the PageRank score that will flow from the source vertex through the current edge to its destination vertex.

built-in-algorithms/md/pgx_builtin_k2b_personalized_pagerank_from_set.md

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- [Analyst#personalizedPagerank(PgxGraph graph, VertexSet<ID> vertices, double e, double d, int max, boolean norm)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_double_double_int_boolean_)
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- [Analyst#personalizedPagerank(PgxGraph graph, VertexSet<ID> vertices, double e, double d, int max, boolean norm, VertexProperty<ID,​java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_double_double_int_boolean_oracle_pgx_api_VertexProperty_)
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- [Analyst#personalizedPagerank(PgxGraph graph, VertexSet<ID> vertices, double e, double d, int max, VertexProperty<ID,​java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_double_double_int_oracle_pgx_api_VertexProperty_)
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- [Analyst#personalizedPagerank(PgxGraph graph, VertexSet<ID> vertices, VertexProperty<ID,​java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_oracle_pgx_api_VertexProperty_)
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- [Analyst#personalizedPagerank(PgxGraph graph, VertexSet<ID> vertices, VertexProperty<ID,​java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_oracle_pgx_api_VertexProperty_)
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The Personalized Pagerank allows to select a particular vertex or a set of vertices from the given graph in order to give them a greater importance when computing the ranking score, which will have as result a personalized Pagerank score and reveal relevant (or similar) vertices to the ones chosen at the beginning.
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## Signature
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| Input Argument | Type | Comment |

built-in-algorithms/md/pgx_builtin_k2c_personalized_weighted_pagerank.md

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- **Javadoc:**
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, PgxVertex<ID> v, boolean norm, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_boolean_oracle_pgx_api_EdgeProperty_)
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, PgxVertex<ID> v, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_boolean_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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<!---> - [Analyst#personalizedWeightedPagerank-oracle.pgx.api.PgxGraph-oracle.pgx.api.PgxVertex-double-double-int-boolean-oracle.pgx.api.EdgeProperty-](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank(PgxGraph)) --->
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, PgxVertex v, double e, double d, int max, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_ID_java_math_BigDecimal_java_math_BigDecimal_int_boolean_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, PgxVertex<ID> v, double e, double d, int max, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_ID_java_math_BigDecimal_java_math_BigDecimal_int_oracle_pgx_api_EdgeProperty_)
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, PgxVertex<ID> v, double e, double d, int max, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_ID_java_math_BigDecimal_java_math_BigDecimal_int_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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The Personalized Weighted Pagerank combines elements from the weighted and the personalized versions in order to make the personalization of the results more unique, since both: the selection of a subset of vertices and the inclusion of specific weights in the edges, will help to set the importance of the ranking scores when these are being computed.
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## Signature
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| Input Argument | Type | Comment |

built-in-algorithms/md/pgx_builtin_k2d_personalized_weighted_pagerank_from_set.md

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- **Javadoc:**
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, VertexSet<ID> vertices, boolean norm, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_boolean_oracle_pgx_api_EdgeProperty_)
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, VertexSet<ID> vertices, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_boolean_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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<!---> - [Analyst#personalizedWeightedPagerank-oracle.pgx.api.PgxGraph-oracle.pgx.api.VertexSet-double-double-int-boolean-oracle.pgx.api.EdgeProperty-]https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank(PgxGraph%20graph,%20VertexSet%3CID%3E%20vertices,%20double%20e,%20double%20d,%20int%20max,%20boolean%20norm,%20EdgeProperty%3Cjava.lang.Double%3E%20weight))--->
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, VertexSet<ID> vertices, double e, double d, int max, boolean norm, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_double_double_int_boolean_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, VertexSet<ID> vertices, double e, double d, int max, EdgeProperty<java.lang.Double> weight)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_double_double_int_oracle_pgx_api_EdgeProperty_)
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- [Analyst#personalizedWeightedPagerank(PgxGraph graph, VertexSet<ID> vertices, double e, double d, int max, EdgeProperty<java.lang.Double> weight, VertexProperty<ID,java.lang.Double> rank)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#personalizedWeightedPagerank_oracle_pgx_api_PgxGraph_oracle_pgx_api_VertexSet_double_double_int_oracle_pgx_api_EdgeProperty_oracle_pgx_api_VertexProperty_)

built-in-algorithms/md/pgx_builtin_l1_whom_to_follow.md

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- **Space Requirement:** O(5 * V) with V = number of vertices
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_ID_int_-)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK, int sizeCircleOfTrust)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_ID_int_int_-)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_ID_int_)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK, int sizeCircleOfTrust)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_ID_int_int_)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK, int sizeCircleOfTrust, int maxIter, double tol, double dampingFactor, int salsaMaxIter, double salsaTol)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_int_int_int_double_double_int_double_)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK, int sizeCircleOfTrust, int maxIter, double tol, double dampingFactor, int salsaMaxIter, double salsaTol, VertexSequence<ID> hubs, VertexSequence<ID> authorities)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_int_int_int_double_double_int_double_oracle_pgx_api_VertexSequence_oracle_pgx_api_VertexSequence_)
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- [Analyst#whomToFollow(PgxGraph graph, PgxVertex<ID> vertex, int topK, int sizeCircleOfTrust, VertexSequence<ID> hubs, VertexSequence<ID> authorities)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#whomToFollow_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_int_int_oracle_pgx_api_VertexSequence_oracle_pgx_api_VertexSequence_)

built-in-algorithms/md/pgx_builtin_o2_filtered_dfs.md

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- [Analyst#filteredDfs(PgxGraph graph, PgxVertex<ID> root, int maxDepth)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#filteredDfs_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_int_)
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- [Analyst#filteredDfs(PgxGraph graph, PgxVertex<ID> root, VertexFilter navigator)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#filteredDfs_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_oracle_pgx_api_filter_VertexFilter_)
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- [Analyst#filteredDfs(PgxGraph graph, PgxVertex<ID> root, VertexFilter navigator, boolean initWithInf)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#filteredDfs_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_oracle_pgx_api_filter_VertexFilter_boolean_)
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- [Analyst#filteredDfs(PgxGraph graph, PgxVertex<ID> root, VertexFilter navigator, boolean initWithInf, int maxDepth)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#filteredDfs_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_oracle_pgx_api_filter_VertexFilter_boolean_int__)
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- [Analyst#filteredDfs(PgxGraph graph, PgxVertex<ID> root, VertexFilter navigator, boolean initWithInf, int maxDepth)](https://docs.oracle.com/en/database/oracle/property-graph/24.3/spgjv/oracle/pgx/api/Analyst.html#filteredDfs_oracle_pgx_api_PgxGraph_oracle_pgx_api_PgxVertex_oracle_pgx_api_filter_VertexFilter_boolean_int_)
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