.. index:: single: weighted_directed_graph(Dictionary)
.. _weighted_directed_graph/1:

.. rst-class:: right

**object**

``weighted_directed_graph(Dictionary)``
=======================================

Weighted directed graph predicates using a dictionary representation. Edge weights use a pair representation (Vertex-Weight in neighbor lists, (Vertex1-Vertex2)-Weight for edge lists). The parametric object parameter is the dictionary to use for the graph representation.

| **Availability:** 
|    ``logtalk_load(graphs(loader))``

| **Author:** Paulo Moura
| **Version:** 1:0:0
| **Date:** 2026-02-20

| **Compilation flags:**
|    ``static, context_switching_calls``


| **Imports:**
|    ``public`` :ref:`weighted_graph_common(Dictionary) <weighted_graph_common/1>`
|    ``public`` :ref:`directed_graph_common <directed_graph_common/0>`
| **Uses:**
|    :ref:`pairs <pairs/0>`

| **Remarks:**
|    (none)

| **Inherited public predicates:**
|     :ref:`weighted_graph_protocol/0::add_edge/5`  :ref:`graph_protocol/0::add_edges/3`  :ref:`graph_protocol/0::add_vertex/3`  :ref:`graph_protocol/0::add_vertices/3`  :ref:`graph_protocol/0::all_pairs_min_paths/2`  :ref:`graph_protocol/0::all_pairs_min_predecessors/2`  :ref:`graph_protocol/0::breadth_first_order/3`  :ref:`directed_graph_protocol/0::cycle/2`  :ref:`weighted_graph_protocol/0::delete_edge/5`  :ref:`graph_protocol/0::delete_edges/3`  :ref:`graph_protocol/0::delete_vertex/3`  :ref:`graph_protocol/0::delete_vertices/3`  :ref:`graph_protocol/0::depth_first_order/3`  :ref:`weighted_graph_protocol/0::edge/4`  :ref:`graph_protocol/0::edges/2`  :ref:`graph_protocol/0::empty/1`  :ref:`directed_graph_protocol/0::has_cycle/1`  :ref:`weighted_graph_protocol/0::has_negative_cycle/1`  :ref:`graph_protocol/0::has_path/3`  :ref:`directed_graph_protocol/0::in_degree/3`  :ref:`directed_graph_protocol/0::is_acyclic/1`  :ref:`graph_protocol/0::is_bipartite/1`  :ref:`graph_protocol/0::is_complete/1`  :ref:`graph_protocol/0::is_sparse/1`  :ref:`graph_protocol/0::max_path/5`  :ref:`graph_protocol/0::min_distances/3`  :ref:`graph_protocol/0::min_path/5`  :ref:`weighted_graph_protocol/0::min_path_bellman_ford/5`  :ref:`graph_protocol/0::min_predecessors/3`  :ref:`graph_protocol/0::neighbors/3`  :ref:`graph_protocol/0::new/1`  :ref:`graph_protocol/0::new/2`  :ref:`graph_protocol/0::new/3`  :ref:`graph_protocol/0::number_of_edges/2`  :ref:`graph_protocol/0::number_of_vertices/2`  :ref:`directed_graph_protocol/0::out_degree/3`  :ref:`graph_protocol/0::path/3`  :ref:`graph_protocol/0::reachable/3`  :ref:`directed_graph_protocol/0::strongly_connected_components/2`  :ref:`directed_graph_protocol/0::symmetric_closure/2`  :ref:`directed_graph_protocol/0::topological_sort/2`  :ref:`directed_graph_protocol/0::transitive_closure/2`  :ref:`directed_graph_protocol/0::transpose/2`  :ref:`graph_protocol/0::vertices/2`  :ref:`directed_graph_protocol/0::weakly_connected_components/2`  :ref:`weighted_graph_protocol/0::wneighbors/3`  

.. contents::
   :local:
   :backlinks: top

Public predicates
-----------------

.. index:: min_paths/3
.. _weighted_directed_graph/1::min_paths/3:

``min_paths/3``
^^^^^^^^^^^^^^^

Computes shortest path tree from ``Vertex1`` to all reachable vertices.

| **Compilation flags:**
|    ``static``

| **Template:**
|    ``min_paths(Vertex1,Graph,PathTree)``
| **Mode and number of proofs:**
|    ``min_paths(+vertex,+graph,-graph)`` - ``zero_or_one``


------------

Protected predicates
--------------------

(no local declarations; see entity ancestors if any)

Private predicates
------------------

(no local declarations; see entity ancestors if any)

Operators
---------

(none)

