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missing.topology

Simple graph functions for graphs in adjacency map form.

Simple graph functions for graphs in adjacency map form.
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append-edgeclj

(append-edge g [from to])

Appends an edge to a graph.

Appends an edge to a graph.
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append-pathclj

(append-path g path)

Appends a path onto a graph.

Appends a path onto a graph.
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bidirectionalclj

(bidirectional g)

Returns a new graph where all edges go both directions.

Returns a new graph where all edges go both directions.
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branchesclj

(branches g)

Returns the branches of the tree.

Returns the branches of the tree.
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bridge?clj

(bridge? g edge)

Is the given edge a bridge of the graph g?

Is the given edge a bridge of the graph g?
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bridgesclj

(bridges g)

Returns the edges whose removal would alter the transitive closure of the graph (increase the number of connected components).

Returns the edges whose removal would alter the transitive closure
of the graph (increase the number of connected components).
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cluster-byclj

(cluster-by f coll)

Returns a set of sets where each set contains items from coll that shared any clustering keys. f is a function that returns a collection of cluster keys. Elements that produce at least one overlapping cluster key will be grouped into the same cluster.

Returns a set of sets where each set contains items from coll that shared
any clustering keys. f is a function that returns a collection of cluster keys.
Elements that produce at least one overlapping cluster key will be grouped into
the same cluster.
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complementclj

(complement g)

Returns the difference between fully connected g and g

Returns the difference between fully connected g and g
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completeclj

(complete g)

Returns the fully connected variant of g

Returns the fully connected variant of g
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complete?clj

(complete? g)

Is the graph complete?

Is the graph complete?
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componentsclj

(components g)

Returns all sets of connected nodes from the graph.

Returns all sets of connected nodes from the graph.
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connected?clj

(connected? g)

Can you navigate from any starting node to any other node?

Can you navigate from any starting node to any other node?
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consumersclj

(consumers g)

Get all nodes with inbound edges.

Get all nodes with inbound edges.
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contractgclj

(contractg pred g)

Removes nodes that match pred and adds new edges between inbound and outbound neighbors of each node impacted (leaves the transitive closure otherwise intact).

Removes nodes that match pred and adds new edges between
inbound and outbound neighbors of each node impacted
(leaves the transitive closure otherwise intact).
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cyclical?clj

(cyclical? g)

Are there cycles in this graph?

Are there cycles in this graph?
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defgncljmacro

(defgn symbol docs bindings & body)

Like defn but handles normalizing any 'g or g{digit}' arguments first.

Like defn but handles normalizing any 'g or g{digit}' arguments first.
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degreeclj

(degree g n)

How many edges does this node have?

How many edges does this node have?
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differenceclj

(difference g1 g2)

Subtract g2 from g1.

Subtract g2 from g1.
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edgesclj

(edges g)

Get the set of edges of graph g.

Get the set of edges of graph g.
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emptyclj

(empty g)

Returns a graph with the same nodes as g but no edges.

Returns a graph with the same nodes as g but no edges.
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exclusive?clj

(exclusive? g1 g2)

Returns whether the graphs don't overlap.

Returns whether the graphs don't overlap.
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expandgclj

(expandg f g)

Expand nodes into more nodes while maintaining all the same edges between any new nodes.

Expand nodes into more nodes while maintaining all the same edges
between any new nodes.
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exteriorclj

(exterior g)

Returns the exterior nodes of the graph.

Returns the exterior nodes of the graph.
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filtergclj

(filterg pred g)

Only keep nodes in the graph that satisfy pred. All inbound and outbound edges involving removed nodes are also removed.

Only keep nodes in the graph that satisfy pred. All
inbound and outbound edges involving removed nodes are
also removed.
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graphclj

(graph edges)
(graph nodes edges)

Create a graph from a set of edges

Create a graph from a set of edges
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incoming-degreeclj

(incoming-degree g n)

Gets the incoming degree of n.

Gets the incoming degree of n.
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incoming-edgesclj

(incoming-edges g n)

Get all edges that go from another node to n.

Get all edges that go from another node to n.
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incoming-neighborsclj

(incoming-neighbors g n)

Gets the neighbors of n from any inbound edges.

Gets the neighbors of n from any inbound edges.
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interiorclj

(interior g)

Returns the interior nodes of the graph.

Returns the interior nodes of the graph.
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intersect?clj

(intersect? g1 g2)

Returns whether the graphs overlap.

Returns whether the graphs overlap.
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intersectionclj

(intersection g1 g2)

Intersect two graphs.

Intersect two graphs.
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inverseclj

(inverse g)

Invert the graph by reversing all edges.

Invert the graph by reversing all edges.
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leavesclj

(leaves g)

Returns the leaves of the tree.

Returns the leaves of the tree.
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mapgclj

(mapg f g)

Transform nodes in the graph according to f.

Transform nodes in the graph according to f.
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neighborsclj

(neighbors g n)

Gets all the neighbors of n.

Gets all the neighbors of n.
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nodesclj

(nodes g)

Get all nodes from the graph g.

Get all nodes from the graph g.
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normalizeclj

(normalize g)

Given an adjacency with potentially missing entries, populate the entries based on the appearance of other nodes on the right side of an edge. Tags the result with metadata, so it doesn't recompute for repeat invocations.

Given an adjacency with potentially missing entries, populate
the entries based on the appearance of other nodes on the right
side of an edge. Tags the result with metadata, so it doesn't
recompute for repeat invocations.
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outgoing-degreeclj

(outgoing-degree g n)

Gets the outgoing degree of n.

Gets the outgoing degree of n.
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outgoing-edgesclj

(outgoing-edges g n)

Get all edges that go from n to another node.

Get all edges that go from n to another node.
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outgoing-neighborsclj

(outgoing-neighbors g n)

Gets the neighbors of n from any outbound edges.

Gets the neighbors of n from any outbound edges.
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producersclj

(producers g)

Get all nodes with outbound edges.

Get all nodes with outbound edges.
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remove-edgeclj

(remove-edge g [from to])

Removes an edge from a graph.

Removes an edge from a graph.
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remove-pathclj

(remove-path g path)

Removes a path from a graph.

Removes a path from a graph.
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removegclj

(removeg pred g)

Remove nodes in the graph that satisfy pred. All inbound and outbound edges involving removed nodes are also removed.

Remove nodes in the graph that satisfy pred. All
inbound and outbound edges involving removed nodes
are also removed.
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rootclj

(root g)

Returns the root of the graph if any, else nil.

Returns the root of the graph if any, else nil.
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select-nodesclj

(select-nodes g nodes)

Return the subgraph of g that consists of nodes

Return the subgraph of g that consists of nodes
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self-loopedclj

(self-looped g)

Returns a new graph where self-loops were added to all nodes in g.

Returns a new graph where self-loops were added to all nodes in g.
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self-loopsclj

(self-loops g)

Returns the nodes that have self-loops.

Returns the nodes that have self-loops.
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shortest-pathsclj

(shortest-paths g & [weight-fn])

Uses Floyd-Warshall to returns a map of {[source destination] {:distance <num> :path [source ... destination]}} for the given graph. Uses weight-fn (a function of two nodes) to assign a cost to edges.

Uses Floyd-Warshall to returns a map of
{[source destination] {:distance <num> :path [source ... destination]}}
for the given graph. Uses weight-fn (a function of two nodes) to assign a
cost to edges.
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sink?clj

(sink? g n)

Is n a node with no outgoing edges?

Is n a node with no outgoing edges?
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sinksclj

(sinks g)

Get all nodes with no outbound edges.

Get all nodes with no outbound edges.
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source?clj

(source? g n)

Is n a node with no incoming edges?

Is n a node with no incoming edges?
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sourcesclj

(sources g)

Get all nodes with no inbound edges.

Get all nodes with no inbound edges.
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subgraph?clj

(subgraph? g1 g2)

Is g1 a subgraph of g2?

Is g1 a subgraph of g2?
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supergraph?clj

(supergraph? g1 g2)

Is g1 a supergraph of g2?

Is g1 a supergraph of g2?
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symmetric-differenceclj

(symmetric-difference g1 g2)

Returns the union of the exclusive sections of g1 and g2.

Returns the union of the exclusive sections of g1 and g2.
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topological-sortclj

(topological-sort g)

Returns a topological sort of the adjacency map

Returns a topological sort of the adjacency map
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topological-sort-with-groupingclj

(topological-sort-with-grouping g)

Returns a topological sort of the adjacency map and partition items into sets where order is arbitrary.

Returns a topological sort of the adjacency map and
partition items into sets where order is arbitrary.
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transitive-closureclj

(transitive-closure g)

Creates new edges on g such that every node connects directly to any node that could previously have been connected indirectly.

Creates new edges on g such that every node connects directly to any
node that could previously have been connected indirectly.
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transitive-differenceclj

(transitive-difference g1 g2)

Returns the subgraph of g1 that isn't transitively referenced by g2.

Returns the subgraph of g1 that isn't transitively referenced by g2.
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transitive-intersectionclj

(transitive-intersection g1 g2)

The intersection of g1 and g2, extended by anything transitively reachable in either graph.

The intersection of g1 and g2, extended by anything transitively reachable in either graph.
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transitive-select-nodesclj

(transitive-select-nodes g nodes)

Return the subgraph of g that is reachable from any of the provided nodes

Return the subgraph of g that is reachable from any of the provided nodes
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transitive-symmetric-differenceclj

(transitive-symmetric-difference g1 g2)

Returns the union of those subgraphs which appear in either g1 or g2 but do not appear in their transitive intersection.

Returns the union of those subgraphs which appear in either g1 or g2 but do not appear in their
transitive intersection.
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transitive-unionclj

(transitive-union g1 g2)

Returns g1 extended by the transitive intersection of g1 and g2.

Returns g1 extended by the transitive intersection of g1 and g2.
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tree?clj

(tree? g)

Is this graph a tree?

Is this graph a tree?
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unionclj

(union g1 g2)

Union two graphs together.

Union two graphs together.
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walk?clj

(walk? g [x1 x2 & xs])

Check if the given walk is valid for the graph.

Check if the given walk is valid for the graph.
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