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Basic graph utility functions class (Ruby)
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| # This is a very simple hash based graph utility class. | |
| # By Mykl Clason | |
| class Graph | |
| def self.undirected_graph_from_edges(edges) | |
| # Edges are (a,b) pairs with a => b and b => a relationships. | |
| graph = {} | |
| edges.each do |source, adjacency| | |
| graph[source] = Set.new unless graph[source].present? | |
| graph[adjacency] = Set.new unless graph[adjacency].present? | |
| graph[source].add(adjacency) | |
| graph[adjacency].add(source) | |
| end | |
| graph | |
| end | |
| def self.directed_graph_from_edges(edges) | |
| # Edges are (a,b) pairs with a => b relationships. | |
| graph = {} | |
| edges.each do |source, adjacency| | |
| graph[source] = Set.new unless graph[source].present? | |
| graph[source].add(adjacency) | |
| end | |
| graph | |
| end | |
| def self.invert(graph) | |
| # Reverses direction of graph | |
| edges = [] | |
| graph.each do |node, adjacencies| | |
| adjacencies.each do |adjacency| | |
| edges.push [adjacency, node] | |
| end | |
| end | |
| directed_graph_from_edges(edges) | |
| end | |
| def self.diff(graph, subgraph) | |
| # Generates a new graph that is graph - subgraph | |
| new_graph = graph.deep_dup | |
| subgraph.each do |node, connections| | |
| new_graph[node] = new_graph[node] - connections if new_graph[node].present? | |
| new_graph.delete(node) unless new_graph[node].present? | |
| end | |
| new_graph | |
| end | |
| def self.intersect(primary_graph, secondary_graph) | |
| # Generates a new graph that is primary_graph | secondary_graph | |
| new_graph = {} | |
| nodes = (primary_graph.keys + secondary_graph.keys).uniq | |
| nodes.each do |node| | |
| node_intersect = (primary_graph[node] || Set.new) & (secondary_graph[node] || Set.new) | |
| new_graph[node] = node_intersect if node_intersect.present? | |
| end | |
| new_graph | |
| end | |
| def self.union(primary_graph, secondary_graph) | |
| # Generates a new graph that is primary_graph & secondary_graph | |
| new_graph = {} | |
| nodes = (primary_graph.keys + secondary_graph.keys).uniq | |
| nodes.each do |node| | |
| new_graph[node] = (primary_graph[node] || Set.new) | (secondary_graph[node] || Set.new) | |
| end | |
| new_graph | |
| end | |
| def self.adjacency_counter_hash(graph) | |
| # Generates a hash of the counts of the adjacencies | |
| hash_counter = {} | |
| graph.values.map(&:size).each do |size| | |
| hash_counter[size] = (hash_counter[size] || 0) + 1 | |
| end | |
| hash_counter | |
| end | |
| def self.adjacency_size_map(graph) | |
| graph.map { |node, adjacencies| [node, adjacencies.size] }.to_h | |
| end | |
| def self.adjacency_counts(graph) | |
| graph.values.map(&:size) | |
| end | |
| def self.size(graph) | |
| graph_vertex_sizes(graph).sum | |
| end | |
| def self.vertex_subset(graph, vertex_set) | |
| # Creates a subset of the graph that contains only the vertex set | |
| vertex_set = vertex_set.to_set | |
| new_graph = {} | |
| vertex_set.each do |vertex| | |
| connections = graph[vertex] | |
| next unless connections.present? | |
| connections = (graph[vertex] || Set.new) & vertex_set | |
| new_graph[vertex] = connections if connections.present? | |
| end | |
| new_graph | |
| end | |
| end |
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