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https://github.com/kalmarek/SmallHyperbolic
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add python script to generate morphisms json
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@ -1,3 +1,4 @@
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digraph {
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"G^{14,14,48}_{0}" -> "G^{14,14,24}_{1}"
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"G^{14,14,48}_{0}" -> "G^{14,14,24}_{1}"
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"G^{14,14,48}_{0}" -> "G^{14,14,16}_{1}"
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"G^{14,14,48}_{0}" -> "G^{14,14,16}_{1}"
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"G^{14,14,48}_{1}" -> "G^{14,14,24}_{0}"
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"G^{14,14,48}_{1}" -> "G^{14,14,24}_{0}"
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@ -302,3 +303,4 @@
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"G^{54,54,54}_{2}" -> "G^{18,54,54}_{0}"
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"G^{54,54,54}_{2}" -> "G^{18,54,54}_{0}"
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"G^{54,54,54}_{2}" -> "G^{18,54,54}_{8}"
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"G^{54,54,54}_{2}" -> "G^{18,54,54}_{8}"
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"G^{54,54,54}_{2}" -> "G^{18,54,54}_{2}"
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"G^{54,54,54}_{2}" -> "G^{18,54,54}_{2}"
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}
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41
scripts/morphisms/connected_components.py
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41
scripts/morphisms/connected_components.py
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import networkx
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import json
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import os
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DATA_DIR = os.path.join("..", "..", "data")
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MORPHISMS_FILE = os.path.join(DATA_DIR, "morphisms.dot")
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MORPHISMS_JSON = os.path.join(DATA_DIR, "triangle_groups_morphisms.json")
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def level(G, node):
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parents = list(G.predecessors(node))
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if len(parents) == 0:
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return 0
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else:
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return 1 + max([level(G, n) for n in parents])
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def nodes_from_component(G, cc, graph_json):
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subG = networkx.induced_subgraph(G, cc)
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assert networkx.is_weakly_connected(subG)
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root = [n for n,d in subG.in_degree() if d==0][0]
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for node in graph_json["nodes"]:
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if node["id"] in subG:
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print(node)
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n = node["id"]
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node["level"] = level(G, n)
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node["component_id"] = root
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return graph_json
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G = networkx.nx_pydot.read_dot(MORPHISMS_FILE)
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G_json = networkx.node_link_data(G)
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G_components = networkx.weakly_connected_components(G)
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for cc in G_components:
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nodes_from_component(G, cc, G_json)
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with open(MORPHISMS_JSON, "w") as file:
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print("writing to ", MORPHISMS_JSON, "\n")
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json.dump(G_json, file, indent=4)
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