Propogation time with loops

3747 days ago by butler

def prop_time_unlooped(G,S): """ Determine the propogation time of S in G assuming all the vertices are unlooped. """ V=set(G.vertices()) count = 0 done = False active = set(S) filled = set(S) for v in V: N=set(G.neighbors(v)) if v in active and N.issubset(filled): active.remove(v) if (v not in active) and (len(N.intersection(filled)) == G.degree(v)-1): active.add(v) while not done: done = True new_active = copy(active) new_filled = copy(filled) for v in active: N=set(G.neighbors(v)) if len(N.intersection(filled)) == G.degree(v)-1: if done: done = False count += 1 N.symmetric_difference_update(N.intersection(filled)) u=N.pop() new_active.remove(v) new_active.add(u) new_filled.add(u) active = copy(new_active) filled = copy(new_filled) for v in V: N=set(G.neighbors(v)) if v in active and N.issubset(filled): active.remove(v) if (v not in active) and (len(N.intersection(filled)) == G.degree(v)-1): active.add(v) if len(filled)==len(V): return count return -1 def pt_set(G): """ given a graph G computes all possible propagation times and returns as list of lists """ H=copy(G) H.relabel() all_times=[] for i in range(H.order()): i_times=[] for S in Combinations(range(H.order()),i): q=prop_time_unlooped(H,S) if q>-1 and q not in i_times: i_times.append(q) i_times.sort() all_times.append(i_times) all_times.append([0]) return all_times 
       
html('<!--notruncate-->') for n in [2,3,4,5,6,7]: s=str(n)+" -c" for g in graphs.nauty_geng(s): g.show() pt_set(g) print "======================================" 
        
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[[], [], [], [1, 2], [1, 2], [1, 2], [1], [0]]
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[[], [3, 5], [3, 4], [2, 3, 4], [2, 3], [1, 2], [1], [0]]
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[[], [], [], [2, 3], [2, 3], [1, 2], [1], [0]]
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[[], [5], [4, 5], [2, 3, 4], [2, 3], [1, 2], [1], [0]]
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[[], [], [], [2, 3], [2, 3], [1, 2], [1], [0]]
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[[], [], [], [], [], [1], [1], [0]]
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[[], [], [], [], [], [1], [1], [0]]
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[[1], [1], [0]]
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[[], [], [], [1], [1], [0]]
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[[2], [2], [1, 2], [1, 2], [1, 2], [1], [0]]
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[[], [], [3], [2, 3], [1, 2], [1], [0]]
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[[], [], [], [], [1], [1], [0]]
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[[], [], [], [2, 3], [2, 3], [1, 2], [1], [0]]
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