Ejemplo n.º 1
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 def testEvenHoleFree(self):
     g = make_cycle(4)
     self.assertEqual(even_hole_free(g), False)
     g = make_cycle(5)
     self.assertEqual(even_hole_free(g), True)
     g = make_cycle(10)
     self.assertEqual(even_hole_free(g), False)
Ejemplo n.º 2
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 def testColoringHardGraph(self):
     # C5 + 5 Xi
     g = make_cycle(5)
     index = 0
     for i in range(5, 10):
         g.add_node(i)
         # make it a two vertex
         g.add_edge(i, (index+0) % 5) # xi
         g.add_edge(i, (index+1) % 5)
         index += 1
     g.add_edge(5, 6)
     g.add_edge(5, 8)
     g.add_edge(6, 8)
     g.add_edge(7, 9)
     self.dcolor = Dcolor(g)
     color = self.dcolor.color()
     expect = [[1, 8, 9], [5, 4, 7], [2], [0, 3, 6]]
     self.assertEqual(self.dcolor.valid_coloring(color), True)
     self.assertEqual(color, expect)
     # C5 + 2 Yi
     g = make_cycle(5)
     g.add_node(5)
     g.add_edge(0,5)
     g.add_edge(1,5)
     g.add_edge(2,5)
     g.add_node(6)
     g.add_edge(0,6)
     g.add_edge(3,6)
     g.add_edge(4,6)
     self.dcolor = Dcolor(g)
     color = self.dcolor.color()
     expect = [[0, 3], [1, 4], [5, 6], [2]]
     self.assertEqual(self.dcolor.valid_coloring(color), True)
     self.assertEqual(color, expect)
Ejemplo n.º 3
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def go():
    forbidden = [make_clique(4), make_cycle(4), make_clique(6), make_cycle(8)]
    onlyfiles = [ f for f in listdir(MYPATH) if isfile(join(MYPATH,f)) ]
    for f in onlyfiles:
        print("Working on:")
        print(f)
        g = File(MYPATH,file=f).load(f)
        check_graph(DROPS, g, forbidden)
    return
Ejemplo n.º 4
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def go():
    forbidden = [make_co_cricket(),
                 make_cycle(4),
                 make_cycle(6),
                 make_cycle(8),
                 make_wheel(6)]
    g = make_cycle(7)
    check_graph(DROPS, g, forbidden)
    return
Ejemplo n.º 5
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def go():
    forbidden = [make_kite(),
                 make_cycle(4),
                 make_cycle(6),
                 make_cycle(8),
                 make_wheel(6)]
    g = make_cycle(5)
    check_graph(DROPS, g, forbidden)
    return
Ejemplo n.º 6
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 def testOddHoleFree(self):
     g = make_cycle(4)
     self.assertEqual(odd_hole_free(g), True)
     g = make_cycle(5)
     self.assertEqual(odd_hole_free(g), False)
     g = make_cycle(10)
     self.assertEqual(odd_hole_free(g), True)
     g = make_cycle(11)
     self.assertEqual(odd_hole_free(g), False)
Ejemplo n.º 7
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 def testEvenHoleFree(self):
     g = make_cycle(4)
     self.assertEqual(even_hole_free(g).edges(), g.edges())
     self.assertEqual(even_hole_free(g).nodes(), g.nodes())
     g = make_cycle(5)
     self.assertEqual(even_hole_free(g), None)
     g = make_cycle(10)
     self.assertEqual(even_hole_free(g).edges(), g.edges())
     self.assertEqual(even_hole_free(g).nodes(), g.nodes())
Ejemplo n.º 8
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def TheAlgorithm(G):
    dColor = Dcolor(G)
    partialColoring = list()
     
    #Compute chi(G) (using brute force)
    k = len(dColor.color())
    
    hasStrongStableSet = False
    thisStableSet = FindStrongStableSet(G)
    if thisStableSet != None:
        hasStrongStableSet = True
    while hasStrongStableSet:
        #thisStableSet = FindStrongStableSet(G)
        partialColoring.append(list(thisStableSet))
        #Remove this stable set from the graph
        for thisStableVertex in thisStableSet:
            G.remove_node(thisStableVertex)
            
        thisStableSet = FindStrongStableSet(G)
        if thisStableSet == None:
            hasStrongStableSet = False
              
    #check for induced C7
    graphToTest = convert_node_labels_to_integers(G, 0, ordering='default', label_attribute = None)
    if induced_subgraph(graphToTest, make_cycle(CYCLE_LENGTH)) == None:
        stillHasInducedC7 = False
    else:
        stillHasInducedC7 = True
    graphToTest.clear()
    
    while stillHasInducedC7 == True:
        thisStableSet = FindSimpleStableSet(G)
        partialColoring.append(thisStableSet)
        for thisStableVertex in thisStableSet:
            G.remove_node(thisStableVertex)
            
        graphToTest = convert_node_labels_to_integers(G, 0, ordering='default', label_attribute = None)
        if induced_subgraph(graphToTest, make_cycle(CYCLE_LENGTH)) == None:
            stillHasInducedC7 = False
        graphToTest.clear()
            
    """        
    At this point, there does not exist a strong stable set of size 3, because there is no C7.
    This means that G is now a perfect graph.
    """
    t = chromatic_number(G)
 
    #Find the chromatic number of our partial graph of stable sets
    s = len(partialColoring)
     
    if k == (s + t):
        result = True
    else:
        result = False

    return result
Ejemplo n.º 9
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 def testOddHoleFree(self):
     g = make_cycle(4)
     self.assertEqual(odd_hole_free(g), None)
     g = make_cycle(5)
     self.assertEqual(odd_hole_free(g).edges(), g.edges())
     self.assertEqual(odd_hole_free(g).nodes(), g.nodes())
     g = make_cycle(10)
     self.assertEqual(odd_hole_free(g), None)
     g = make_cycle(11)
     self.assertEqual(odd_hole_free(g).edges(), g.edges())
     self.assertEqual(odd_hole_free(g).nodes(), g.nodes())
Ejemplo n.º 10
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 def testForbidden(self):
     claw = make_claw()
     c4 = make_cycle(4)
     cok4 = make_cok4()
     g = make_cycle(5)
     not_allowed = [claw, c4, cok4]
     gen = Generator2(g, 1, forbidden=not_allowed)
     for graph in gen.iterate():
         for h in not_allowed:
             if induced_subgraph(graph, h) is not None:
                 print(graph.edges())
                 print(h.edges())
                 self.assertEqual(True, False ,"Failed to forbid a graph")
Ejemplo n.º 11
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 def testColoringCritical(self):
     self.dcolor = Dcolor(make_cycle(5))
     color = self.dcolor.color()
     expect = [[0], [1, 3], [2, 4]]
     self.assertEqual(len(color), 3)
     self.assertEqual(color, expect)
     k1 = nx.Graph()
     k1.add_node(0)
     g = join(make_cycle(5), k1)
     self.dcolor = Dcolor(g)
     color = self.dcolor.color()
     self.assertEqual(len(color), 4)
     expect = [[5], [0],  [1, 3], [2, 4]]
     self.assertEqual(expect, color)
Ejemplo n.º 12
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 def testColoringClique(self):
     g = make_cycle(3)
     self.dcolor = Dcolor(g)
     color = self.dcolor.color()
     expect = [[0], [1], [2]]
     self.assertEqual(len(color), 3)
     self.assertEqual(color, expect)
Ejemplo n.º 13
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def Process():
    
    for thisXConfiguration in product(range(MAX_X_CARDINALITY), repeat = BASE_CYCLE_SIZE):
        
        baseGraph = make_cycle(7)
        baseGraph, x_sets = ConstructGraph(thisXConfiguration, baseGraph)
        thisGraph = deepcopy(baseGraph)
        print(thisGraph.edges())
        #Try all possible combos of X and X_i+2 edges
        for xSetIndex in range(0,BASE_CYCLE_SIZE):
            s1 = x_sets[xSetIndex]
            s2 = x_sets[(xSetIndex + 2) % BASE_CYCLE_SIZE]
        
            for i in range(0,4):
                for thisEdgeCombo in combinations(product(s1,s2),i):
                    for thisEdge in thisEdgeCombo:
                        thisGraph.add_edge(thisEdge[0], thisEdge[1])      
                         
                    WriteToLogFile(FinalProcessGraph(thisGraph))
                
                    #for each of these combos, try it with all combos of X and X_i+5
                    thisGraphMoreJoins = deepcopy(thisGraph)
                    s1 = x_sets[xSetIndex]
                    s2 = x_sets[(xSetIndex + 5) % BASE_CYCLE_SIZE]
                    for i in range(0,4):
                        for thisEdgeCombo in combinations(product(s1,s2),i):
                            for thisEdge in thisEdgeCombo:
                                thisGraphMoreJoins.add_edge(thisEdge[0], thisEdge[1])      
                             
                            WriteToLogFile(FinalProcessGraph(thisGraphMoreJoins))
                    
                thisGraph = deepcopy(baseGraph)
                
        baseGraph.clear()
    return
Ejemplo n.º 14
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 def testC5DiamondCoDiamondFree(self):
     g = make_cycle(5)
     subgraphs = [make_diamond(), make_co_diamond()]
     k_vertexes = k_vertex(g, subgraphs)
     expect = [False, False, True, True, False, False]
     for index, k in enumerate(k_vertexes):
         self.assertEqual(k['has_k_vertex'], expect[index],
                          '''K Vertex says (diamond,co-diamond)- free Graph
                          %d - vertex:%r but should be %r''' 
                          %(index, k['has_k_vertex'], expect[index]))
     set_2_vertex = [(0, 1), (0, 4), (1, 2), (2, 3), (3, 4)]
     for check in set_2_vertex:
         self.assertEqual(check in k_vertexes[2]['combinations'], True,
                         '''
                         K vertex missing 2 Vertex set (%d, %d)
                         on (diamond, co-diamond)-free Grpah
                         ''' %(check[0],check[1]))
     set_3_vertex = [(0, 1, 3),
                     (0, 2, 3),
                     (0, 2, 4),
                     (1, 2, 4),
                     (1, 3, 4)]
     for check in set_3_vertex:
         self.assertEqual(check in k_vertexes[3]['combinations'], True,
                         '''
                         K vertex missing 3 Vertex set (%d, %d, %d)
                         on (diamond, co-diamond)-free Grpah
                         ''' %(check[0],check[1], check[2]))
Ejemplo n.º 15
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def process():
    index = 0
    #Generate an array corresponding to the k-vertices we want to add to c7
    for add in combinations_with_replacement(range(4), 7):
        print(add)
        #We can have at most 3 Z's and 2 Y's, making 5 possible vertices we can add
        if count(add) > 5:
            break
        for thisPermutation in permutations(add):
            #copy initial graph (c7) and add vertices
            #self.g = BASE.copy()
            g = make_cycle(7)
            add_vertices(g, thisPermutation)
            check = True
            #we want our graph to remain {4k1,c4,c6}-free
            for H in FORBIDDEN:
                if induced_subgraph(g, H):
                    check  = False
                    break
            if check:
                #log it
                f = File(DIRECTORY, G=g, logger=LOGGER, base="C5-")
                fp = f.save()
                if fp is not None:
                    index += 1
                    print("Created Graph: %d" % index)
Ejemplo n.º 16
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def Construct():
    
    resultGraph = make_cycle(CYCLE_LENGTH)
    
    x_sets = [ [] for i in range(0,CYCLE_LENGTH)]
    
    #Add the nodes
    for vertexIndex in range(0, NUMBER_OF_LAYERS * CYCLE_LENGTH):
        #add the new node
        vertexToAddNum = resultGraph.number_of_nodes()
        resultGraph.add_node(vertexToAddNum)
        x_sets[vertexIndex % CYCLE_LENGTH].append(vertexToAddNum)
        #add its edges
        resultGraph.add_edge( (vertexToAddNum - 1) % CYCLE_LENGTH, vertexToAddNum )
        resultGraph.add_edge( vertexToAddNum % CYCLE_LENGTH, vertexToAddNum)
        resultGraph.add_edge( (vertexToAddNum + 1) % CYCLE_LENGTH, vertexToAddNum)

    #x_i forms a clique
    for thisXSet in x_sets:
        if(len(thisXSet) > 1):
            for thisCliqueEdge in product(thisXSet, thisXSet):
                if(thisCliqueEdge[0] != thisCliqueEdge[1]):
                    resultGraph.add_edge(thisCliqueEdge[0], thisCliqueEdge[1])
                    
    #X_i joins its neighbours
    for thisXSetIndex in range(0,CYCLE_LENGTH):
        x1 = x_sets[thisXSetIndex]
        x2 = x_sets[(thisXSetIndex+1) % CYCLE_LENGTH]
        for vertexI in x1:
            for vertexJ in x2:
                resultGraph.add_edge(vertexI,vertexJ)
                    
    return resultGraph
Ejemplo n.º 17
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 def TestAdjacentToVertices(self):
     expect = adjacent_to_vertices(-1, [0, 1], make_claw())
     self.assertEqual(expect, False)
     expect = adjacent_to_vertices(0, [1, 2, 3], make_claw())
     self.assertEqual(expect, True)
     expect = adjacent_to_vertices(0, [2, 3], make_cycle(5))
     self.assertEqual(expect, False)
Ejemplo n.º 18
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def ConstructBaseGraph():
    global CURRENT_X_SETS, CURRENT_Y_SETS
    
    CURRENT_X_SETS = [ [i] for i in range(0, CYCLE_LENGTH)]
    CURRENT_Y_SETS = [ [] for i in range(0, CYCLE_LENGTH)]
    
    result = make_cycle(CYCLE_LENGTH)
    
    return deepcopy(result)
Ejemplo n.º 19
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 def testColorCycle(self):
     g = make_cycle(5)
     for i in range(5, 100):
         g.add_node(i)
         g.add_edge(i - 1, i)
     self.dcolor = Dcolor(g)
     color = self.dcolor.color()
     self.assertEqual(len(color), 3)
     self.assertEqual(self.dcolor.valid_coloring(color), True)
Ejemplo n.º 20
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 def testTriangleFree(self):
     G = make_cycle(4)
     self.assertEqual(triangle_free(G), True)
     G = make_claw()
     self.assertEqual(triangle_free(G), True)
     G = make_co_claw()
     self.assertEqual(triangle_free(G), False)
     G = make_diamond()
     self.assertEqual(triangle_free(G), False)
Ejemplo n.º 21
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 def testTotalGraphs(self):
     G = nx.Graph()
     G.add_node(0)
     self.gen = Generator(G, 2, [])
     result = self.gen.total_graphs()
     self.assertEqual(10, result)
     G = make_cycle(5)
     self.gen  = Generator(G, 5, [])
     result = self.gen.total_graphs()
     self.assertEqual(34427111456, result)
Ejemplo n.º 22
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def even_hole_free(G):
    i_set = graph_clique_number(complement(G))
    free = True
    i = 4
    while i <= i_set * 2 and free:
        g = make_cycle(i)
        if induced_subgraph(G, g):
            free = False
        i += 2
    return free
Ejemplo n.º 23
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 def testLoad(self):
     claw = make_claw()
     c7 = make_cycle(7)
     co_claw = make_co_claw()
     tests = {"test1.txt": claw, "test2.txt": c7, "test3.txt": co_claw}
     directory = os.path.join(self.directory, "test")
     for file, expect in tests.items():
         file_obj = File(directory, file=file)
         self.assertEqual(expect.nodes(), file_obj.G.nodes(), "Load Failed Nodes: %s" % file)
         self.assertEqual(expect.edges(), file_obj.G.edges(), "Load Failed :Edges %s" % file)
 def testCheckCondition(self):
     test = check_condition_holds(make_clique(5))
     expect = False
     self.assertEqual(test, expect)
     test = check_condition_holds(make_clique(3))
     expect = False
     self.assertEqual(test, expect)
     test = check_condition_holds(make_cycle(5))
     expect = True
     self.assertEqual(test, expect)
Ejemplo n.º 25
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def critical_cycle(n):
    g = make_cycle(n)
    v1 = n
    v2 = n+1
    g.add_node(v1)
    g.add_node(v2)
    for i in range(0, n // 2 + 1):
        g.add_edge(i, v1)
        g.add_edge(n-i-1, v2)
    return g
Ejemplo n.º 26
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def even_hole_free(G):
    i_set = graph_clique_number(complement(G))
    free = None
    i = 4
    while i <= i_set * 2 and free is None:
        g = make_cycle(i)
        induced = induced_subgraph(G, g) 
        if induced is not None:
            free = induced
        i += 2
    return free
Ejemplo n.º 27
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 def testColoringCritical(self):
     c5 = make_cycle(5)
     color = coloring(c5)
     expect = [[4, 1], [3, 0], [2]]
     self.assertEqual(len(color), 3)
     self.assertEqual(color, expect)
     k1 = nx.Graph()
     k1.add_node(0)
     g = join(c5, k1)
     color = coloring(g)
     self.assertEqual(len(color), 4)
     expect = [[4], [3, 1], [2, 0], [5]]
     self.assertEqual(expect, color)
Ejemplo n.º 28
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 def testGetName(self):
     g = make_claw()
     f = File(self.directory, G=g, logger=self.logger)
     self.assertEqual(f.get_name(), "has_K2_edges-3_nodes-4.txt")
     g = make_cycle(5)
     f = File(self.directory, G=g, logger=self.logger)
     self.assertEqual(f.get_name(), "has_K2_edges-5_nodes-5.txt")
     self.assertEqual(f.get_name(1), "has_K2_edges-5_nodes-5--1.txt")
     self.assertEqual(f.get_name(10), "has_K2_edges-5_nodes-5--10.txt")
     f = File(self.directory, G=g, logger=self.logger, base="C5")
     self.assertEqual(f.get_name(), "C5has_K2_edges-5_nodes-5.txt")
     self.assertEqual(f.get_name(1), "C5has_K2_edges-5_nodes-5--1.txt")
     self.assertEqual(f.get_name(10), "C5has_K2_edges-5_nodes-5--10.txt")
Ejemplo n.º 29
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 def testCompare(self):
     claw = make_claw()
     co_claw = make_co_claw()
     f = File(self.directory, G=claw, logger=self.logger)
     g = File(self.directory, G=claw, logger=self.logger)
     self.assertEqual(g.compare(f), True)
     self.assertEqual(f.compare(g), True)
     g = File(self.directory, G=co_claw, logger=self.logger)
     self.assertEqual(g.compare(f), False)
     self.assertEqual(f.compare(g), False)
     h = File(self.directory, G=make_cycle(4), logger=self.logger)
     self.assertEqual(h.compare(f), False)
     self.assertEqual(f.compare(h), False)
Ejemplo n.º 30
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 def setUp(self):
     self.graph = make_cycle(5)
     x = 5
     y = 6
     w = 7
     self.graph.add_node(x)
     self.graph.add_node(y)
     self.graph.add_node(w)
     
     self.graph.add_edge(1, x)
     self.graph.add_edge(2, y)
     self.graph.add_edge(3, y)
     for i in range(0, 4):
         self.graph.add_edge(i, w)