def __init__(self, n_vertices, n_loops, n_hairs_a, n_hairs_b, even_edges,
even_hairs_a, even_hairs_b):
"""Initialize the bi colored hairy graph vector space.
:param n_vertices: Number of internal vertices.
:type n_vertices: int
:param n_loops: Number of loops.
:type n_loops: int
:param n_hairs_a: Number of hairs of the first colour.
:type n_hairs_a: int
:param n_hairs_b: Number of hairs of the second colour.
:type n_hairs_b: int
:param even_edges: True for even edges, False for odd edges.
:type even_edges: bool
:param even_hairs_a: Parity of the hair vertices of the first colour. True for even hairs_a, False for odd hairs_a.
:type even_hairs_a: bool
:param even_hairs_b: Parity of the hair vertices of the second colour. True for even hairs_a, False for odd hairs_b.
:type even_hairs_b: bool
"""
self.n_vertices = n_vertices
self.n_loops = n_loops
self.n_hairs_a = n_hairs_a
self.n_hairs_b = n_hairs_b
self.n_hairs = self.n_hairs_a + self.n_hairs_b
self.even_edges = even_edges
self.even_hairs_a = even_hairs_a
self.even_hairs_b = even_hairs_b
self.n_edges = self.n_loops + self.n_vertices - 1
self.sub_type = get_sub_type(self.even_edges, self.even_hairs_a,
self.even_hairs_b)
super(BiColoredHairyGraphVS, self).__init__()
self.ogvs = OrdinaryGraphComplex.OrdinaryGVS(
self.n_vertices + self.n_hairs, self.n_loops, self.even_edges)
def __init__(self, deg, even_edges):
"""Initialize the degree slice.
:param deg: Total degree of the degree slice.
:type deg: int
:param even_edges: True for even edges, False for odd edges.
:type even_edges: bool
"""
self.even_edges = even_edges
self.sub_type = OrdinaryGraphComplex.sub_types.get(even_edges)
super(VertexLoopDegSlice, self).__init__([
OrdinaryGraphComplex.OrdinaryGVS(v, deg - v, self.even_edges)
for v in range(0, deg + 1)
], deg)
def __init__(self, n_vertices, n_loops, n_hairs, n_ws):
"""Initialize the hairy graph vector space.
:param n_vertices: Number of internal vertices. TODO: sure it is only internal?
:type n_vertices: int
:param n_loops: the genus of the graph.
:type n_loops: int
:param n_hairs: Number of hairs. They are distinguishable, numbered 1,...,n
:type n_hairs: int
:param n_ws: Number of w decorated hairs.
:type even_edges: int
"""
self.n_vertices = n_vertices
self.n_loops = n_loops
self.n_hairs = n_hairs
self.n_ws = n_ws
# we count only the internal edges and omega and eps edges, but not the hair edges
self.n_edges = self.n_loops + self.n_vertices
self.sub_type = "w"
super(WHairyGraphVS, self).__init__()
self.ogvs = OrdinaryGraphComplex.OrdinaryGVS(
self.n_vertices + self.n_hairs + 2, self.n_loops, False)
def __init__(self, n_vertices, n_loops, n_hairs, even_edges, even_hairs):
"""Initialize the hairy graph vector space.
:param n_vertices: Number of internal vertices.
:type n_vertices: int
:param n_loops: Number of loops.
:type n_loops: int
:param n_hairs: Number of hairs.
:type n_hairs: int
:param even_edges: True for even edges, False for odd edges.
:type even_edges: bool
:param even_hairs: Parity of the hair vertices. True for even hairs, False for odd hairs.
:type even_hairs: bool
"""
self.n_vertices = n_vertices
self.n_loops = n_loops
self.n_hairs = n_hairs
self.even_edges = even_edges
self.even_hairs = even_hairs
self.n_edges = self.n_loops + self.n_vertices - 1
self.sub_type = sub_types.get((self.even_edges, self.even_hairs))
super(HairyGraphVS, self).__init__()
self.ogvs = OrdinaryGraphComplex.OrdinaryGVS(self.n_vertices + self.n_hairs, self.n_loops, self.even_edges)
def setUp(self):
self.vs_list = [
OrdinaryGraphComplex.OrdinaryGVS(v, l, even_edges) for (
v, l,
even_edges) in itertools.product(v_range, l_range, edges_types)
]
"""Generate sample images of graphs to be used on the webpage.""" import SpecialGraphs import Parameters import OrdinaryGraphComplex import HairyGraphComplex import StoreLoad imgdir = Parameters.web_dir + "/img/" StoreLoad.makedirs(imgdir) # Commutatie graph complex G = SpecialGraphs.wheel_graph(7) VS = OrdinaryGraphComplex.OrdinaryGVS(8, 7, False) # p = VS.plot_graph(G) p = G.plot(vertex_labels=False, transparent=True) p.save(imgdir + "wheel7.png") # hairy graph complex G = SpecialGraphs.hedgehog_graph(5) VS = HairyGraphComplex.HairyGraphVS(5, 1, 5, False, False) p = G.plot(vertex_labels=False, transparent=True) p.save(imgdir + "hedgehog5.png")