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Sage 9.6 Documentation
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Reference Manual
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Matroid Theory
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Index
A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
A
addlp() (in module sage.matroids.matroids_plot_helpers)
addnontripts() (in module sage.matroids.matroids_plot_helpers)
AG() (in module sage.matroids.catalog)
AG23minus() (in module sage.matroids.catalog)
AG32prime() (in module sage.matroids.catalog)
augment() (sage.matroids.matroid.Matroid method)
augmented_bergman_complex() (sage.matroids.matroid.Matroid method)
B
base_ring() (sage.matroids.lean_matrix.BinaryMatrix method)
(sage.matroids.lean_matrix.GenericMatrix method)
(sage.matroids.lean_matrix.LeanMatrix method)
(sage.matroids.lean_matrix.PlusMinusOneMatrix method)
(sage.matroids.lean_matrix.QuaternaryMatrix method)
(sage.matroids.lean_matrix.RationalMatrix method)
(sage.matroids.lean_matrix.TernaryMatrix method)
(sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.LinearMatroid method)
(sage.matroids.linear_matroid.QuaternaryMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.linear_matroid.TernaryMatroid method)
bases() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.basis_matroid.BasisMatroid method)
(sage.matroids.matroid.Matroid method)
bases_count() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.basis_matroid.BasisMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
basis() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
BasisExchangeMatroid (class in sage.matroids.basis_exchange_matroid)
BasisMatroid (class in sage.matroids.basis_matroid)
bergman_complex() (sage.matroids.matroid.Matroid method)
BetsyRoss() (in module sage.matroids.catalog)
bicycle_dimension() (sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.QuaternaryMatroid method)
(sage.matroids.linear_matroid.TernaryMatroid method)
binary_matroid() (sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.matroid.Matroid method)
BinaryMatrix (class in sage.matroids.lean_matrix)
BinaryMatroid (class in sage.matroids.linear_matroid)
Block_10_5() (in module sage.matroids.catalog)
Block_9_4() (in module sage.matroids.catalog)
broken_circuit_complex() (sage.matroids.matroid.Matroid method)
broken_circuits() (sage.matroids.matroid.Matroid method)
brown_invariant() (sage.matroids.linear_matroid.BinaryMatroid method)
C
character() (sage.matroids.linear_matroid.TernaryMatroid method)
characteristic() (sage.matroids.lean_matrix.BinaryMatrix method)
(sage.matroids.lean_matrix.GenericMatrix method)
(sage.matroids.lean_matrix.LeanMatrix method)
(sage.matroids.lean_matrix.PlusMinusOneMatrix method)
(sage.matroids.lean_matrix.QuaternaryMatrix method)
(sage.matroids.lean_matrix.RationalMatrix method)
(sage.matroids.lean_matrix.TernaryMatrix method)
(sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.LinearMatroid method)
(sage.matroids.linear_matroid.QuaternaryMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.linear_matroid.TernaryMatroid method)
chordality() (sage.matroids.matroid.Matroid method)
chow_ring() (sage.matroids.matroid.Matroid method)
circuit() (sage.matroids.matroid.Matroid method)
circuit_closures() (sage.matroids.circuit_closures_matroid.CircuitClosuresMatroid method)
(sage.matroids.matroid.Matroid method)
CircuitClosuresMatroid (class in sage.matroids.circuit_closures_matroid)
circuits() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
closure() (sage.matroids.matroid.Matroid method)
cobasis() (sage.matroids.matroid.Matroid method)
cocircuit() (sage.matroids.matroid.Matroid method)
cocircuits() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
coclosure() (sage.matroids.matroid.Matroid method)
coextension() (sage.matroids.matroid.Matroid method)
coextensions() (sage.matroids.matroid.Matroid method)
coflats() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
coloops() (sage.matroids.matroid.Matroid method)
CompleteGraphic() (in module sage.matroids.catalog)
components() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
connectivity() (sage.matroids.matroid.Matroid method)
contract() (sage.matroids.matroid.Matroid method)
corank() (sage.matroids.matroid.Matroid method)
cosimplify() (sage.matroids.matroid.Matroid method)
createline() (in module sage.matroids.matroids_plot_helpers)
cross_ratio() (sage.matroids.linear_matroid.LinearMatroid method)
cross_ratios() (sage.matroids.linear_matroid.LinearMatroid method)
CutNode (class in sage.matroids.extension)
D
D16() (in module sage.matroids.catalog)
delete() (sage.matroids.matroid.Matroid method)
dependent_r_sets() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
dual() (sage.matroids.basis_matroid.BasisMatroid method)
(sage.matroids.dual_matroid.DualMatroid method)
(sage.matroids.linear_matroid.LinearMatroid method)
(sage.matroids.matroid.Matroid method)
DualMatroid (class in sage.matroids.dual_matroid)
E
equals() (sage.matroids.matroid.Matroid method)
ExtendedBinaryGolayCode() (in module sage.matroids.catalog)
ExtendedTernaryGolayCode() (in module sage.matroids.catalog)
extension() (sage.matroids.matroid.Matroid method)
extensions() (sage.matroids.matroid.Matroid method)
F
F8() (in module sage.matroids.catalog)
f_vector() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
Fano() (in module sage.matroids.catalog)
flat_cover() (sage.matroids.matroid.Matroid method)
flats() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
full_corank() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
full_rank() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.circuit_closures_matroid.CircuitClosuresMatroid method)
(sage.matroids.matroid.Matroid method)
fundamental_circuit() (sage.matroids.matroid.Matroid method)
fundamental_cocircuit() (sage.matroids.matroid.Matroid method)
fundamental_cocycle() (sage.matroids.linear_matroid.LinearMatroid method)
fundamental_cycle() (sage.matroids.linear_matroid.LinearMatroid method)
G
generic_identity() (in module sage.matroids.lean_matrix)
GenericMatrix (class in sage.matroids.lean_matrix)
geomrep() (in module sage.matroids.matroids_plot_helpers)
get_nonisomorphic_matroids() (in module sage.matroids.utilities)
graph() (sage.matroids.graphic_matroid.GraphicMatroid method)
graphic_coextension() (sage.matroids.graphic_matroid.GraphicMatroid method)
graphic_coextensions() (sage.matroids.graphic_matroid.GraphicMatroid method)
graphic_extension() (sage.matroids.graphic_matroid.GraphicMatroid method)
graphic_extensions() (sage.matroids.graphic_matroid.GraphicMatroid method)
GraphicMatroid (class in sage.matroids.graphic_matroid)
groundset() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.circuit_closures_matroid.CircuitClosuresMatroid method)
(sage.matroids.dual_matroid.DualMatroid method)
(sage.matroids.graphic_matroid.GraphicMatroid method)
(sage.matroids.matroid.Matroid method)
(sage.matroids.minor_matroid.MinorMatroid method)
(sage.matroids.rank_matroid.RankMatroid method)
groundset_list() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
groundset_to_edges() (sage.matroids.graphic_matroid.GraphicMatroid method)
H
has_field_minor() (sage.matroids.linear_matroid.LinearMatroid method)
has_line_minor() (sage.matroids.linear_matroid.LinearMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.matroid.Matroid method)
has_minor() (sage.matroids.matroid.Matroid method)
hyperplanes() (sage.matroids.matroid.Matroid method)
I
independence_matroid_polytope() (sage.matroids.matroid.Matroid method)
independent_r_sets() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
independent_sets() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
intersection() (sage.matroids.matroid.Matroid method)
intersection_unweighted() (sage.matroids.matroid.Matroid method)
is_3connected() (sage.matroids.matroid.Matroid method)
is_4connected() (sage.matroids.matroid.Matroid method)
is_basis() (sage.matroids.matroid.Matroid method)
is_binary() (sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.matroid.Matroid method)
is_chordal() (sage.matroids.matroid.Matroid method)
is_circuit() (sage.matroids.matroid.Matroid method)
is_circuit_chordal() (sage.matroids.matroid.Matroid method)
is_closed() (sage.matroids.matroid.Matroid method)
is_cobasis() (sage.matroids.matroid.Matroid method)
is_cocircuit() (sage.matroids.matroid.Matroid method)
is_coclosed() (sage.matroids.matroid.Matroid method)
is_codependent() (sage.matroids.matroid.Matroid method)
is_coindependent() (sage.matroids.matroid.Matroid method)
is_connected() (sage.matroids.matroid.Matroid method)
(sage.matroids.set_system.SetSystem method)
is_cosimple() (sage.matroids.matroid.Matroid method)
is_dependent() (sage.matroids.matroid.Matroid method)
is_distinguished() (sage.matroids.basis_matroid.BasisMatroid method)
is_field_equivalent() (sage.matroids.linear_matroid.LinearMatroid method)
is_field_isomorphic() (sage.matroids.linear_matroid.LinearMatroid method)
is_field_isomorphism() (sage.matroids.linear_matroid.LinearMatroid method)
is_graphic() (sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
is_independent() (sage.matroids.matroid.Matroid method)
is_isomorphic() (sage.matroids.matroid.Matroid method)
is_isomorphism() (sage.matroids.matroid.Matroid method)
is_k_closed() (sage.matroids.matroid.Matroid method)
is_kconnected() (sage.matroids.matroid.Matroid method)
is_max_weight_coindependent_generic() (sage.matroids.matroid.Matroid method)
is_max_weight_independent_generic() (sage.matroids.matroid.Matroid method)
is_simple() (sage.matroids.matroid.Matroid method)
is_subset_k_closed() (sage.matroids.matroid.Matroid method)
is_ternary() (sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.linear_matroid.TernaryMatroid method)
(sage.matroids.matroid.Matroid method)
is_valid() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.graphic_matroid.GraphicMatroid method)
(sage.matroids.linear_matroid.BinaryMatroid method)
(sage.matroids.linear_matroid.LinearMatroid method)
(sage.matroids.linear_matroid.QuaternaryMatroid method)
(sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.linear_matroid.TernaryMatroid method)
(sage.matroids.matroid.Matroid method)
isomorphism() (sage.matroids.matroid.Matroid method)
it() (in module sage.matroids.matroids_plot_helpers)
J
J() (in module sage.matroids.catalog)
K
K33dual() (in module sage.matroids.catalog)
k_closure() (sage.matroids.matroid.Matroid method)
L
L8() (in module sage.matroids.catalog)
lattice_of_flats() (sage.matroids.matroid.Matroid method)
LeanMatrix (class in sage.matroids.lean_matrix)
lift_cross_ratios() (in module sage.matroids.utilities)
lift_map() (in module sage.matroids.utilities)
line_hasorder() (in module sage.matroids.matroids_plot_helpers)
linear_coextension() (sage.matroids.linear_matroid.LinearMatroid method)
linear_coextension_cochains() (sage.matroids.linear_matroid.LinearMatroid method)
linear_coextensions() (sage.matroids.linear_matroid.LinearMatroid method)
linear_extension() (sage.matroids.linear_matroid.LinearMatroid method)
linear_extension_chains() (sage.matroids.linear_matroid.LinearMatroid method)
linear_extensions() (sage.matroids.linear_matroid.LinearMatroid method)
linear_subclasses() (sage.matroids.matroid.Matroid method)
LinearMatroid (class in sage.matroids.linear_matroid)
LinearSubclasses (class in sage.matroids.extension)
LinearSubclassesIter (class in sage.matroids.extension)
lineorders_union() (in module sage.matroids.matroids_plot_helpers)
link() (sage.matroids.matroid.Matroid method)
loops() (sage.matroids.matroid.Matroid method)
M
make_regular_matroid_from_matroid() (in module sage.matroids.utilities)
Matroid (class in sage.matroids.matroid)
Matroid() (in module sage.matroids.constructor)
matroid_polytope() (sage.matroids.matroid.Matroid method)
MatroidExtensions (class in sage.matroids.extension)
max_coindependent() (sage.matroids.matroid.Matroid method)
max_independent() (sage.matroids.matroid.Matroid method)
max_weight_coindependent() (sage.matroids.matroid.Matroid method)
max_weight_independent() (sage.matroids.matroid.Matroid method)
minor() (sage.matroids.matroid.Matroid method)
MinorMatroid (class in sage.matroids.minor_matroid)
modular_cut() (sage.matroids.matroid.Matroid method)
module
sage.matroids.advanced
sage.matroids.basis_exchange_matroid
sage.matroids.basis_matroid
sage.matroids.catalog
sage.matroids.circuit_closures_matroid
sage.matroids.constructor
sage.matroids.dual_matroid
sage.matroids.extension
sage.matroids.graphic_matroid
sage.matroids.lean_matrix
sage.matroids.linear_matroid
sage.matroids.matroid
sage.matroids.matroids_catalog
sage.matroids.matroids_plot_helpers
sage.matroids.minor_matroid
sage.matroids.rank_matroid
sage.matroids.set_system
sage.matroids.unpickling
sage.matroids.utilities
N
N1() (in module sage.matroids.catalog)
N2() (in module sage.matroids.catalog)
ncols() (sage.matroids.lean_matrix.LeanMatrix method)
newlabel() (in module sage.matroids.utilities)
no_broken_circuits_sets() (sage.matroids.matroid.Matroid method)
nonbases() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.basis_matroid.BasisMatroid method)
(sage.matroids.matroid.Matroid method)
noncospanning_cocircuits() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
NonFano() (in module sage.matroids.catalog)
NonPappus() (in module sage.matroids.catalog)
nonspanning_circuit_closures() (sage.matroids.matroid.Matroid method)
nonspanning_circuits() (sage.matroids.basis_exchange_matroid.BasisExchangeMatroid method)
(sage.matroids.matroid.Matroid method)
NonVamos() (in module sage.matroids.catalog)
NotP8() (in module sage.matroids.catalog)
nrows() (sage.matroids.lean_matrix.LeanMatrix method)
O
O7() (in module sage.matroids.catalog)
one_sum() (sage.matroids.graphic_matroid.GraphicMatroid method)
orlik_solomon_algebra() (sage.matroids.matroid.Matroid method)
orlik_terao_algebra() (sage.matroids.linear_matroid.LinearMatroid method)
P
P6() (in module sage.matroids.catalog)
P7() (in module sage.matroids.catalog)
P8() (in module sage.matroids.catalog)
P8pp() (in module sage.matroids.catalog)
P9() (in module sage.matroids.catalog)
Pappus() (in module sage.matroids.catalog)
partition() (sage.matroids.matroid.Matroid method)
PG() (in module sage.matroids.catalog)
plot() (sage.matroids.matroid.Matroid method)
PlusMinusOneMatrix (class in sage.matroids.lean_matrix)
posdict_is_sane() (in module sage.matroids.matroids_plot_helpers)
Q
Q10() (in module sage.matroids.catalog)
Q6() (in module sage.matroids.catalog)
Q8() (in module sage.matroids.catalog)
QuaternaryMatrix (class in sage.matroids.lean_matrix)
QuaternaryMatroid (class in sage.matroids.linear_matroid)
R
R10() (in module sage.matroids.catalog)
R12() (in module sage.matroids.catalog)
R6() (in module sage.matroids.catalog)
R8() (in module sage.matroids.catalog)
R9A() (in module sage.matroids.catalog)
R9B() (in module sage.matroids.catalog)
rank() (sage.matroids.matroid.Matroid method)
RankMatroid (class in sage.matroids.rank_matroid)
RationalMatrix (class in sage.matroids.lean_matrix)
regular_matroid() (sage.matroids.graphic_matroid.GraphicMatroid method)
RegularMatroid (class in sage.matroids.linear_matroid)
relabel() (sage.matroids.basis_matroid.BasisMatroid method)
representation() (sage.matroids.linear_matroid.LinearMatroid method)
representation_vectors() (sage.matroids.linear_matroid.LinearMatroid method)
S
S8() (in module sage.matroids.catalog)
sage.matroids.advanced
module
sage.matroids.basis_exchange_matroid
module
sage.matroids.basis_matroid
module
sage.matroids.catalog
module
sage.matroids.circuit_closures_matroid
module
sage.matroids.constructor
module
sage.matroids.dual_matroid
module
sage.matroids.extension
module
sage.matroids.graphic_matroid
module
sage.matroids.lean_matrix
module
sage.matroids.linear_matroid
module
sage.matroids.matroid
module
sage.matroids.matroids_catalog
module
sage.matroids.matroids_plot_helpers
module
sage.matroids.minor_matroid
module
sage.matroids.rank_matroid
module
sage.matroids.set_system
module
sage.matroids.unpickling
module
sage.matroids.utilities
module
sanitize_contractions_deletions() (in module sage.matroids.utilities)
setprint() (in module sage.matroids.utilities)
setprint_s() (in module sage.matroids.utilities)
SetSystem (class in sage.matroids.set_system)
SetSystemIterator (class in sage.matroids.set_system)
show() (sage.matroids.matroid.Matroid method)
simplify() (sage.matroids.matroid.Matroid method)
size() (sage.matroids.matroid.Matroid method)
slp() (in module sage.matroids.matroids_plot_helpers)
spanning_forest() (in module sage.matroids.utilities)
spanning_stars() (in module sage.matroids.utilities)
split_vertex() (in module sage.matroids.utilities)
subgraph_from_set() (sage.matroids.graphic_matroid.GraphicMatroid method)
T
T12() (in module sage.matroids.catalog)
T8() (in module sage.matroids.catalog)
ternary_matroid() (sage.matroids.linear_matroid.RegularMatroid method)
(sage.matroids.linear_matroid.TernaryMatroid method)
(sage.matroids.matroid.Matroid method)
TernaryDowling3() (in module sage.matroids.catalog)
TernaryMatrix (class in sage.matroids.lean_matrix)
TernaryMatroid (class in sage.matroids.linear_matroid)
Terrahawk() (in module sage.matroids.catalog)
TicTacToe() (in module sage.matroids.catalog)
tracklims() (in module sage.matroids.matroids_plot_helpers)
trigrid() (in module sage.matroids.matroids_plot_helpers)
truncation() (sage.matroids.basis_matroid.BasisMatroid method)
(sage.matroids.matroid.Matroid method)
tutte_polynomial() (sage.matroids.matroid.Matroid method)
twist() (sage.matroids.graphic_matroid.GraphicMatroid method)
U
Uniform() (in module sage.matroids.catalog)
union() (sage.matroids.matroid.Matroid method)
unpickle_basis_matroid() (in module sage.matroids.unpickling)
unpickle_binary_matrix() (in module sage.matroids.unpickling)
unpickle_binary_matroid() (in module sage.matroids.unpickling)
unpickle_circuit_closures_matroid() (in module sage.matroids.unpickling)
unpickle_dual_matroid() (in module sage.matroids.unpickling)
unpickle_generic_matrix() (in module sage.matroids.unpickling)
unpickle_graphic_matroid() (in module sage.matroids.unpickling)
unpickle_linear_matroid() (in module sage.matroids.unpickling)
unpickle_minor_matroid() (in module sage.matroids.unpickling)
unpickle_plus_minus_one_matrix() (in module sage.matroids.unpickling)
unpickle_quaternary_matrix() (in module sage.matroids.unpickling)
unpickle_quaternary_matroid() (in module sage.matroids.unpickling)
unpickle_rational_matrix() (in module sage.matroids.unpickling)
unpickle_regular_matroid() (in module sage.matroids.unpickling)
unpickle_ternary_matrix() (in module sage.matroids.unpickling)
unpickle_ternary_matroid() (in module sage.matroids.unpickling)
V
Vamos() (in module sage.matroids.catalog)
vertex_map() (sage.matroids.graphic_matroid.GraphicMatroid method)
W
Wheel() (in module sage.matroids.catalog)
Whirl() (in module sage.matroids.catalog)
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