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provide an alias number_of_relations #40942

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Oct 6, 2025
Merged

provide an alias number_of_relations #40942

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2 changes: 1 addition & 1 deletion src/sage/categories/finite_coxeter_groups.py
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Original file line number Diff line number Diff line change
Expand Up @@ -291,7 +291,7 @@ def bhz_poset(self):
sage: W = CoxeterGroup(['A',3], base_ring=ZZ)
sage: P = W.bhz_poset(); P
Finite poset containing 24 elements
sage: P.relations_number()
sage: P.number_of_relations()
103
sage: P.chain_polynomial()
34*q^4 + 90*q^3 + 79*q^2 + 24*q + 1
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18 changes: 10 additions & 8 deletions src/sage/combinat/posets/posets.py
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Expand Up @@ -65,7 +65,7 @@
:meth:`~FinitePoset.cardinality` | Return the number of elements in the poset.
:meth:`~FinitePoset.height` | Return the number of elements in a longest chain of the poset.
:meth:`~FinitePoset.width` | Return the number of elements in a longest antichain of the poset.
:meth:`~FinitePoset.relations_number` | Return the number of relations in the poset.
:meth:`~FinitePoset.number_of_relations` | Return the number of relations in the poset.
:meth:`~FinitePoset.dimension` | Return the dimension of the poset.
:meth:`~FinitePoset.jump_number` | Return the jump number of the poset.
:meth:`~FinitePoset.magnitude` | Return the magnitude of the poset.
Expand Down Expand Up @@ -2339,7 +2339,7 @@ def relations(self):

.. SEEALSO::

:meth:`relations_number`, :meth:`relations_iterator`
:meth:`number_of_relations`, :meth:`relations_iterator`

TESTS::

Expand Down Expand Up @@ -2693,7 +2693,7 @@ def relations_iterator(self, strict=False):

.. SEEALSO::

:meth:`relations_number`, :meth:`relations`.
:meth:`number_of_relations`, :meth:`relations`.

AUTHOR:

Expand All @@ -2711,7 +2711,7 @@ def relations_iterator(self, strict=False):
for j in hd.breadth_first_search(i):
yield [elements[i], elements[j]]

def relations_number(self):
def number_of_relations(self):
r"""
Return the number of relations in the poset.

Expand All @@ -2724,10 +2724,10 @@ def relations_number(self):
EXAMPLES::

sage: P = posets.PentagonPoset()
sage: P.relations_number()
sage: P.number_of_relations()
13

sage: posets.TamariLattice(4).relations_number()
sage: posets.TamariLattice(4).number_of_relations()
68

.. SEEALSO::
Expand All @@ -2736,13 +2736,15 @@ def relations_number(self):

TESTS::

sage: Poset().relations_number()
sage: Poset().number_of_relations()
0
"""
return sum(1 for _ in self.relations_iterator())

# Maybe this should also be deprecated.
intervals_number = relations_number
intervals_number = number_of_relations

relations_number = number_of_relations

def linear_intervals_count(self) -> list[int]:
"""
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