def _graphattr(store=False, *largs, **kargs):
default = len(largs) + len(kargs) == 0
try:
if not default:
raise NotImplementedError
return lookup(self._props, name)
except (KeyError, NotImplementedError):
a = Graph.__getattribute__(self, name)(*largs, **kargs)
if default and store:
update(self._props, attr, d)
return a
def is_cayley_graph(self, store=False):
try:
return lookup(self._props, "is_cayley_graph")
except (KeyError, NotImplementedError):
A = self.automorphism_group()
n = self.order()
if A.order() == n:
c = A.is_transitive()
else:
c = any(s.order() == n and s.is_transitive() for s in A.conjugacy_classes_subgroups())
if store:
update(self._props, "is_cayley_graph", c)
return c
def is_regular(self, k=None, store=False, **kargs):
default = len(kargs) == 0
try:
if not default:
raise NotImplementedError
r = lookup(self._props, "is_regular")
return r and (True if k is None else k == self.average_degree(store=store))
except (KeyError, NotImplementedError):
r = Graph.is_regular(self, k, **kargs)
if default and store:
update(self._props, "is_regular", r)
if r and k is not None:
update(self._props, "average_degree", k)
return r