Is there an existing issue for this?

• I have searched the existing issues for a bug report that matches the one I want to file, without success.

Did you read the documentation and troubleshoot guide?

• I have read the documentation and troubleshoot guide

Environment

- **OS**: all
- **Sage Version**: 10.1.beta5

Steps To Reproduce

This issue was reported in https://groups.google.com/g/sage-devel/c/grTffw3S15E for feedback_vertex_set but is actually located in connected_component_containing_vertex

G = Graph([("A",1)])
G.connected_component_containing_vertex(1)

Expected Behavior

['A', 1]

Actual Behavior

sage: G.connected_component_containing_vertex(1)
---------------------------------------------------------------------------
TypeError                                 Traceback (most recent call last)
Cell In [23], line 1
----> 1 G.connected_component_containing_vertex(Integer(1))

File ~/sage/src/sage/graphs/connectivity.pyx:284, in sage.graphs.connectivity.connected_component_containing_vertex()
    282 
    283     if sort:
--> 284         c.sort()
    285     return c
    286 

TypeError: '<' not supported between instances of 'str' and 'int'

Additional Information

We should deprecate sorting vertices by default in connected_components and connected_component_containing_vertex to avoid type errors when vertices are of incomparable types. Users can pass a sorting key to deal with vertices of different types.