Can I make these changes in https://trac.sagemath.org/ticket/33688 as 
discussed? The ticket has not been closed yet

On Wednesday, April 13, 2022 at 12:44:36 PM UTC+5:30 David Coudert wrote:

> You are right, this can be removed too.
> And I'm not sure a parallel version of Boruvka's algorithm is needed. We 
> already have a large number of spanning tree algorithms.
>
>
> On Tuesday, April 12, 2022 at 7:56:20 PM UTC+2 patrat...@gmail.com wrote:
>
>> Just wondering if the third TODO (Randomized spanning tree construction) 
>> should be removed as well, since I see a function called 
>> "random_spanning_tree" 
>> exists already.
>> On Monday, April 11, 2022 at 8:23:30 AM UTC+1 adarsh.k...@gmail.com 
>> wrote:
>>
>>> Okay, then I think that line should be removed right? It can be 
>>> misleading to potential contributors
>>>
>>> On Monday, April 11, 2022 at 12:31:02 PM UTC+5:30 David Coudert wrote:
>>>
>>>> This query has been added in https://trac.sagemath.org/ticket/10433.
>>>> I don't think that priority queue can be of any help to speed up the 
>>>> current code.
>>>>
>>>> On Sunday, April 10, 2022 at 11:03:41 AM UTC+2 adarsh.k...@gmail.com 
>>>> wrote:
>>>>
>>>>> Hi everyone,
>>>>>
>>>>> I was going through Sage's codebase, and I came across the file
>>>>> ```
>>>>> SAGE_ROOT/src/sage/graphs/spanning_tree.pyx
>>>>> ```
>>>>> [image: Screenshot from 2022-04-10 14-27-45.png]
>>>>>
>>>>> In the TODO section, it is mentioned that 
>>>>> ```
>>>>>     - Rewrite: func:`kruskal` to use priority queues.
>>>>> ```
>>>>>
>>>>> I looked it up on Google and StackOverFlow, but I didn't come across 
>>>>> any such implementation. The standard implementations all prefer to use 
>>>>> the 
>>>>> DisjointSet data structure. I would like to contribute to Sage and if 
>>>>> someone can point me to a good resource which discusses this concept, 
>>>>> preferably with a better time complexity than by using Disjoint Sets, 
>>>>> that 
>>>>> would be really great
>>>>>
>>>>

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