PS Note that if you ever did decide to have a method
G.is_disconnected() then I would want that to be False also for the
emtpy graph, just as 1 is not composite.

On 19 August 2013 17:07, Jernej Azarija <azi.std...@gmail.com> wrote:
> Hello!
>
> As you can check here
> http://mathoverflow.net/questions/120536/is-the-empty-graph-a-tree
>
> the big shot guys agree that the empty graph is to be considered
> disconnected. So YES in general, mathematicians appear to be depressed
> persons.....
>
>
>
>
> On Mon, Aug 19, 2013 at 5:51 PM, Nathann Cohen <nathann.co...@gmail.com>
> wrote:
>>
>> Helloooooooo everybody !!
>>
>> There is a discussion on theology going on at #15060, about whether we
>> should consider whether the empty graph is connected or not. We
>> already had one about deciding whether the empty graph is a tree or
>> not, and Karl-Dieter supposed that other discussions of this kind
>> already happened in Sage.
>>
>> Here's the thing : we have two definitions which conflict on a trivial
>> case only, and we have functions that are expected to answer whether
>> -- yes or no -- the property holds.
>>
>> I personally voted for not answering anything, and raising a "We Have
>> No Idea And We Don't Want To Be Forced To Give An Answer Exception" in
>> this case, for there is no way to give an answer that would not lead
>> anybody to very weird bugs.
>>
>> What do you think ? Darij agreed with this idea, and Karl-Dieter
>> believes that we should make a decision and answer something :-)
>>
>> Help us ! :-P
>>
>> Nathann
>
>
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