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Groups > comp.programming > #8047

Re: on cut edges and bonds, graph theory

From Richard Heathfield <rjh@cpax.org.uk>
Newsgroups comp.programming, alt.algebra.help
Subject Re: on cut edges and bonds, graph theory
Date 2017-09-25 09:46 +0100
Organization Fix this later
Message-ID <oqafp2$3g0$1@dont-email.me> (permalink)
References (10 earlier) <Pine.NEB.4.64.1709221937340.19630@panix5.panix.com> <87shfd4j8m.fsf@bsb.me.uk> <Pine.NEB.4.64.1709232202210.10136@panix5.panix.com> <oq7jus$26s$1@dont-email.me> <Pine.NEB.4.64.1709250109100.19867@panix5.panix.com>

Cross-posted to 2 groups.

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On 25/09/17 09:13, William Elliot wrote:
> On Sun, 24 Sep 2017, Richard Heathfield wrote:
>> On 24/09/17 06:04, William Elliot wrote:
>>>> I didn't use any non-standard proprietary control characters.
>>>
>>>>> The book uses an over bar for that case: [S, S?~E].
>>>>> For [A, B] to be an edge cut, A ?~H? B = V, A ?~H?
>>>
>>> That is what is unreadable.  What you see here is was cut and
>>> pasted into this reply.  On the screen, ? appears as a high-bit
>>> blank, ~E appears as a single character, ctrl-E and ~H appears
>>> as a single character, ctrl-H.  What did you type to get that?
>>
>> On my system, the following five-key combination will do it for
>> intersections:
>>
>> [Shift-Ctrl-U][2][2][2][9]
>>
>> Which results in the [∩] character (the INTERSECTION character).
>>
>> And for unions it's [Shift-Ctrl-U][2][2][2][A]:
> 
> $\cup$ in TeX is simpler and readable by all.

I covered that suggestion in an earlier reply.

>> Which results in the [∪] character (the UNION character). As I look
>> at them when writing this, they are perfect renditions of the usual
>> symbols employed by mathematicians for those purposes.
> 
>> Your system may behave differently, of course.
>> Computers are like that.
> 
>> 2229 and 222A are, respectively, the Unicode code points for
>> intersections and unions. To the best of my knowledge these are
>> standard, non-proprietary characters.
> 
> It's not implimented by all software.

What is?

-- 
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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Thread

on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-18 12:51 -0300
  Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-18 20:40 +0100
    Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-18 21:39 -0700
      Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-19 13:05 +0100
        Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-19 19:47 -0700
          Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-20 14:28 +0100
            Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-20 21:06 -0700
              Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-21 17:03 +0100
                Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-21 15:06 -0300
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-21 21:24 +0100
                Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-21 17:57 -0300
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-21 23:40 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-21 20:45 -0700
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-23 02:27 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-22 19:49 -0700
                Re: on cut edges and bonds, graph theory Richard Heathfield <rjh@cpax.org.uk> - 2017-09-23 08:04 +0100
                Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-23 08:41 -0300
                Re: on cut edges and bonds, graph theory Paul N <gw7rib@aol.com> - 2017-09-24 14:00 -0700
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-23 14:50 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-23 22:04 -0700
                Re: on cut edges and bonds, graph theory Richard Heathfield <rjh@cpax.org.uk> - 2017-09-24 07:39 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-25 01:13 -0700
                Re: on cut edges and bonds, graph theory Richard Heathfield <rjh@cpax.org.uk> - 2017-09-25 09:46 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-25 21:38 -0700
                Re: on cut edges and bonds, graph theory Richard Heathfield <rjh@cpax.org.uk> - 2017-09-26 10:19 +0100
                Modern Trash William Elliot <marsh@panix.com> - 2017-09-26 03:37 -0700
                Re: Modern Trash David Brown <david.brown@hesbynett.no> - 2017-09-26 12:52 +0200
                Re: Modern Trash Richard Heathfield <rjh@cpax.org.uk> - 2017-09-26 23:10 +0100
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-24 22:33 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-25 01:08 -0700
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-25 20:44 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-25 21:36 -0700
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-26 12:04 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-26 23:15 -0700
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-27 12:52 +0100
                Re: on cut edges and bonds, graph theory William Elliot <marsh@panix.com> - 2017-09-27 19:55 -0700
                Re: on cut edges and bonds, graph theory Ike Naar <ike@iceland.freeshell.org> - 2017-09-24 16:55 +0000
        Re: on cut edges and bonds, graph theory David Brown <david.brown@hesbynett.no> - 2017-09-22 10:23 +0200
          Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-22 21:18 +0100
            Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-23 08:48 -0300
            Re: on cut edges and bonds, graph theory David Brown <david.brown@hesbynett.no> - 2017-09-25 10:17 +0200
              Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-25 07:31 -0300
                Re: on cut edges and bonds, graph theory David Brown <david.brown@hesbynett.no> - 2017-09-25 13:30 +0200
              Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-25 20:32 +0100
                Re: on cut edges and bonds, graph theory David Brown <david.brown@hesbynett.no> - 2017-09-26 10:12 +0200
                Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-26 11:53 +0100
                Re: on cut edges and bonds, graph theory David Brown <david.brown@hesbynett.no> - 2017-09-26 13:24 +0200
    Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-19 16:21 -0300
      Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-20 17:43 +0100
        Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-21 16:20 -0300
          Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-21 17:52 -0300
          Re: on cut edges and bonds, graph theory Ben Bacarisse <ben.usenet@bsb.me.uk> - 2017-09-21 22:02 +0100
            Re: on cut edges and bonds, graph theory Daniel Bastos <dbastos@toledo.com> - 2017-09-23 13:42 -0300

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