X-Google-Language: ENGLISH,ASCII X-Google-Thread: f996b,ced2b975ce40b48d X-Google-Attributes: gidf996b,public X-Google-ArrivalTime: 2001-12-11 18:53:42 PST Date: Wed, 12 Dec 2001 03:52:39 +0100 Newsgroups: alt.ascii-art Mime-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit X-Newsreader: Virtual Access by Atlantic Coast PLC, http://www.soft-shop.com Organization: Dipl.-Ing. H.-J. Hoff Message-ID: Subject: Re: Tali's Moogies From: "H.-J. Hoff" Reply-To: hermann-josef.hoff@arcormail.de References: <3bf51490$0$765$edfadb0f@dspool01.news.tele.dk> <9t587n.3vvbkkh.1@MK.kasperhausen.de> <9tb7k0.3vvcs93.1@MK.kasperhausen.de> <3bf94951$0$25388$edfadb0f@dspool01.news.tele.dk> <3bf94a21.11777614@news.tpi.pl> <3bfa26a2.844203@News.CIS.DFN.DE> <3bfa5392.1511474@News.CIS.DFN.DE> <9tekel.3vvab97.1@MK.kasperhausen.de> <9v1qm6$1ok$00$1@news.t-online.com> NNTP-Posting-Host: 145.254.134.2 X-Trace: 12 Dec 2001 03:53:08 +0100, 145.254.134.2 Lines: 48 X-Complaints-To: abuse@arcor-ip.de Path: archiver1.google.com!news1.google.com!sn-xit-02!supernews.com!news.tele.dk!small.news.tele.dk!193.174.75.178!news-fra1.dfn.de!newsfeed.arcor-ip.de!news.arcor-ip.de!145.254.134.2 Xref: archiver1.google.com alt.ascii-art:12384 In article <9v1qm6$1ok$00$1@news.t-online.com>, Johannes 'Joey' R�ssel wrote: >Is istn't possible. For you have more than 2 'nodes' >with an uneven number >of lines goint to (or from?) it. Never had Euler's >graph theory (?) in >school? ;-) Yes, I had graph theory at school. But I don�t even remember if it was Euler�s. I only remember the Kuratowsky graph K3,3 (I believe that was/is it�s name) which is - as far as I remember - the simplest non planar graph (one that cannot be embedded into a plain or sphere). Propably everybody knows the problem, if it is possible to connect three houses to the gas-, the water- and electricity providers without crossing pipelines/cables. ) /--|--/ (( /|\ || |---| ____||__ ________ |/_\| <--this is not a rocket | | | ~~~~~~ | |\-/| nor a robot. It simply | gas | | ~water~| /---\ symbolizes electricity. |________| |________| / | \ (OK. Not good) | \ \___ | \ | \_ \_ | \_____ | \ \________ \ etc. | \___ \ \ __ . \ . \___ . |__| / \ \ / \ \/ \| /___\ /___\ /___\ | _ | |\ /| | _ | ||_|| | x | || || |___| |/_\| ||_|| Well, that�s enough. You know the problem. But it�s a theory, so I still got the chance to prove the opposite ;-). \�\ \�\\�� \\�\ \�\ \ \_\ \ �\ \\ \_\ \ \ \ \ \ _\ \\ \ \ \ \_\ \_\\__/ \_\ \_\