Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site gatech.UUCP Path: utzoo!watmath!clyde!bonnie!akgua!gatech!spaf From: spaf@gatech.UUCP (Gene Spafford) Newsgroups: net.news,net.jokes Subject: A News Conjecture Message-ID: <10424@gatech.UUCP> Date: Fri, 5-Oct-84 15:07:28 EDT Article-I.D.: gatech.10424 Posted: Fri Oct 5 15:07:28 1984 Date-Received: Sat, 6-Oct-84 05:09:07 EDT Distribution: net Organization: The Clouds Project, School of ICS, Georgia Tech Lines: 30 I just recompiled our uucp mail database and ran a short awk script over it for the heck of it. The information I got was: Number of paths with 1 hop is 38 Number of paths with 2 hops is 1277 Number of paths with 3 hops is 1070 Number of paths with 4 hops is 498 Number of paths with 5 hops is 81 Number of paths with 6 hops is 18 Number of paths with 7 hops is 1 Number of paths with > 7 hops is 0 Average path length is 2.786193 hops. I passed this along to our system administrator who made the following, rather interesting conjecture: The Johnson Theorem ------------------- The average number of sites in the uucp paths from a well-connected site to all reachable sites tends towards "e" as the number of sites tends towards infinity. Anybody have any further input? -- Off the Wall of Gene Spafford The Clouds Project, School of ICS, Georgia Tech, Atlanta GA 30332 CSNet: Spaf @ GATech ARPA: Spaf%GATech.CSNet @ CSNet-Relay.ARPA uucp: ...!{akgua,allegra,amd,hplabs,ihnp4,seismo,ut-sally}!gatech!spaf