DocumentCode :
754762
Title :
Bounds on the Number of Possible Distinct Networks
Author :
Nesenbergs, Martin
Author_Institution :
Inst. for Telecommunication Sciences, Boulder, CO
Volume :
26
Issue :
8
fYear :
1978
fDate :
8/1/1978 12:00:00 AM
Firstpage :
1315
Lastpage :
1316
Abstract :
This note is concerned with the number of all distinct networks, also called connected graphs, or Cayley, or linear graphs that are possible for n given nodes. Since for any practical number of nodes an explicit enumeration appears difficult, if not impossible, we offer an improved lower bound that enables tight approximation for n reasonably large.
Keywords :
Graph theory; Communications Society; Telecommunication computing; Telecommunication network topology; Tree graphs; US Department of Commerce; Upper bound;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1978.1094222
Filename :
1094222
Link To Document :
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