DocumentCode :
1187395
Title :
On the number of essential complementary partitions
Author :
Kajitani, Y. ; Ueno, Satoshi
Volume :
29
Issue :
8
fYear :
1982
fDate :
8/1/1982 12:00:00 AM
Firstpage :
572
Lastpage :
574
Abstract :
The essential complementary partition of a finite set V was defined by Chen [1] for the purpose of listing all trees of a graph. For V of cardinality k , Chen and Goyal [2] conjectured that the number of distinct essential complementary partitions is 2(k + 1)^{k-2} . This correspondence proves that this conjecture is true.
Keywords :
Trees; Circuits and systems; Partitioning algorithms; Tree graphs;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1982.1085187
Filename :
1085187
Link To Document :
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