Title
A nontrivial lower bound on the Shannon capacities of the complements of odd cycles
Abstract
This article contains a construction for independent sets in the powers of the complements of odd cycles. In particular, we show that α(C~2n+3(2n))≥2(2n)+1. It follows that for n≥0 we have Θ(C~2n+3)>2, where Θ(G) denotes the Shannon (1956) capacity of graph G.
Year
DOI
Venue
2003
10.1109/TIT.2002.808128
IEEE Transactions on Information Theory
Keywords
Field
DocType
channel capacity,graph theory,Shannon capacities,memoryless communication channel,nontrivial lower bound,odd cycle complements
Information theory,Graph theory,Discrete mathematics,Graph,Combinatorics,Upper and lower bounds,Channel capacity,Mathematics
Journal
Volume
Issue
ISSN
49
3
0018-9448
Citations 
PageRank 
References 
5
0.63
5
Authors
2
Name
Order
Citations
PageRank
Tom Bohman125033.01
Holzman, R.250.63