A limit theorem for the Shannon capacities of odd cycles I

被引:13
作者
Bohman, T [1 ]
机构
[1] MIT, Dept Math, Cambridge, MA 02139 USA
关键词
Shannon capacity; odd cycles;
D O I
10.1090/S0002-9939-03-06495-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper contains a construction for independent sets in the powers of odd cycles. It follows from this construction that the limit as n goes to infinity of n + 1/2 - Theta (C2n+1) is zero, where Theta(G) is the Shannon capacity of the graph G.
引用
收藏
页码:3559 / 3569
页数:11
相关论文
共 12 条
[1]   The Shannon capacity of a union [J].
Alon, N .
COMBINATORICA, 1998, 18 (03) :301-310
[2]  
Baumert L., 1971, COMPUTERS ALGEBRA NU, p[97, American]
[3]  
BERGE C, 1973, BALANCED HYPERGRAPHS
[4]  
BOHMAN T, P 2000 IEEE INT S IN, P179
[5]   SOME PROBLEMS OF LOVASZ CONCERNING THE SHANNON CAPACITY OF A GRAPH [J].
HAEMERS, W .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1979, 25 (02) :231-232
[6]  
Haemers WH., 1978, C MATH SOC J BOLYAI, V25, P267
[7]  
Hales R. S., 1973, Journal of Combinatorial Theory, Series B, V15, P146, DOI 10.1016/0095-8956(73)90014-2
[8]   Zero-error information theory [J].
Korner, J ;
Orlitsky, A .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (06) :2207-2229
[9]   ON THE SHANNON CAPACITY OF A GRAPH [J].
LOVASZ, L .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1979, 25 (01) :1-7
[10]  
McEliece R. J., 1978, J COMBIN INFORM SYST, V3, P134