A nontrivial lower bound on the shannon capacities of the complements of odd cycles

IEEE Transactions on Information Theory

Volumn 49, Issue 3, 2003, Pages 721-722

  Bohman, Tom ^a   Holzman, Ron ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Graph powers; Independence number; Odd cycles; Shannon capacity

Indexed keywords

BOUNDARY CONDITIONS; COMMUNICATION CHANNELS (INFORMATION THEORY); GRAPH THEORY; THEOREM PROVING;

GRAPH POWERS; INDEPENDENCE NUMBER; LOWER BOUND; ODD CYCLES; SHANNON CAPACITY;

CHANNEL CAPACITY;

EID: 0037353792     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2002.808128     Document Type: Article

References (12)

1. N. Alon, "Graph powers," in Contemporary Combinatorics, B. Bollobas, Ed. Springer-Verlag, New York, 2002, pp. 11-28.
2. L. Baumert, R. McEliece, E. Rodemich, H. Rumsey, R. Stanley, and H. Taylor, "A combinatorial packing problem," in Computers in Algebra and Number Theory, G. Birkhoff and M. Hall, Eds. Providence, RI: Amer. Math. Soc., 1971, pp. 97-108.
3. C. Berge, Graphs and Hypergraphs. Amsterdam/London: North-Holland, 1973.
4. T. Bohman, "A limit theorem for the Shannon capacities of odd cycles," Proc. AMS.
5. M. Chudnovsky, N. Robertson, P. Seymour, and R. Thomas, "The strong perfect graph conjecture," in preparation.
6. G. Cornuéjols, "The strong perfect graph conjecture," manuscript.
7. R. S. Hales, "Numerical invariants and the strong product of graphs," J. Comb. Theory-B, vol. 15, pp. 146-155, 1973.
8. J. Körner and A. Orlitsky, "Zero-error information theory," IEEE Trans. Inform. Theory, vol. 44, pp. 2207-2229, Oct. 1998.
9. L. Lovász, "On the Shannon capacity of a graph," IEEE Trans. Inform. Theory, vol. IT-25, pp. 1-7, Jan. 1979.
10. J. Nešetrǐil and M. Rosenfeld, "I. Schur, C. E. Shannon and Ramsey numbers, a short story," Discr. Math., vol. 229, pp. 185-195, 2001.
11. C. E. Shannon, "The zero-error capacity of a noisy channel," IRE Trans. Inform. Theory, vol. IT-2, pp. 8-19, Sept. 1956.
12. A. Vesel and J. Zerovnik, "Improved lower bound on the Shannon capacity of C7," Inform. Processing Lett., vol. 81, no. 5, pp. 277-282, 2002.