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Volumn 306, Issue 19-20, 2006, Pages 2593-2601

Asymptotic values of the Hall-ratio for graph powers

Author keywords

Fractional chromatic number; Graph power; Hall ratio; Shannon capacity

Indexed keywords

ASYMPTOTIC STABILITY; NUMERICAL ANALYSIS; NUMERICAL METHODS;

EID: 33748746050     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2005.12.042     Document Type: Article
Times cited : (7)

References (26)
  • 1
    • 0032411859 scopus 로고    scopus 로고
    • The Shannon capacity of a union
    • Alon N. The Shannon capacity of a union. Combinatorica 18 (1998) 301-310
    • (1998) Combinatorica , vol.18 , pp. 301-310
    • Alon, N.1
  • 2
    • 33748741062 scopus 로고    scopus 로고
    • N. Alon, Graph powers, in: Contemporary Combinatorics, Bolyai Society Mathematical Studies, vol. 10, János Bolyai Mathematical Society, Budapest, 2002, pp. 11-28.
  • 3
    • 12744277463 scopus 로고    scopus 로고
    • Graph products, Fourier analysis and spectral techniques
    • Alon N., Dinur I., Friedgut E., and Sudakov B. Graph products, Fourier analysis and spectral techniques. Geom. Funct. Anal. 14 (2004) 913-940
    • (2004) Geom. Funct. Anal. , vol.14 , pp. 913-940
    • Alon, N.1    Dinur, I.2    Friedgut, E.3    Sudakov, B.4
  • 4
    • 0029375605 scopus 로고
    • Repeated communication and Ramsey graphs
    • Alon N., and Orlitsky A. Repeated communication and Ramsey graphs. IEEE Trans. Inform. Theory 41 (1995) 1276-1289
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1276-1289
    • Alon, N.1    Orlitsky, A.2
  • 5
    • 0003878763 scopus 로고
    • North-Holland, Amsterdam
    • Berge C. Hypergraphs (1989), North-Holland, Amsterdam
    • (1989) Hypergraphs
    • Berge, C.1
  • 7
    • 33748753224 scopus 로고    scopus 로고
    • C. Berge, M. Simonovits, The coloring numbers of the direct product of two hypergraphs, in: Hypergraph Seminar, Proceedings of the First Working Seminar, Ohio State University, Columbus, OH, 1972 (dedicated to Arnold Ross), Lecture Notes in Mathematics, vol. 411, Springer, Berlin, 1974, pp. 21-33.
  • 8
    • 0030369563 scopus 로고    scopus 로고
    • The ultimate categorical independence ratio of a graph
    • Brown J.I., Nowakowski R.J., and Rall D. The ultimate categorical independence ratio of a graph. SIAM J. Discrete Math. 9 (1996) 290-300
    • (1996) SIAM J. Discrete Math. , vol.9 , pp. 290-300
    • Brown, J.I.1    Nowakowski, R.J.2    Rall, D.3
  • 9
    • 33748748254 scopus 로고    scopus 로고
    • M. Cropper, A. Gyárfás, J. Lehel, Hall-ratio of the Mycielski graphs, Manuscript, submitted for publication.
  • 12
    • 26844437499 scopus 로고
    • An analogue of the Shannon capacity of a graph
    • Farber M. An analogue of the Shannon capacity of a graph. SIAM J. Algebraic Discrete Methods 7 (1986) 67-72
    • (1986) SIAM J. Algebraic Discrete Methods , vol.7 , pp. 67-72
    • Farber, M.1
  • 13
    • 0011316835 scopus 로고
    • The chromatic number and other functions of the lexicographic product
    • Geller D., and Stahl S. The chromatic number and other functions of the lexicographic product. J. Combin. Theory Ser. B 19 (1975) 87-95
    • (1975) J. Combin. Theory Ser. B , vol.19 , pp. 87-95
    • Geller, D.1    Stahl, S.2
  • 14
    • 21844487947 scopus 로고
    • On the ultimate independence ratio of a graph
    • Hahn G., Hell P., and Poljak S. On the ultimate independence ratio of a graph. European J. Combin. 16 (1995) 253-261
    • (1995) European J. Combin. , vol.16 , pp. 253-261
    • Hahn, G.1    Hell, P.2    Poljak, S.3
  • 15
    • 0042904708 scopus 로고
    • Analogues of the Shannon capacity of a graph
    • Hell P., and Roberts F.S. Analogues of the Shannon capacity of a graph. Ann. Discrete Math. 12 (1982) 155-168
    • (1982) Ann. Discrete Math. , vol.12 , pp. 155-168
    • Hell, P.1    Roberts, F.S.2
  • 16
    • 0005517802 scopus 로고
    • Independence ratios of graph powers
    • Hell P., Yu X., and Zhou H. Independence ratios of graph powers. Discrete Math. 127 (1994) 213-220
    • (1994) Discrete Math. , vol.127 , pp. 213-220
    • Hell, P.1    Yu, X.2    Zhou, H.3
  • 18
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • Lovász L. On the ratio of optimal integral and fractional covers. Discrete Math. 13 (1975) 383-390
    • (1975) Discrete Math. , vol.13 , pp. 383-390
    • Lovász, L.1
  • 19
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • Lovász L. On the Shannon capacity of a graph. IEEE Trans. Inform. Theory 25 (1979) 1-7
    • (1979) IEEE Trans. Inform. Theory , vol.25 , pp. 1-7
    • Lovász, L.1
  • 20
    • 0013082878 scopus 로고
    • On the Shannon capacity of probabilistic graphs
    • Marton K. On the Shannon capacity of probabilistic graphs. J. Combin. Theory Ser. B 57 (1993) 183-195
    • (1993) J. Combin. Theory Ser. B , vol.57 , pp. 183-195
    • Marton, K.1
  • 21
    • 0000825232 scopus 로고
    • Hide and seek, data storage, and entropy
    • McEliece R.J., and Posner E.C. Hide and seek, data storage, and entropy. Ann. Math. Statist. 42 (1971) 1706-1716
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1706-1716
    • McEliece, R.J.1    Posner, E.C.2
  • 24
    • 84938009281 scopus 로고
    • The zero-capacity of a noisy channel
    • Shannon C.E. The zero-capacity of a noisy channel. IRE Trans. Inform. Theory 2 (1956) 8-19
    • (1956) IRE Trans. Inform. Theory , vol.2 , pp. 8-19
    • Shannon, C.E.1
  • 25
    • 0001467577 scopus 로고
    • The zero-error side-information problem and chromatic numbers
    • Witsenhausen H.S. The zero-error side-information problem and chromatic numbers. IEEE Trans. Inform. Theory 22 (1976) 592-593
    • (1976) IEEE Trans. Inform. Theory , vol.22 , pp. 592-593
    • Witsenhausen, H.S.1
  • 26
    • 0005518297 scopus 로고    scopus 로고
    • On the bounds for the ultimate independence ratio of a graph
    • Zhu X. On the bounds for the ultimate independence ratio of a graph. Discrete Math. 156 (1996) 229-236
    • (1996) Discrete Math. , vol.156 , pp. 229-236
    • Zhu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.