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Volumn 127, Issue 3, 2003, Pages 535-543

Exact bounds on the order of the maximum clique of a graph

Author keywords

Bound; Graph; Maximum clique

Indexed keywords

COMBINATORIAL MATHEMATICS;

EID: 84867960210     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(02)00386-4     Document Type: Article
Times cited : (39)

References (21)
  • 1
    • 4944219893 scopus 로고
    • Upper bounds of the order of a clique of a graph
    • A.T. Amin, and S.L. Hakimi Upper bounds of the order of a clique of a graph SIAM J. Appl. Math 22 4 1972 569 573
    • (1972) SIAM J. Appl. Math , vol.22 , Issue.4 , pp. 569-573
    • Amin, A.T.1    Hakimi, S.L.2
  • 2
    • 0000095120 scopus 로고    scopus 로고
    • Evolution towards the maximum clique
    • I.M. Bomze Evolution towards the maximum clique J. Global Optim 10 1997 143 164
    • (1997) J. Global Optim , vol.10 , pp. 143-164
    • Bomze, I.M.1
  • 3
    • 84867990919 scopus 로고    scopus 로고
    • personal communication
    • I.M. Bomze, personal communication.
    • Bomze, I.M.1
  • 7
    • 0019344547 scopus 로고
    • Lower bounds for the clique and the chromatic numbers of a graph
    • C.S. Edwards, and C.H. Elphick Lower bounds for the clique and the chromatic numbers of a graph Discrete Appl. Math 5 1983 51 64
    • (1983) Discrete Appl. Math , vol.5 , pp. 51-64
    • Edwards, C.S.1    Elphick, C.H.2
  • 8
  • 9
    • 0004151494 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, 1985/1992
    • R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985/1992, pp. xiv-562.
    • Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 11
    • 84867990918 scopus 로고    scopus 로고
    • Szeged (Hungary) 1978, Colloquia Mathematica János Bolyai, 25, North-Holland Publishing Company, Amsterdam, Oxford, New York
    • F. Juhász, On the spectrum of a random graph, Algebraic Methods in Graph Theory, Szeged (Hungary) 1978, Colloquia Mathematica János Bolyai, 25, Vol. I, North-Holland Publishing Company, Amsterdam, Oxford, New York, pp. 313-316.
    • On the Spectrum of A Random Graph, Algebraic Methods in Graph Theory , vol.1 , pp. 313-316
    • Juhász, F.1
  • 12
    • 0010715003 scopus 로고
    • The sandwich theorem, Electron
    • D.E. Knuth, The sandwich theorem, Electron. J. Combin. 1(A1) (1994) 48pp., http://www2.combinatorics.org/Volume-1/volume1.html\#A1.
    • (1994) J. Combin. , vol.1 , Issue.1 , pp. 48
    • Knuth, D.E.1
  • 14
    • 0000230999 scopus 로고
    • Maxima for graphs and a new proof of a theorem of Turán
    • T.S. Motzkin, and E.G. Straus Maxima for graphs and a new proof of a theorem of Turán Canad. J. Math 17 1965 533 540
    • (1965) Canad. J. Math , vol.17 , pp. 533-540
    • Motzkin, T.S.1    Straus, E.G.2
  • 15
    • 84972526624 scopus 로고
    • Bounds for the maximal characteristic root of a non-negative irreducible matrix
    • A. Ostrowski, and H. Schneider Bounds for the maximal characteristic root of a non-negative irreducible matrix Duke Math. J 27 1960 547 553
    • (1960) Duke Math. J , vol.27 , pp. 547-553
    • Ostrowski, A.1    Schneider, H.2
  • 16
    • 0000110396 scopus 로고
    • A global optimization approach for solving the maximum clique problem
    • P.M. Pardalos, and A.T. Philips A global optimization approach for solving the maximum clique problem Internat. J. Comput. Math 33 1990 209 216
    • (1990) Internat. J. Comput. Math , vol.33 , pp. 209-216
    • Pardalos, P.M.1    Philips, A.T.2
  • 17
    • 0038579896 scopus 로고
    • The maximum Clique problem
    • P.M. Pardalos, and J. Xue The maximum Clique problem J. Global Optim 4 1994 301 328
    • (1994) J. Global Optim , vol.4 , pp. 301-328
    • Pardalos, P.M.1    Xue, J.2
  • 18
    • 0029462615 scopus 로고
    • Relaxation labeling networks for the maximum Clique Problem
    • M. Pelillo Relaxation labeling networks for the maximum Clique Problem J. Artif. Neural Networks 2 4 1995 213 227
    • (1995) J. Artif. Neural Networks , vol.2 , Issue.4 , pp. 213-227
    • Pelillo, M.1
  • 19
    • 84963063024 scopus 로고
    • The eigenvalues of a graph and its chromatic number
    • H.S. Wilf The eigenvalues of a graph and its chromatic number J. London Math. Soc 42 1967 330 332
    • (1967) J. London Math. Soc , vol.42 , pp. 330-332
    • Wilf, H.S.1
  • 20
    • 38249042332 scopus 로고
    • Spectral bounds for the clique and independence numbers of graphs
    • H.S. Wilf Spectral bounds for the clique and independence numbers of graphs J. Combin. Theory Ser. B 40 1986 113 117
    • (1986) J. Combin. Theory Ser. B , vol.40 , pp. 113-117
    • Wilf, H.S.1
  • 21
    • 0040013512 scopus 로고
    • A bound on the spectral radius of graphs
    • H. Yuan A bound on the spectral radius of graphs Linear Algebra Appl 108 1988 135 139
    • (1988) Linear Algebra Appl , vol.108 , pp. 135-139
    • Yuan, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.