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Volumn 22, Issue 6, 2009, Pages 916-921

Laplacian eigenvalues and partition problems in hypergraphs

Author keywords

Averaged minimal cut; Bipartition width; Domination number; Hypergraph; Independence number; Isoperimetric number; Laplacian Matrix; Max cut

Indexed keywords

AVERAGED MINIMAL CUT; BIPARTITION WIDTH; DOMINATION NUMBER; HYPERGRAPH; INDEPENDENCE NUMBER; ISOPERIMETRIC NUMBER; LAPLACIAN MATRIX; MAX-CUT;

EID: 64949123281     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2008.07.020     Document Type: Article
Times cited : (50)

References (13)
  • 1
    • 64949176921 scopus 로고
    • Spectra of graphs-theory and application
    • Academic Press, Berlin New York, 1980; second edition: 1982; Russian translation: Naukova Dunka, Kiev, 1984
    • Cvetković D.M., Doob M., and Sachs H. Spectra of graphs-theory and application. Deutscher Verlag der Wissenschaften (1980), Academic Press, Berlin New York, 1980; second edition: 1982; Russian translation: Naukova Dunka, Kiev, 1984
    • (1980) Deutscher Verlag der Wissenschaften
    • Cvetković, D.M.1    Doob, M.2    Sachs, H.3
  • 2
    • 0000827674 scopus 로고
    • A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
    • Fiedler M. A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czechoslovak Math. J. 67 100 (1975) 619-633
    • (1975) Czechoslovak Math. J. , vol.67 , Issue.100 , pp. 619-633
    • Fiedler, M.1
  • 4
    • 0010800312 scopus 로고    scopus 로고
    • Isoperimetric inequalities and eigenvalues
    • Kahale N. Isoperimetric inequalities and eigenvalues. SIAM J. Discrete Math. 10 1 (1997) 30-40
    • (1997) SIAM J. Discrete Math. , vol.10 , Issue.1 , pp. 30-40
    • Kahale, N.1
  • 5
    • 64949105419 scopus 로고    scopus 로고
    • Isoperimetric numbers of graph bundles
    • Kwak J.H., Lee J., and Sohn M.Y. Isoperimetric numbers of graph bundles. Graphs Combin. 39 (1996) 19-31
    • (1996) Graphs Combin. , vol.39 , pp. 19-31
    • Kwak, J.H.1    Lee, J.2    Sohn, M.Y.3
  • 6
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • Lovász L. On the Shannon capacity of a graph. IEEE Trans. Inform. Theory IT-25 (1979) 1-7
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , pp. 1-7
    • Lovász, L.1
  • 8
    • 0002676043 scopus 로고    scopus 로고
    • Some applications of Laplace eigenvalues of graphs
    • Hahn G., and Sabidussi G. (Eds), Kluwer Academic Publishers, Netherlands
    • Mohar B. Some applications of Laplace eigenvalues of graphs. In: Hahn G., and Sabidussi G. (Eds). Graph Symmetry (1997), Kluwer Academic Publishers, Netherlands 225-275
    • (1997) Graph Symmetry , pp. 225-275
    • Mohar, B.1
  • 9
    • 0001649842 scopus 로고
    • Isoperimetric numbers of graphs
    • Mohar B. Isoperimetric numbers of graphs. J. Combin. Theory, Ser. B 47 (1989) 274-291
    • (1989) J. Combin. Theory, Ser. B , vol.47 , pp. 274-291
    • Mohar, B.1
  • 10
    • 0000011910 scopus 로고
    • Laplace eigenvalues of graphs-a survey
    • Mohar B. Laplace eigenvalues of graphs-a survey. Discrete Math. 109 (1992) 171-183
    • (1992) Discrete Math. , vol.109 , pp. 171-183
    • Mohar, B.1
  • 11
    • 0042456003 scopus 로고
    • Eigenvalues and the max-cut problem
    • Mohar B., and Poljak S. Eigenvalues and the max-cut problem. Czechoslovak Math. J 40 115 (1990) 343-352
    • (1990) Czechoslovak Math. J , vol.40 , Issue.115 , pp. 343-352
    • Mohar, B.1    Poljak, S.2
  • 12
    • 0036004432 scopus 로고    scopus 로고
    • On the Laplacian eigenvalues and metric parameters of hypergraphs
    • Rodríguez J.A. On the Laplacian eigenvalues and metric parameters of hypergraphs. Linear and Multilinear Algebra 50 1 (2002) 1-14
    • (2002) Linear and Multilinear Algebra , vol.50 , Issue.1 , pp. 1-14
    • Rodríguez, J.A.1
  • 13
    • 0041728680 scopus 로고    scopus 로고
    • On the Laplacian spectrum and walk-regular hypergraphs
    • Rodríguez J.A. On the Laplacian spectrum and walk-regular hypergraphs. Linear and Multilinear Algebra 51 3 (2003) 285-297
    • (2003) Linear and Multilinear Algebra , vol.51 , Issue.3 , pp. 285-297
    • Rodríguez, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.