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Volumn 290, Issue 1-3, 1999, Pages 275-301

Eigenvalue interlacing and weight parameters of graphs

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EID: 0040884791     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10238-0     Document Type: Article
Times cited : (31)

References (35)
  • 1
    • 0039862238 scopus 로고    scopus 로고
    • On the connectivity and the conditional diameter of graphs and digraphs
    • C. Balbuena, A. Carmona, J. Fàbrega, M.A. Fiol, On the connectivity and the conditional diameter of graphs and digraphs, Networks 28 (1996) 97-105.
    • (1996) Networks , vol.28 , pp. 97-105
    • Balbuena, C.1    Carmona, A.2    Fàbrega, J.3    Fiol, M.A.4
  • 2
    • 0003573612 scopus 로고
    • Algebraic combinatorics I: Association schemes
    • Benjamin/Cummings, London
    • E. Bannai, T. Ito, Algebraic Combinatorics I: Association Schemes, Benjamin-Cummings Lecture Note Ser. 58, Benjamin/Cummings, London, 1984.
    • (1984) Benjamin-cummings Lecture Note Ser. 58
    • Bannai, E.1    Ito, T.2
  • 3
    • 84985485401 scopus 로고
    • Some odd graph theory
    • New York
    • N. Biggs, Some odd graph theory, Annals New York Acad. Sci. 319, New York, 1979, pp. 71-81.
    • (1979) Annals New York Acad. Sci. , vol.319 , pp. 71-81
    • Biggs, N.1
  • 4
    • 0004242420 scopus 로고
    • Cambridge University Press, Cambridge, 2nd ed.
    • N. Biggs, Algebraic Graph Theory, Cambridge University Press, Cambridge, 1974; 2nd ed., 1993.
    • (1974) Algebraic Graph Theory
    • Biggs, N.1
  • 5
    • 0013477370 scopus 로고
    • New large bipartite graphs with given degree and diameter
    • I. Bond, C. Delorme, New large bipartite graphs with given degree and diameter, Ars Combin. 25C (1988) 123-132.
    • (1988) Ars Combin. , vol.25 C , pp. 123-132
    • Bond, I.1    Delorme, C.2
  • 8
    • 0030577673 scopus 로고    scopus 로고
    • Upper bounds for eigenvalues for the discrete and continuous Laplace operators
    • F.R.K. Chung, A. Grigor'yan, S.-T. Yau, Upper bounds for eigenvalues for the discrete and continuous Laplace operators, Adv. Math. 117 (1996) 165-178.
    • (1996) Adv. Math. , vol.117 , pp. 165-178
    • Chung, F.R.K.1    Grigor'yan, A.2    Yau, S.-T.3
  • 11
    • 0010707546 scopus 로고    scopus 로고
    • Bounds on special subsets in graphs, eigenvalues and association schemes
    • E.R. van Dam, Bounds on special subsets in graphs, eigenvalues and association schemes, J. Algebraic Combin. 7 (3) (1998) 321-332.
    • (1998) J. Algebraic Combin. , vol.7 , Issue.3 , pp. 321-332
    • Van Dam, E.R.1
  • 13
    • 0003312615 scopus 로고    scopus 로고
    • Eigenvalues, eigenspaces and distances to subsets
    • C. Delorme, J.P. Tillich, Eigenvalues, eigenspaces and distances to subsets, Discrete Math. 165-166 (1-3) (1997) 161-184.
    • (1997) Discrete Math. , vol.165-166 , Issue.1-3 , pp. 161-184
    • Delorme, C.1    Tillich, J.P.2
  • 15
    • 0037600800 scopus 로고    scopus 로고
    • An eigenvalue characterization of antipodal distance-regular graphs
    • M.A. Fiol, An eigenvalue characterization of antipodal distance-regular graphs, Electron. J. Combin. 4 (1) (1997) #R30.
    • (1997) Electron. J. Combin. , vol.4 , Issue.1
    • Fiol, M.A.1
  • 16
    • 0010709154 scopus 로고    scopus 로고
    • The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs
    • M.A. Fiol, E. Garriga, The alternating and adjacency polynomials, and their relation with the spectra and diameters of graphs, Discrete Appl. Math. 87 (1-3) (1998) 77-97.
    • (1998) Discrete Appl. Math. , vol.87 , Issue.1-3 , pp. 77-97
    • Fiol, M.A.1    Garriga, E.2
  • 18
    • 0030144393 scopus 로고    scopus 로고
    • On a class of polynomials and its relation with the spectra and diameters of graphs
    • M.A. Fiol, E. Garriga, J.L.A. Yebra, On a class of polynomials and its relation with the spectra and diameters of graphs, J. Combin. Theory Ser. B 67 (1996) 48-61.
    • (1996) J. Combin. Theory Ser. B , vol.67 , pp. 48-61
    • Fiol, M.A.1    Garriga, E.2    Yebra, J.L.A.3
  • 20
    • 0010669905 scopus 로고    scopus 로고
    • The alternating polynomials and their relation with the spectra and conditional diameters of graphs
    • M.A. Fiol, E. Garriga, J.L.A. Yebra, The alternating polynomials and their relation with the spectra and conditional diameters of graphs, Discrete Math. 167-168 (1-3) (1997) 297-307.
    • (1997) Discrete Math. , vol.167-168 , Issue.1-3 , pp. 297-307
    • Fiol, M.A.1    Garriga, E.2    Yebra, J.L.A.3
  • 23
    • 0002541912 scopus 로고
    • Feasibility conditions for the existence of walk-regular graphs
    • C.D. Godsil, B.D. McKay, Feasibility conditions for the existence of walk-regular graphs, Linear Algebra Appl. 30 (1980) 51-61.
    • (1980) Linear Algebra Appl. , vol.30 , pp. 51-61
    • Godsil, C.D.1    McKay, B.D.2
  • 24
    • 0041004823 scopus 로고
    • Eigenvalue methods
    • A. Schrijver (Ed.), Packing and Covering in Combinatorics, Mathematical Centre, Amsterdam
    • W.H. Haemers, Eigenvalue methods, in: A. Schrijver (Ed.), Packing and Covering in Combinatorics, Math. Centre Tract 106, Mathematical Centre, Amsterdam, 1979, pp. 15-38.
    • (1979) Math. Centre Tract , vol.106 , pp. 15-38
    • Haemers, W.H.1
  • 26
    • 22044432097 scopus 로고
    • Interlacing eigenvalues and graphs
    • W.H. Haemers, Interlacing eigenvalues and graphs, Linear Algebra Appl. 226-228 (1995) 593-616.
    • (1995) Linear Algebra Appl. , vol.226-228 , pp. 593-616
    • Haemers, W.H.1
  • 27
    • 0039818145 scopus 로고
    • On eigenvalues and coloring of graphs
    • B. Harris (Ed.), Academic Press, New York
    • A.J. Hoffman, On eigenvalues and coloring of graphs, in: B. Harris (Ed.), Graph Theory and its Applications, Academic Press, New York, 1970, pp. 79-91.
    • (1970) Graph Theory and Its Applications , pp. 79-91
    • Hoffman, A.J.1
  • 28
    • 0010800312 scopus 로고    scopus 로고
    • Isoperimetric inequalities and eigenvalues
    • N. Kahale, 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
  • 30
    • 0018292109 scopus 로고
    • On the Shannon capacity of a graph
    • L. Lovász. On the Shannon capacity of a graph, IEEE Trans. Inform. Theory IT-25 (1) (1979) 1-7.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , Issue.1 , pp. 1-7
    • Lovász, L.1
  • 33
    • 0001216057 scopus 로고
    • The Laplacian spectrum of graphs
    • Y. Alavi et. al. (Eds.). Wiley, New York
    • B. Mohar, The Laplacian spectrum of graphs, in: Y. Alavi et. al. (Eds.). Graph Theory, Combinatorics and Applications, vol. 2, Wiley, New York, 1991, pp. 871-898.
    • (1991) Graph Theory, Combinatorics and Applications , vol.2 , pp. 871-898
    • Mohar, B.1
  • 35
    • 84938009281 scopus 로고
    • The zero-error capacity of a noisy channel
    • C.E. Shannon, The zero-error capacity of a noisy channel, IRE Trans. Inform. Theory IT-2 (3) (1956) 8-19.
    • (1956) IRE Trans. Inform. Theory , vol.IT-2 , Issue.3 , pp. 8-19
    • Shannon, C.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.