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Volumn 11, Issue 4, 2009, Pages 907-916

On the structural non-identifiability of flexible branched polymers

Author keywords

Branched polymer; Cospectral graph; Gaussian chain; Graph theory; Laplacian matrix; Rouse matrix; Tree; Zimm matrix

Indexed keywords


EID: 77953519411     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e11040907     Document Type: Article
Times cited : (9)

References (33)
  • 1
    • 1642633079 scopus 로고    scopus 로고
    • Solution properties of branched macromolecules
    • Burchard, W. Solution properties of branched macromolecules. Adv. Polym. Sci. 1999, 143, 113-194.
    • (1999) Adv. Polym. Sci. , vol.143 , pp. 113-194
    • Burchard, W.1
  • 2
    • 0002892016 scopus 로고
    • Long chain branching in polymers
    • Small, R.A. Long chain branching in polymers. Adv. Polym. Sci. 1975, 18, 1-64.
    • (1975) Adv. Polym. Sci. , vol.18 , pp. 1-64
    • Small, R.A.1
  • 3
    • 0001304292 scopus 로고
    • A topological approach to statistics and dynamics of chain molecules
    • Nitta, K. A topological approach to statistics and dynamics of chain molecules. J. Chem. Phys. 1994, 101, 4222-4228.
    • (1994) J. Chem. Phys. , vol.101 , pp. 4222-4228
    • Nitta, K.1
  • 5
    • 36849141559 scopus 로고
    • Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence and dielectric loss
    • Zimm, B.H. Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence and dielectric loss. J. Chem. Phys. 1956, 24, 269-278.
    • (1956) J. Chem. Phys. , vol.24 , pp. 269-278
    • Zimm, B.H.1
  • 6
    • 0002351649 scopus 로고
    • Functional integrals and polymer statistics
    • Freed, K.F. Functional integrals and polymer statistics. Adv. Chem. Phys. 1972, 22, 1-128.
    • (1972) Adv. Chem. Phys. , vol.22 , pp. 1-128
    • Freed, K.F.1
  • 7
    • 0344252790 scopus 로고
    • A theory of the linear viscoelastic properties of dilute solutions of coiling polymers
    • Rouse, P.E. A theory of the linear viscoelastic properties of dilute solutions of coiling polymers.J. Chem. Phys. 1953, 21, 1272-1280.
    • (1953) J. Chem. Phys. , vol.21 , pp. 1272-1280
    • Rouse, P.E.1
  • 8
    • 36849139808 scopus 로고
    • The viscoelastic properties of plastics
    • Bueche, F. The viscoelastic properties of plastics. J. Chem. Phys. 1954, 22, 603-609.
    • (1954) J. Chem. Phys. , vol.22 , pp. 603-609
    • Bueche, F.1
  • 9
    • 0001669863 scopus 로고
    • Viscosity theory of branched and cross-linked polymers
    • Ham, J.D. Viscosity theory of branched and cross-linked polymers, J. Chem. Phys. 1957, 26, 625-633.
    • (1957) J. Chem. Phys. , vol.26 , pp. 625-633
    • Ham, J.D.1
  • 10
    • 0002027343 scopus 로고
    • Configuration statistics of Gaussian molecules
    • Eichinger, B.E. Configuration statistics of Gaussian molecules. Macromolecules 1980, 13, 1-11.
    • (1980) Macromolecules , vol.13 , pp. 1-11
    • Eichinger, B.E.1
  • 11
    • 0026931828 scopus 로고
    • Reduced description of the local dynamics of star polymers
    • Guenza, M.; Perico, A.A. Reduced description of the local dynamics of star polymers. Macromolecules 1992, 25, 5942-5949.
    • (1992) Macromolecules , vol.25 , pp. 5942-5949
    • Guenza, M.1    Perico, A.A.2
  • 12
    • 0000914243 scopus 로고
    • Unperturbed dimension and translational friction of branched polymers
    • Kurata, M.; Fukatsu, M. Unperturbed dimension and translational friction of branched polymers. J. Chem. Phys. 1964, 41, 2934-2944.
    • (1964) J. Chem. Phys. , vol.41 , pp. 2934-2944
    • Kurata, M.1    Fukatsu, M.2
  • 13
    • 0000582438 scopus 로고
    • Graph theory and the statistics and dynamics of polymer chains
    • Forsman, W.C. Graph theory and the statistics and dynamics of polymer chains. J. Chem. Phys. 1976, 65, 4111-4115.
    • (1976) J. Chem. Phys. , vol.65 , pp. 4111-4115
    • Forsman, W.C.1
  • 15
    • 0542393803 scopus 로고    scopus 로고
    • Graph theory of viscoelastic and configurational properties of Gaussian chains
    • Yang, Y. Graph theory of viscoelastic and configurational properties of Gaussian chains. Macromol. Theory Simul. 1998, 7, 521-549.
    • (1998) Macromol. Theory Simul. , vol.7 , pp. 521-549
    • Yang, Y.1
  • 16
    • 0033241726 scopus 로고    scopus 로고
    • A Graph-theoretical Approach to Statistics and Dynamics of Tree-like Molecules
    • Nitta, K. A Graph-theoretical Approach to Statistics and Dynamics of Tree-like Molecules, J. Math. Chem. 1999, 25, 133-142.
    • (1999) J. Math. Chem. , vol.25 , pp. 133-142
    • Nitta, K.1
  • 17
    • 0035470256 scopus 로고    scopus 로고
    • Topological analysis of long-chain branching patterns in polyolefins reciprocal distance matrix
    • Bonchev, D.; Markel, E.; Dekmezian, A.H. Topological analysis of long-chain branching patterns in polyolefins reciprocal distance matrix. J. Chem. Inf. Comput. Sci. 2001, 41, 1274-1285.
    • (2001) J. Chem. Inf. Comput. Sci. , vol.41 , pp. 1274-1285
    • Bonchev, D.1    Markel, E.2    Dekmezian, A.H.3
  • 18
    • 0009104203 scopus 로고    scopus 로고
    • Application of graph theory to the statistical thermodynamics of lattice polymers. I. Elements of theory and test for dimers
    • Brazhinik, O.D.; Freed, K.F. Application of graph theory to the statistical thermodynamics of lattice polymers. I. Elements of theory and test for dimers. J. Chem. Phys. 1996, 105,837-861.
    • (1996) J. Chem. Phys. , vol.105 , pp. 837-861
    • Brazhinik, O.D.1    Freed, K.F.2
  • 19
    • 0001080062 scopus 로고
    • The determinant of the adjacency matrix of a graph
    • Harary, F. The determinant of the adjacency matrix of a graph. SIAM 1962, 4, 202-210.
    • (1962) SIAM , vol.4 , pp. 202-210
    • Harary, F.1
  • 22
  • 24
    • 33947293671 scopus 로고
    • The characteristic polynomial does not uniquely determined the topology of a molecule
    • Balaban, A.T.; Harary, F. The characteristic polynomial does not uniquely determined the topology of a molecule. J. Chem. Doc. 1971, 11, 258-259.
    • (1971) J. Chem. Doc. , vol.11 , pp. 258-259
    • Balaban, A.T.1    Harary, F.2
  • 25
    • 0000157438 scopus 로고
    • Spectral differences between isospectral molecules
    • Heilbronner, E.; Jones, T.B. Spectral differences between isospectral molecules. J. Am. Chem. Soc. 1978, 27, 6506-6507.
    • (1978) J. Am. Chem. Soc. , vol.27 , pp. 6506-6507
    • Heilbronner, E.1    Jones, T.B.2
  • 26
    • 70649105372 scopus 로고    scopus 로고
    • Masters Thesis, University of Manitoba, Winnipeg, MB, Canada
    • Newman, M.W. The Laplacian spectrum of graphs. Masters Thesis, University of Manitoba, Winnipeg, MB, Canada, 2000.
    • (2000) The Laplacian spectrum of graphs
    • Newman, M.W.1
  • 27
    • 29444443527 scopus 로고
    • On hearing the shape of a drum
    • Fisher, M.E. On hearing the shape of a drum. J. Comb. Theory 1966, 1, 105-125.
    • (1966) J. Comb. Theory , vol.1 , pp. 105-125
    • Fisher, M.E.1
  • 28
    • 0001719135 scopus 로고
    • Über die auflösung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanischer ströme geführt wird
    • Kirchhoff, G. Über die auflösung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanischer ströme geführt wird. Ann. Phys. Chem. 1984, 72, 497-508.
    • (1984) Ann. Phys. Chem. , vol.72 , pp. 497-508
    • Kirchhoff, G.1
  • 29
    • 0001633258 scopus 로고
    • On the spectral characteristics of trees
    • McKay, B. On the spectral characteristics of trees. Ars Combinatoria 1977, 3, 219-232.
    • (1977) Ars Combinatoria , vol.3 , pp. 219-232
    • McKay, B.1
  • 30
    • 11544285071 scopus 로고    scopus 로고
    • Large families of Laplacian isospectral graphs
    • Merris, R. Large families of Laplacian isospectral graphs. Linear Multilinear Algebra 1998, 278, 221-236.
    • (1998) Linear Multilinear Algebra , vol.278 , pp. 221-236
    • Merris, R.1
  • 32
    • 33847273846 scopus 로고    scopus 로고
    • Starlike trees are determined by their Laplacian spectrum
    • Omidi, G.R.; Tajbakhsh, K. Starlike trees are determined by their Laplacian spectrum. Linear Algebra Appl. 2007, 422, 654-658.
    • (2007) Linear Algebra Appl , vol.422 , pp. 654-658
    • Omidi, G.R.1    Tajbakhsh, K.2
  • 33
    • 0040167517 scopus 로고
    • The spectrum of a graph
    • V. ; Little, C. H. C., Ed. ; Springer-Verlag: Berlin, Germany
    • Godsil, C.; Holton, D.A.; McKay, B. The spectrum of a graph. In Combinatorial Mathematics V.; Little, C.H.C., Ed.; Springer-Verlag: Berlin, Germany, 1977; VII, pp. 91-117.
    • (1977) Combinatorial Mathematics , vol.7 , pp. 91-117
    • Godsil, C.1    Holton, D.A.2    McKay, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.