메뉴 건너뛰기




Volumn 37, Issue 6, 1997, Pages 1095-1100

Matrix operator, W(M1,M2,M3), and schultz-type indices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042323705     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci970019u     Document Type: Article
Times cited : (13)

References (38)
  • 1
    • 8544254107 scopus 로고
    • Structural Determination of Paraffin Boiling Points
    • Wiener, H. Structural Determination of Paraffin Boiling Points. J. Am. Chem. Soc. 1947, 69, 17-20.
    • (1947) J. Am. Chem. Soc. , vol.69 , pp. 17-20
    • Wiener, H.1
  • 2
    • 0024715163 scopus 로고
    • Topological Organic Chemistry. 1. Graph Theory and Topological Indices of Alkanes
    • Schultz, H. P. Topological Organic Chemistry. 1. Graph Theory and Topological Indices of Alkanes. J. Chem. Inf. Comput. Sci. 1989, 29, 227-228.
    • (1989) J. Chem. Inf. Comput. Sci. , vol.29 , pp. 227-228
    • Schultz, H.P.1
  • 3
    • 0001912640 scopus 로고
    • Topological Organic Chemistry. 2. Graph Theory, Matrix Determinants and Eigenvalues, and Topological Indices of Alkanes
    • Schultz, H. P.; Schultz, E. B.; Schultz, T. P. Topological Organic Chemistry. 2. Graph Theory, Matrix Determinants and Eigenvalues, and Topological Indices of Alkanes. J. Chem. Inf. Comput. Sci. 1990, 30, 27-29.
    • (1990) J. Chem. Inf. Comput. Sci. , vol.30 , pp. 27-29
    • Schultz, H.P.1    Schultz, E.B.2    Schultz, T.P.3
  • 4
    • 0042323687 scopus 로고
    • Topological Organic Chemistry. 3. Graph Theory, Binary and Decimal Adjacency Matrices, and Topological Indices of Alkanes
    • Schultz, H. P.; Schultz, T. P. Topological Organic Chemistry. 3. Graph Theory, Binary and Decimal Adjacency Matrices, and Topological Indices of Alkanes. J. Chem. Inf. Comput. Sci. 1991, 31, 144-147.
    • (1991) J. Chem. Inf. Comput. Sci. , vol.31 , pp. 144-147
    • Schultz, H.P.1    Schultz, T.P.2
  • 5
    • 0003049467 scopus 로고
    • Topological Organic Chemistry. 4. Graph Theory, Matrix Permanents, and Topological Indices of Alkanes
    • Schultz, H. P.; Schultz, E. B.; Schultz, T. P. Topological Organic Chemistry. 4. Graph Theory, Matrix Permanents, and Topological Indices of Alkanes. J. Chem. Inf. Comput. Sci. 1992, 32, 69-72.
    • (1992) J. Chem. Inf. Comput. Sci. , vol.32 , pp. 69-72
    • Schultz, H.P.1    Schultz, E.B.2    Schultz, T.P.3
  • 6
    • 0041822788 scopus 로고
    • Topological Organic Chemistry. 5. Graph Theory, Matrix Hafnians and Pfaffnians, and Topological Indices of Alkanes
    • Schultz, H. P.; Schultz, T. P. Topological Organic Chemistry. 5. Graph Theory, Matrix Hafnians and Pfaffnians, and Topological Indices of Alkanes. J. Chem. Inf. Comput. Sci. 1992, 32, 364-366.
    • (1992) J. Chem. Inf. Comput. Sci. , vol.32 , pp. 364-366
    • Schultz, H.P.1    Schultz, T.P.2
  • 7
    • 0005518276 scopus 로고
    • Topological Organic Chemistry. 6. Theory and Topological Indices of Cycloalkanes
    • Schultz, H. P.; Schultz, T. P. Topological Organic Chemistry. 6. Theory and Topological Indices of Cycloalkanes. J. Chem. Inf. Comput. Sci. 1993, 33, 240-244.
    • (1993) J. Chem. Inf. Comput. Sci. , vol.33 , pp. 240-244
    • Schultz, H.P.1    Schultz, T.P.2
  • 8
    • 0027703181 scopus 로고
    • Topological Organic Chemistry. 7. Graph Theory and Molecular Topological Indices of Unsaturated and Aromatic Hydrocarbons
    • Schultz, H. P.; Schultz, E. B.; Schultz, T. P. Topological Organic Chemistry. 7. Graph Theory and Molecular Topological Indices of Unsaturated and Aromatic Hydrocarbons. J. Chem. Inf. Comput. Sci. 1993, 33, 863-867.
    • (1993) J. Chem. Inf. Comput. Sci. , vol.33 , pp. 863-867
    • Schultz, H.P.1    Schultz, E.B.2    Schultz, T.P.3
  • 9
    • 0028499618 scopus 로고
    • Topological Organic Chemistry. 8. Graph Theory and Topological Indices of Heteronuclear Systems
    • Schultz, H. P.; Schultz, E. B.; Schultz, T. P. Topological Organic Chemistry. 8. Graph Theory and Topological Indices of Heteronuclear Systems. J. Chem. Inf. Comput. Sci. 1994, 34, 1151-1157.
    • (1994) J. Chem. Inf. Comput. Sci. , vol.34 , pp. 1151-1157
    • Schultz, H.P.1    Schultz, E.B.2    Schultz, T.P.3
  • 10
    • 0000551603 scopus 로고
    • Topological Organic Chemistry. 9. Graph Theory and Molecular Topological Indices of Stereoisomeric Compounds
    • Schultz, H. P.; Schultz, E. B.; Schultz, T. P. Topological Organic Chemistry. 9. Graph Theory and Molecular Topological Indices of Stereoisomeric Compounds. J. Chem. Inf. Comput. Sci. 1995, 35, 864-870.
    • (1995) J. Chem. Inf. Comput. Sci. , vol.35 , pp. 864-870
    • Schultz, H.P.1    Schultz, E.B.2    Schultz, T.P.3
  • 11
    • 5344232773 scopus 로고    scopus 로고
    • Topological Organic Chemistry. 10. Graph Theory and Topological Indices of Conformational Isomers
    • Schultz, H. P.; Schultz, E. B.; Schultz, T. P., Topological Organic Chemistry. 10. Graph Theory and Topological Indices of Conformational Isomers. J. Chem. Inf. Comput. Sci. 1996, 36, 996-1000.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 996-1000
    • Schultz, H.P.1    Schultz, E.B.2    Schultz, T.P.3
  • 13
    • 0002093313 scopus 로고
    • Comparative Study of Molecular Descriptors Derived from the Distance Matrix
    • Mihalić, Z.; Nikolić, S.; Trinajstić, N. Comparative Study of Molecular Descriptors Derived from the Distance Matrix. J. Chem. Inf. Comput. Sci. 1992, 32, 28-37.
    • (1992) J. Chem. Inf. Comput. Sci. , vol.32 , pp. 28-37
    • Mihalić, Z.1    Nikolić, S.2    Trinajstić, N.3
  • 14
    • 0013512409 scopus 로고
    • Relation between the Wiener Index and the Schultz Index for Several Classes of Chemical Graphs
    • Plavśić, D.; Nikoli, S.; Trinajsti, N.; Klein, D. J. Relation between the Wiener Index and the Schultz Index for Several Classes of Chemical Graphs. Croat. Chem. Acta 1993, 66, 345-353.
    • (1993) Croat. Chem. Acta , vol.66 , pp. 345-353
    • Plavśić, D.1    Nikoli, S.2    Trinajsti, N.3    Klein, D.J.4
  • 15
    • 0028498920 scopus 로고
    • Selected Properties of the Schultz Molecular Topological Index
    • Gutman, I. Selected Properties of the Schultz Molecular Topological Index. J. Chem. Inf. Comput. Sci. 1994, 34, 1087-1089.
    • (1994) J. Chem. Inf. Comput. Sci. , vol.34 , pp. 1087-1089
    • Gutman, I.1
  • 17
    • 2842574923 scopus 로고    scopus 로고
    • A Schultz-Type Index Based on the Wiener Matrix
    • Diudea, M. V.; Pop, C. M. A Schultz-Type Index Based on the Wiener Matrix. Indian J. Chem. 1996, 35A, 257-261.
    • (1996) Indian J. Chem. , vol.35 A , pp. 257-261
    • Diudea, M.V.1    Pop, C.M.2
  • 18
    • 0041822789 scopus 로고    scopus 로고
    • A Comparison of the Schultz Molecular Topological Index with the Wiener Index
    • Klavžar, S.; Gutman, I. A Comparison of the Schultz Molecular Topological Index with the Wiener Index. J. Chem. Inf. Comput. Sci. 1996, 36, 1001-1003.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 1001-1003
    • Klavžar, S.1    Gutman, I.2
  • 19
    • 0031474434 scopus 로고    scopus 로고
    • Matrix Algebraic Manipulation of Molecular Graphs. 1. Distance and Vertex-Adjacency Matrices
    • Estrada, E.; Rodriguez, L.; Gutiérrez, A. Matrix Algebraic Manipulation of Molecular Graphs. 1. Distance and Vertex-Adjacency Matrices. Commun. Math. Comput. Chem. (MATCH) 1997, 35, 145-156.
    • (1997) Commun. Math. Comput. Chem. (MATCH) , vol.35 , pp. 145-156
    • Estrada, E.1    Rodriguez, L.2    Gutiérrez, A.3
  • 20
    • 0031443885 scopus 로고    scopus 로고
    • Matrix Algebraic Manipulation of Molecular Graphs. 2. Harary- and MTI-Like Molecular Descriptors
    • Estrada, E.; Rodriguez, L. Matrix Algebraic Manipulation of Molecular Graphs. 2. Harary- and MTI-Like Molecular Descriptors. Commun. Math. Comput. Chem. (MATCH) 1997, 35, 157-167.
    • (1997) Commun. Math. Comput. Chem. (MATCH) , vol.35 , pp. 157-167
    • Estrada, E.1    Rodriguez, L.2
  • 21
    • 0028499619 scopus 로고    scopus 로고
    • Degree Distance of a Graph: A Degree Analogue of the Wiener Index
    • Dobrynin, A. A.; Kochetova, A. A. Degree Distance of a Graph: A Degree Analogue of the Wiener Index. J. Chem. Inf. Comput. Sci. 1996, 36, 1082-1086.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 1082-1086
    • Dobrynin, A.A.1    Kochetova, A.A.2
  • 24
    • 0001219776 scopus 로고
    • Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated Hydrocarbons
    • Hosoya, H. Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated Hydrocarbons. Bull. Chem. Soc. Jpn. 1971, 44, 2332-2339.
    • (1971) Bull. Chem. Soc. Jpn. , vol.44 , pp. 2332-2339
    • Hosoya, H.1
  • 26
    • 0000864576 scopus 로고    scopus 로고
    • M: Wiener-Type Numbers of Higher Rank
    • M: Wiener-Type Numbers of Higher Rank. J. Chem. Inf. Comput. Sci. 1996, 36, 535-540.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 535-540
    • Diudea, M.V.1
  • 28
    • 85033180191 scopus 로고    scopus 로고
    • Indices of Reciprocal Property or Harary Indices
    • in press
    • Diudea, M. V. Indices of Reciprocal Property or Harary Indices. J. Chem. Inf. Comput. Sci., in press.
    • J. Chem. Inf. Comput. Sci.
    • Diudea, M.V.1
  • 29
    • 3743141377 scopus 로고    scopus 로고
    • Restricted Random Walk on a Graph as a Source of Novel Molecular Descriptors
    • in press
    • Randić, M. Restricted Random Walk on a Graph as a Source of Novel Molecular Descriptors. Theor. Chem. Acta, in press.
    • Theor. Chem. Acta
    • Randić, M.1
  • 30
    • 0004151494 scopus 로고
    • Cambridge University Press: Cambridge, U.K.
    • Horn, R. A.; Johnson, C. R. Matrix Analysis; Cambridge University Press: Cambridge, U.K., 1985.
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 31
    • 0001490557 scopus 로고    scopus 로고
    • Wiener and Hyper-Wiener Numbers in a Single Matrix
    • Diudea, M. V. Wiener and Hyper-Wiener Numbers in a Single Matrix. J. Chem. Inf. Comput. Sci. 1996, 36, 833-836.
    • (1996) J. Chem. Inf. Comput. Sci. , vol.36 , pp. 833-836
    • Diudea, M.V.1
  • 35
    • 0002345564 scopus 로고
    • A Formula for the Wiener Number of Trees and Its Extension to Graphs Containing Cycles
    • (a) Gutman, I. A Formula for the Wiener Number of Trees and Its Extension to Graphs Containing Cycles. Graph Theory Notes New York 1994, 27, 9-15.
    • (1994) Graph Theory Notes New York , vol.27 , pp. 9-15
    • Gutman, I.1
  • 36
    • 85033166882 scopus 로고    scopus 로고
    • Defining Cluj Matrices and Cluj Matrix Invariants
    • submitted for publication
    • (b) During the preparation of this manuscript, Professor Ivan Gutman has proposed some notations in the view of simplifying and clarifying mathematical relations (see also: Gutman, I.; Diudea, M. V. Defining Cluj Matrices and Cluj Matrix Invariants. Commun. Math. Comput. Chem. (MATCH), submitted for publication.
    • Commun. Math. Comput. Chem. (MATCH)
    • Gutman, I.1    Diudea, M.V.2
  • 37
    • 8644280181 scopus 로고
    • On Characterization of Molecular Branching
    • Randić, M. On Characterization of Molecular Branching. J. Am. Chem. Soc. 1975, 97, 6609-6615.
    • (1975) J. Am. Chem. Soc. , vol.97 , pp. 6609-6615
    • Randić, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.