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Volumn 43, Issue 4, 2003, Pages 1115-1120

Walking backward: Walk counts of negative order

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; VECTORS;

EID: 18344400043     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci0304019     Document Type: Article
Times cited : (4)

References (17)
  • 1
    • 0027658970 scopus 로고
    • Counts of all walks as atomic and molecular descriptors
    • Rücker, G.; Rücker, C. Counts of All Walks as Atomic and Molecular Descriptors. J. Chem. Inf. Comput. Sci. 1993, 33, 683-695.
    • (1993) J. Chem. Inf. Comput. Sci. , vol.33 , pp. 683-695
    • Rücker, G.1    Rücker, C.2
  • 2
    • 0041037845 scopus 로고    scopus 로고
    • On topological indices, boiling points, and cycloalkanes
    • Rücker, G.; Rücker, C. On Topological Indices, Boiling Points, and Cycloalkanes. J. Chem. Inf. Comput. Sci. 1999, 39, 788-802.
    • (1999) J. Chem. Inf. Comput. Sci. , vol.39 , pp. 788-802
    • Rücker, G.1    Rücker, C.2
  • 3
    • 0002525670 scopus 로고    scopus 로고
    • Walk counts, labyrinthicity, and complexity of acyclic and cyclic graphs and molecules
    • Rücker, G.; Rücker, C. Walk Counts, Labyrinthicity, and Complexity of Acyclic and Cyclic Graphs and Molecules. J. Chem. Inf. Comput. Sci. 2000, 40, 99-106.
    • (2000) J. Chem. Inf. Comput. Sci. , vol.40 , pp. 99-106
    • Rücker, G.1    Rücker, C.2
  • 4
    • 0035526172 scopus 로고    scopus 로고
    • Substructure, subgraph, and walk counts as measures of the complexity of graphs and molecules
    • Rücker, G.; Rücker C. Substructure, Subgraph, and Walk Counts as Measures of the Complexity of Graphs and Molecules. J. Chem. Inf. Comput. Sci. 2001, 41, 1457-1462.
    • (2001) J. Chem. Inf. Comput. Sci. , vol.41 , pp. 1457-1462
    • Rücker, G.1    Rücker, C.2
  • 6
    • 0003780715 scopus 로고
    • Addison-Wesley: Reading, MA
    • Harary, F. Graph Theory; Addison-Wesley: Reading, MA, 1969.
    • (1969) Graph Theory
    • Harary, F.1
  • 9
    • 84972506692 scopus 로고
    • The spectral approach to determining the number of walks in a graph
    • Harary, F.; Schwenk, A. J. The Spectral Approach to Determining the Number of Walks in a Graph. Pac. J. Math. 1979, 80, 443-449.
    • (1979) Pac. J. Math. , vol.80 , pp. 443-449
    • Harary, F.1    Schwenk, A.J.2
  • 10
    • 0028428113 scopus 로고
    • Mathematical relation between extended connectivity and eigenvector coefficients
    • Rücker, C.; Rücker, G. Mathematical Relation between Extended Connectivity and Eigenvector Coefficients. J. Chem. Inf. Comput. Sci. 1994, 34, 534-538.
    • (1994) J. Chem. Inf. Comput. Sci. , vol.34 , pp. 534-538
    • Rücker, C.1    Rücker, G.2
  • 12
    • 0036347081 scopus 로고    scopus 로고
    • On kites, comets, and stars. Sums of eigenvector coefficients in (molecular) graphs
    • Rücker, G.; Rücker, C.; Gutman, I. On Kites, Comets, and Stars. Sums of Eigenvector Coefficients in (Molecular) Graphs. Z Naturforsch. A 2002, 57a, 143-153.
    • (2002) Z Naturforsch. A , vol.57 A , pp. 143-153
    • Rücker, G.1    Rücker, C.2    Gutman, I.3
  • 13
    • 0042200772 scopus 로고    scopus 로고
    • note
    • 2 over the indices i belonging to the same eigenspace is uniquely determined, see ref 10.
  • 14
    • 0041700250 scopus 로고    scopus 로고
    • note
    • 1).
  • 15
    • 0043203080 scopus 로고    scopus 로고
    • note
    • This is also true in the case of degenerate eigenvalues, as can be shown.
  • 16
    • 0041700251 scopus 로고    scopus 로고
    • note
    • 0 is the smallest absolute value of a nonnull element of M.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.