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Mathematical relation between extended connectivity and eigenvector coefficients.

Research output: Journal contributions › Journal articles › Research › peer-review

Standard

Mathematical relation between extended connectivity and eigenvector coefficients. / Rücker, Christoph; Rücker, Gerta.
In: Journal of Chemical Information and Computer Science, Vol. 34, No. 3, 01.05.1994, p. 534-538.

Research output: Journal contributions › Journal articles › Research › peer-review

Harvard

Rücker, C & Rücker, G 1994, 'Mathematical relation between extended connectivity and eigenvector coefficients.', Journal of Chemical Information and Computer Science, vol. 34, no. 3, pp. 534-538. https://doi.org/10.1021/ci00019a010

APA

Rücker, C., & Rücker, G. (1994). Mathematical relation between extended connectivity and eigenvector coefficients. Journal of Chemical Information and Computer Science, 34(3), 534-538. https://doi.org/10.1021/ci00019a010

Vancouver

Rücker C, Rücker G. Mathematical relation between extended connectivity and eigenvector coefficients. Journal of Chemical Information and Computer Science. 1994 May 1;34(3):534-538. doi: 10.1021/ci00019a010

Bibtex

@article{c2f0e19bbefa4be0b75f2b4a38a4b5e0,
title = "Mathematical relation between extended connectivity and eigenvector coefficients.",
abstract = "Formulas are derived for the limit distribution of weights of vertices in a graph as obtained from extended connectivities. A fundamental difference between bipartite and nonbipartite graphs is seen: For the latter the eventual distribution coincides with the one resulting from the coefficients in the principal eigenvector. For the former, in contrast, the last eigenvector also has to be taken into account, and there is no single limit distribution. This is the reason why in some bipartite graphs the ranks derived from extended connectivities switch indefinitely for certain atoms.",
keywords = "Chemistry",
author = "Christoph R{\"u}cker and Gerta R{\"u}cker",
note = "Print Edition ISSN: 1549-9596. Web Edition ISSN: 1549-960X Druckausg. 45.2004 -: Journal of chemical information and modeling",
year = "1994",
month = may,
day = "1",
doi = "10.1021/ci00019a010",
language = "English",
volume = "34",
pages = "534--538",
journal = "Journal of Chemical Information and Computer Science",
issn = "0095-2338",
publisher = "American Chemical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Mathematical relation between extended connectivity and eigenvector coefficients.

AU - Rücker, Christoph

AU - Rücker, Gerta

N1 - Print Edition ISSN: 1549-9596. Web Edition ISSN: 1549-960X Druckausg. 45.2004 -: Journal of chemical information and modeling

PY - 1994/5/1

Y1 - 1994/5/1

N2 - Formulas are derived for the limit distribution of weights of vertices in a graph as obtained from extended connectivities. A fundamental difference between bipartite and nonbipartite graphs is seen: For the latter the eventual distribution coincides with the one resulting from the coefficients in the principal eigenvector. For the former, in contrast, the last eigenvector also has to be taken into account, and there is no single limit distribution. This is the reason why in some bipartite graphs the ranks derived from extended connectivities switch indefinitely for certain atoms.

AB - Formulas are derived for the limit distribution of weights of vertices in a graph as obtained from extended connectivities. A fundamental difference between bipartite and nonbipartite graphs is seen: For the latter the eventual distribution coincides with the one resulting from the coefficients in the principal eigenvector. For the former, in contrast, the last eigenvector also has to be taken into account, and there is no single limit distribution. This is the reason why in some bipartite graphs the ranks derived from extended connectivities switch indefinitely for certain atoms.

KW - Chemistry

UR - http://www.scopus.com/inward/record.url?scp=0028428113&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0bef4650-a816-3582-8d5b-9404d998cb6f/

U2 - 10.1021/ci00019a010

DO - 10.1021/ci00019a010

M3 - Journal articles

VL - 34

SP - 534

EP - 538

JO - Journal of Chemical Information and Computer Science

JF - Journal of Chemical Information and Computer Science

SN - 0095-2338

IS - 3

ER -

Related by journal

Computer perception of constitutional (topological) symmetry: TOPSYM, a fast algorithm for partitioning atoms and pairwise relations among atoms into equivalence classes.

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Research output: Journal contributions › Journal articles › Research › peer-review

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Research output: Journal contributions › Journal articles › Research › peer-review

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Research output: Journal contributions › Journal articles › Research › peer-review

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Research output: Journal contributions › Journal articles › Research › peer-review

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Research output: Journal contributions › Journal articles › Research › peer-review

Other publications by the same author(s)

Are Si-C bonds cleaved by microorganisms? A critical review on biodegradation of methylsiloxanes

Rücker, C., Grabitz, E. & Kümmerer, K., 01.04.2023, In: Chemosphere. 321, 137858.

Research output: Journal contributions › Journal articles › Research › peer-review

Are Si–C bonds formed in the environment and/or in technical microbiological systems?

Rücker, C., Winkelmann, M. & Kümmerer, K., 08.2023, In: Environmental Science and Pollution Research. 30, 39, p. 91492-91500 9 p.

Research output: Journal contributions › Journal articles › Research › peer-review

REACH und QSAR: ein Leitfaden für kleine und mittlere Unternehmen

Rücker, C., Mahmoud, W. M. M., Kümmerer, K. & Zipperer, U. (Editor), 06.2015, Lüneburg: Leuphana Universität Lüneburg, 29 p.

Research output: Working paper › Project reports › Research

Comment on "nomenclature, Chemical Abstracts Service Numbers, Isomer Enumeration, Ring Strain, and Stereochemistry: What Does Any of This Have to Do with an International Chemical Disarmament and Nonproliferation Treaty?"

Rücker, C., Meringer, M. & Wassermann, A., 13.04.2021, In: Journal of Chemical Education. 98, 4, p. 1465-1467 3 p.

Research output: Journal contributions › Comments / Debate / Reports › Research

Octanol-Water Partition Coefficient Measurement by a Simple 1H NMR Method

Cumming, H. & Rücker, C., 30.09.2017, In: ACS Omega. 2, 9, p. 6244-6249 6 p.

Research output: Journal contributions › Journal articles › Research › peer-review

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