Mathematical relation between extended connectivity and eigenvector coefficients.

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

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.

Original languageEnglish
JournalJournal of Chemical Information and Computer Science
Volume34
Issue number3
Pages (from-to)534-538
Number of pages5
ISSN0095-2338
DOIs
Publication statusPublished - 01.05.1994
Externally publishedYes

DOI

Recently viewed

Activities

  1. 4th CRITICS Workshop and Winter School on “Critical Transitions in Complex Systems: Mathematical theory and applications”
  2. 5th Critical Transitions in Complex Systems Workshop - CRITICS 2018
  3. The concept of a sustainable use of biocidal active substances – applied to rodenticides
  4. Assessing Key Competencies In Higher Education For Sustainable Devlopment: Insights From the Deployment Of Innovative Instruments
  5. „Making Characters. Lessing’s Dramaturgy of Imagination“.
  6. Correlation Patterns of PAHs and Heterocyclic PAHs in Sediment Samples from Northern Germany - Point Sources and Diffuse Immissions
  7. UV photodegradation of trimipramine under different environmental variables and chemical nature of aqueous solution - biodegradation and LC-MSn characterization of the formed transformation products
  8. The Increasing Importance of Economic Conditions on Fertility
  9. Multitudes Revues
  10. 6th Critical Transitions in Complex Systems Workshop - CRITICS 2019
  11. Valorization of hemp residues in fermentative lactic acid production
  12. In Defense of Cybernetics. A Reminiscence
  13. Leibniz Universität Hannover
  14. Tagung des Centers for Global Change and Governance an der Rutgers University
  15. Michel de Certeau as a Theorist of Hacking
  16. Preliminary results of the state of the art study on microbiological processes.
  17. Transdisciplinary Science Workshop at the Future Africa Campus - 2019
  18. Leibniz Universität Hannover
  19. Utilization of food waste
  20. Energy (Zeitschrift)
  21. Potential for line-mussel production in the Great Belt (Denmark)
  22. Summer School with Rosi Braidotti - 2013
  23. Towards a Criticism of Liberalism and Biopolitics: Foucault Rethinks Political Practices and Subjectivity
  24. Esskulturen in Kindertagesstätten
  25. University of Amsterdam
  26. Td Summer School 2013: Transdisciplinary Research at the Science
  27. Tackling micropollutant in the environment by Benign design - an important building block of sustainable chemistry and the protection of water resources
  28. Derivatization of amino acids to corresponding alpha-hydroxy acids and their analysis in fermentation broths
  29. AG MIDI/Audio-Recording 1996
  30. Learning Potentials and Learning Experiences within Volunteer Services in the Global South: [Posterbeitrag]
  31. 13. Berliner Methodentreffen 2017
  32. Leibniz Universität Hannover