How many organic compounds are graph-theoretically nonplanar?

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

Most graphs and most 4-graphs are nonplanar, whereas most compounds of
Organic Chemistry are gt-planar. This potentially useful fundamental difference between
graphs and compounds was empirically obtained by testing for gt-planarity representative
graphs and all compounds in the Beilstein file. The Beilstein search did uncover compounds
whose gt-nonplanarity was hitherto unknown. gt-Nonplanar peptides/proteins were retrieved
from the CAS Registry file.
Translated title of the contributionWie viele organische Verbindungen sind graphentheoretisch nichtplanar?
Original languageEnglish
JournalMATCH Communications in mathematical and in computer chemistry
Volume45
Issue number45
Pages (from-to)153-172
Number of pages20
Publication statusPublished - 03.2002
Externally publishedYes

Recently viewed

Publications

  1. Eulerian and Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection
  2. Deriving inferential statistics from recurrence plots
  3. Geometric series with randomly increasing exponents
  4. Simple measures and complex structures
  5. Developing ESD-specific professional action competence for teachers: knowledge, skills, and attitudes in implementing ESD at the school level
  6. Cognitive performance limitations in operating rooms
  7. Stabilisierung durch Implementieren, Sichern und Evaluieren
  8. Calibration of a simple method for determining ammonia loss in the field
  9. The use of a monolithic column to improve the simultaneous determination of caffeine, paracetamol, pseudoephedrine, aspirin, dextromethorphan, chlorpheniramine in pharmaceutical formulations by HPLC-A comparison with a conventional reversed-phase silica-based column
  10. Serendipity as a Mechanism of Change and its Potential for Explaining Change Processes
  11. Investigations on hot tearing of Mg-Al binary alloys by using a new quantitative method
  12. Digital Transformation and Institutional Work: A Paradox View
  13. The Crowd in Flux
  14. Representation of Integration Profiles Using an Ontology
  15. Analysing Positional Data
  16. RAWSim-O: A Simulation Framework for Robotic Mobile Fulfillment Systems
  17. Nonlinear analyses of self-paced reading
  18. Perception of Space and Time in a Created Environment
  19. Usage pattern-based exposure screening as a simple tool for the regional priority-setting in environmental risk assessment of veterinary antibiotics
  20. Diffusion of the Balanced Scorecard
  21. Implementation of formative assessment
  22. A Theory-Based Teaching Concept To Embed Sustainability In The Engineering Curriculum
  23. Import and export of ideas
  24. Horizontal, but not vertical canopy structure is related to stand functional diversity in a subtropical slope forest
  25. State-wide university implementation of an online platform for eating disorders screening and intervention.
  26. Effect of yttrium addition on lattice parameter, Young's modulus and vacancy of magnesium
  27. Studying embodied encounters
  28. Connected Text Reading and Differences in Text Reading Fluency in Adult Readers
  29. Anisotropic wavelet bases and restricted nonlinear approximation
  30. Determinants of mandatory goodwill disclosure
  31. From Enterprise Architecture to Business Ecosystem Architecture
  32. A new method for collecting agile tiger beetles by live pitfall trapping
  33. A Person-Centered Approach for Analyzing Multidimensional Integration in Collaboration Between Educational Researchers and Practitioners