Výsledky vyhledávání - "Paweł J. Skrzyński"

A Dual of the Cycle Theorem and its Application to Molecular Complexity

Autor: Edward C. Kirby, Paul Pollak, Roger B. Mallion, Paweł J. Skrzyński

Publikováno v: Croatica Chemica Acta
Volume 90
Issue 1

The duality alluded to in the title is that between the faces and vertices of a graph embedded on a surface. Its recognition in the context of the five Platonic solids is classic. Algebraically, it is present in the equation for Euler’s Polyhedron

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6bedb8370265c4ead3ce2166dd26323
https://doi.org/10.5562/cca3099

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Molecular Complexity of Certain Homologous Series of Condensed Benzenoid Hydrocarbons: Limiting Values of the Patency Index and the Index of Spanning-Tree Density

Autor: Paul Pollak, Roger B. Mallion, Paweł J. Skrzyński

Publikováno v: Croatica Chemica Acta
Volume 90
Issue 3

Two indices of molecular complexity, the Patency Index (2017) and the Spanning-Tree Density (2003), are applied to three homologous series of condensed benzenoid hydrocarbons. Calculation of the Spanning-Tree Density requires finding the number of sp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4487e99571448a02a4643f57b4c7047f
https://doi.org/10.5562/cca3212

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What Kirchhoff Actually did Concerning Spanning Trees in Electrical Networks and its Relationship to Modern Graph-Theoretical Work

Autor: Paul Pollak, Roger B. Mallion, Paweł J. Skrzyński, Edward C. Kirby

Publikováno v: Croatica Chemica Acta
Volume 89
Issue 4

What Kirchhoff actually did concerning spanning trees in the course of his classic paper in the 1847 Annalen der Physik und Chemie has, to some extent, long been shrouded in myth in the literature of Graph Theory and Mathematical Chemistry. In this r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc7c29f7f3c6bf8f082dc0405721f294
https://hrcak.srce.hr/file/255139

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