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Spectra and structural polynomials of graphs of relevance to the theory of molecular conductionFowler, Patrick W. ...V kemiji in fiziki je distortivnost ▫$\pi$▫-sistemov (stabilizacija vezi-alternirajocih struktur) pomembna pri računanju geometrijskih, energijskih in elektronskih lastnosti molekul s pomočjo metod ... teorije grafov. Uporabimo spektre poti in ciklov z alternirajočimi vozliščnimi in po vezavnimi utežmi, da dobimo lastne vrednosti in lastne vektorje za razred linearnih in cikličnih lestev z alternirajocimi povezavnimi utežmi. Izpeljemo karakteristične polinome in druge strukturne polinome, dobljene iz kofaktorjev karakteristične matrike za te grafe. Dobimo tudi spektre in strukturne polinome za lestve s preobrnjenimi utežmi in/ali Möbiusovo topologijo. V vseh primerih lahko strukturne polinome sestavljenih grafov izrazimo kot produkte polinomov grafov polovičnega reda. Ta oblika izrazov omogoča globalne izpeljave v zvezi s transmisijskimi spektri molekulskih naprav v okviru s teorijo grafov podprte teorije balistične molekulske prevodnosti.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 13, no. 2, 2017, str. 379-408)Type of material - article, component part ; adult, seriousPublish date - 2017Language - englishCOBISS.SI-ID - 18365273
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Fowler, Patrick W. | ![]() |
Pickup, Barry T. | ![]() |
Sciriha, Irene | ![]() |
Borg, Martha | ![]() |
Source: Personal bibliographies
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