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Title:METODA ZA PREŠTEVANJE POTI MED VRHOVI IN DOLINAMI BENZENOIDNEGA GRAFA
Authors:ID Goger, Ines (Author)
ID Žigert, Petra (Mentor) More about this mentor... New window
Files:.pdf UNI_Goger_Ines_2009.pdf (7,85 MB)
MD5: 68DE79A3672BEA66D85A2849D3B8D247
PID: 20.500.12556/dkum/1b7192ee-b89f-4e5c-be5f-e177903b9f41
 
Language:Slovenian
Work type:Undergraduate thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Glavno področje diplomskega dela je metoda za preštevanje poti med vrhovi in dolinami benzenoidnega grafa. Predstavljena je uporaba teorije grafov v kemiji in povezava med kemijo in matematiko. V uvodnih poglavjih diplomskega dela so zato predstavljeni osnovni pojmi teorije grafov in kemijski pojmi, ki so potrebni za razumevanje nadaljnje snovi. V nadaljevanju so podane osnovne lastnosti in definicije benzenoidnih grafov. Priložena je programska koda metoda za preštevanje poti med vrhovi in dolinami v benzenoidnem grafu. Na koncu so za lažje razumevanje podani različni primeri z rešitvami.
Keywords:graf, vrh, dolina, benzenoidni sistem, benzenoidni graf, Kekulejeve strukture, 1-faktor
Place of publishing:Maribor
Publisher:[I. Goger]
Year of publishing:2009
PID:20.500.12556/DKUM-12028 New window
UDC:51(043.2)
COBISS.SI-ID:17244168 New window
NUK URN:URN:SI:UM:DK:QRXBMZG7
Publication date in DKUM:25.11.2009
Views:3171
Downloads:130
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:A METHOD FOR THE ENUMERATION OF PEAK-VALLEY PATHS IN A BENZENOID GRAPH
Abstract:The main field of this diploma work is a method for the enumeration of paths between the peaks and valleys of the benzenoid graph. The use of graph theory in chemistry is presented as well as the link between chemistry and mathematics. The basic concepts of graph theory and chemical concepts are presented in the opening chapters of the diploma work, which are necessary to understand the following concepts. Next, the basic characteristics and definitions of the benzenoid graphs are given, the program code method for the enumeration of the monotonic paths between peaks and valleys in the benzenoid graph is attached. In the end, for better understanding, different examples with solutions are given.
Keywords:graph, peak, valley, benzenoid system, benzenoid graph, Kekule structure, 1-factor


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