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M-polinom : magistrsko delo
ID Brezec, Sara (Author), ID Klavžar, Sandi (Mentor) More about this mentor... This link opens in a new window

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Abstract
V delu predstavimo M-polinom. To je polinom, s pomočjo katerega enostavno določimo mnoge topološke indekse stopenj vozlišč. Najprej spoznamo topološke indekse, nato definiramo M-polinom in si ogledamo postopek izračuna le-tega ter nekaterih topoloških indeksov stopenj vozlišč. Prvi del zaključimo z dodatnimi primeri izračunov. Drugi del magistrske naloge predstavi spletno stran M-polinomov. Stran omogoča brskanje po bazi M-polinomov. Če smo vpisani uporabnik, pa lahko tudi komentiramo in dodajamo nove M-polinome. V delu so opisani razdelki spletne strani. Nato sledi nekaj besed o uporabljenih orodjih za izdelavo ter podrobna razlaga izdelave strani.

Language:Slovenian
Keywords:topološki indeks stopenj vozlišč, M-polinom, polinom grafa, zagrebški indeks, Randićev indeks, spletna stran, Elasticsearch, Django
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FMF - Faculty of Mathematics and Physics
Year:2021
PID:20.500.12556/RUL-128988 This link opens in a new window
COBISS.SI-ID:73480963 This link opens in a new window
Publication date in RUL:21.08.2021
Views:1236
Downloads:77
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Secondary language

Language:English
Title:M-polynomial
Abstract:
In this work, we present M-polynomial, the polynomial which simplifies the calculation of many degree-based topological indices. First, we introduce the topological indices, then we define the M-polynomial and familiarise ourselves with the procedure of its calculation and the calculation of the degree-based topological indices. We conclude the first part with additional calculation examples. In the second part, the M-polynomials website is presented. The site empowers search through the M-polynomials database. Logged users can also comment and contribute new M-polynomials. The work describes the website sections. This is followed by a few words about the tools used to develop the website and a detailed explanation of how the site is built.

Keywords:degree-based topological index, M-polynomial, graph polynomial, Zagreb index, Randić index, website, Elasticsearch, Django

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