Browsing by Author "Anastassi, Z."
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Item Calculation of the minimal polynomial of 2cos(π/n) over Q with Maple(American Inst Physics, 2012) Simos, T. E.; Psihoyios, G.; Tsitouras, C.; Anastassi, Z.; Yurttaş, Aysun; Özgür, Birsen; Cangül, İsmail Naci; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0700-5774; 0000-0002-0700-5774; ABA-6206-2020; ABI-4127-2020; J-3505-2017; AAG-8470-2021; 37090056000; 54403501400; 57189022403The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number. Here we obtain the minimal polynomial of these numbers over the field of rationals by means of the better known Chebycheff polynomials and the Maple language.Item Deterrmining the minimal polynomial of cos(2π/n) over Q with Maple(Amer Inst Physics, 2012) Simos, T. E.; Psihoyios, G.; Tsitouras, C.; Anastassi, Z.; Özgür, Birsen; Yurttaş, Aysun; Cangül, İsmail Naci; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0700-5774; 0000-0002-0700-5774; AAG-8470-2021; J-3505-2017; ABA-6206-2020; ABI-4127-2020; 54403501400; 37090056000; 57189022403The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups, and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number and in some of these methods, the minimal polynomials of several algebraic numbers are used. Here we obtain the minimal polynomial of one of those numbers, cos(2 pi/n), over the field of rationals by means of the better known Chebycheff polynomials for odd q and give some of their properties. We calculated this minimal polynomial for n is an element of N by using the Maple language and classifying the numbers n is an element of N into different classes.Item Some formulae for the Zagreb indices of graphs(Amer Inst Physics, 2012) Çevik, Ahmet Sinan; Simos, T. E.; Psihoyios, G.; Tsitouras, C.; Anastassi, Z.; Cangül, İsmail Naci; Yurttaş, Aysun; Togan, Müge; Uludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0700-5774; 0000-0002-0700-5774; AAG-8470-2021; J-3505-2017; ABA-6206-2020; 57189022403; 37090056000; 54403978300In this study, we first find formulae for the first and second Zagreb indices and coindices of certain classical graph types including path, cycle, star and complete graphs. Secondly we give similar formulae for the first and second Zagreb coindices.