Browsing by Author "Simos, T."
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Item New formulae for zagreb indices(Amer Inst Physics, 2017) Simos, T.; Tsitouras, C.; Çevik, Ahmet Sinan; Cangül, İsmail Naci; Yurttaş, Aysun; Togan, Müge; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0700-5774; ABA-6206-2020; J-3505-2017; AAG-8470-2021; 57189022403; 37090056000; 54403978300In this paper, we study with some graph descriptors also called topological indices. These descriptors are useful in determination of some properties of chemical structures and preferred to some earlier descriptors as they are more practical. Especially the first and second Zagreb indices together with the first and second multiplicative Zagreb indices are considered and they are calculated in terms of the smallest and largest vertex degrees and vertex number for some well-known classes of graphs.Item On the relation between addition of collinear points and collineations in PK2(Q(epsilon))(Amer Phyical Society, 2017) Simos, T.; Tsitouras, C.; Dayıoğlu, Abdurrahman; Çelik, Basri; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0001-7234-8063; 0000-0001-8441-6406; AAE-2600-2019; AAZ-8873-2021; E-7601-2013; 54402697300; 23026643900In this paper, we investigate some algebraic and geometric properties of the addition of points on [m, 1, p] and [1, n, p] in any PK-plane coordinated with the dual local ring of quaternions (PK2(Q(epsilon))). We define two collineations of PK2(Q(epsilon)) preserving the addition of points on the lines [m, 1, p] and [1, n, p].Item Some properties of the sum C-1(h, k)(Amer Phyical Soc, 2017) Simos, T.; Tsitouras, C.; Çetin, Elif; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; HVJ-0516-2023; 54402262100In [10], we have investigated properties of the sum C-1 (h, k). In this paper, we will give some other arithmetic properties of the sum C-1 (h, k). Moreover, in the light of the sum B-1 (h, k), which has also defined in [10], we will give specific values of the sum C1 (h, k) when h + k is an odd number. Finally, we will give a relation between the sum CI(h, k) and the Hardy-Berndt sum s 5(h, k) for a special case.