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ÖZEN ERDOĞAN, FATMA

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ÖZEN ERDOĞAN

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2015 - 20203
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    Publication
    Independence number of graphs and line graphs of trees by means of omega invariant
    (Springer, 2020-02-26) Srivastava, Gautam; Srivastava, Hari Mohan; Ozden, Hacer; ÖZDEN AYNA, HACER; Zihni, Fikriye Ersoy; Erdogan, Fatma Ozen; ÖZEN ERDOĞAN, FATMA; Cangul, Ismail Naci; CANGÜL, İSMAİL NACİ; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0700-5774; 0000-0002-3991-0488; AAH-5090-2021; ABA-6206-2020; J-3505-2017; AAG-8274-2021
    A recently defined graph invariant denoted by O(G) for a graph G is shown to have several applications in graph theory. This number gives direct information on the realizability, number of realizations, connectedness, cyclicness, number of components, chords, loops, pendant edges, faces, bridges, etc. In this paper, we use O to give a characterization of connected unicyclic graphs, to calculate the omega invariant and to formalize the number of faces of the line graph of a tree, and give a new algorithm to formalize the independence number of graphs G and line graphs L(G) by means of the support vertices, pendant vertices and isolated vertices in G.
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    Publication
    On projective coordinate spaces
    (Amer Inst Physics, 2015-01-01) Çiftçi, Süleyman; Erdoğan, Fatma Özen; Ashyralyev, A; Malkowsky, E; Lukashov, A; Başar, F; Çiftçi, Süleyman; ÖZEN ERDOĞAN, FATMA; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; Ashyralyev, A; Malkowsky, E; Lukashov, A; Basar, F; AAG-8274-2021; ESO-9355-2022
    In the present study, an (n + 1) clime nsion al module over the local ring K = M (mm)(R) is constructed. Further, an n dimensional projective coordinate space over this module is constructed by the help of equivalence classes. The points and lines of this space are determined and the points are classified. Finally, for a 3 dimensional projective coordinate space, the incidence matrix for a line that goes through the given points and also all points of a line given with the incidence matrix are found by the use of Maple commands.
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    Publication
    Projective coordinate spaces over modules
    (Hacettepe Universitesi, 2019-01-01) Erdoğan, Fatma Özen; ÖZEN ERDOĞAN, FATMA; Akpınar, Atilla; AKPINAR, ATİLLA; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-7612-2448; ABB-9790-2020; AAG-8274-2021
    In this paper, we investigate some properties of the (right) modules constructed over the local ring and also construct a projective coordinate space over the (right) module. Finally, in a 3-dimensional projective coordinate space, the incidence matrix for a line that combines the certain two points and also all points of a line given with the incidence matrix are found by the help of Maple programme.