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Mehmet Serhat Mangan,Serap Yurttaser Ocak,Ece Turan Vural,Elvin Yildiz 대한안과학회 2021 Korean Journal of Ophthalmology Vol.35 No.1
Purpose: To examine the efficacy of ptosis correction with a Müller muscle-conjunctival resection with or without tarsectomy(MMCR±T), combined with bandage contact lens (BCL) use, in corneal graft patients. Methods: Seven patients with corneal grafts who underwent MMCR±T for treatment of ptosis were evaluated retrospectively. A BCL was applied to the grafts at the end of the surgery. The collected data included preoperative and postoperativevisual acuity, marginal reflex distance 1 (MRD-1), presence of Hering’s dependency by the phenylephrine test, symmetry outcomes,and complications after MMCR±T. Results: The average duration between the penetrating keratoplasty and MMCR±T was 14 months, with a follow-up timeof 10.4 months after MMCR±T. Hering’s dependency was observed in four (57.2%) patients before MMCR±T, and MRD-1 wasincreased in all patients based on preoperative phenylephrine tests. The mean preoperative MRD-1 was -0.14 ± 0.55 mm, andthe mean postoperative MRD-1 was 2.35 ± 0.89 mm (p < 0.0001). Symmetry outcomes of perfect (<0.5 mm), good (0.5–1mm), and fair (≥1 mm) were noted after MMCR±T in three, three, and one patients, respectively. During the follow-up, no obviouscorneal epitheliopathy, keratitis, or corneal graft rejection/failure were noted in any cases. BCL use was well toleratedby all patients. Conclusions: Most patients achieved good surgical outcomes with the application of the BCL to protect the graft and withthe use of the phenylephrine test and Hering’s dependency to predict the final eyelid position and symmetry. MMCR±T combinedwith BCL may therefore represent an alternative approach for correction of ptosis in patients with corneal graft.
Zagreb indices of graphs with added edges
Aysun YURTTAS,Muge TOGAN,Naci CANGUL 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Edge deletion and addition to a graph is an important combinatorial method in Graph Theory which enables one to calculate some properties of a graph by means of similar graphs. In this paper, as a sequel to a recent paper on edge deletion, we consider the change in the first and second Zagreb indices of a simple graph G when an arbitrary edge is added. This can be used to calculate the first and second Zagreb indices of larger graphs in terms of the Zagreb indices of smaller graphs. As some examples, some inequalities for the change of Zagreb indices for path, cycle, star, complete, complete bipartite and tadpole graphs are given.
RELATIONS BETWEEN THE FIRST AND SECOND ZAGREB INDICES OF SUBDIVISION GRAPHS
Aysun YURTTAS,Muge TOGAN,Ismail Naci CANGUL 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.3
The first and second Zagreb indices of a graph are two of the topological invariants used in molecular calculations by Mathematicians and Chemists. First Zagreb index and multiplicative Zagreb indices, all versions of Zagreb indices of subdivision graphs, Zagreb indices of the line graphs of the subdivision graphs, Zagreb indices of subdivision graphs of double graphs, multiplicative Zagreb indices of graph operations were cal- culated and as a generalisation, the authors determined the multiplicative Zagreb indices of the r-subdivision of double graphs. In this paper, we ob- tain numerous new relations between the first and second Zagreb indices of the subdivision graphs of certain graph types.
Zagreb indices and multiplicative Zagreb indices of subdivision graphs of double graphs
Aysun YURTTAS,Muge TOGAN,Ismail Naci CANGUL 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.3
Let G be a null, path, cycle, star, complete or a tadpole graph. In this paper, the rst and second Zagreb and multiplicative Zagreb indices of subgraphs of the double graphs of G are obtained.
Duran, Berrin,Yurttas, Leyla,Duran, Murat The Korean Electrochemical Society 2021 Journal of electrochemical science and technology Vol.12 No.3
Two arylamino substituted mercaptoimidazole derivatives namely 4,5-dimethyl-1-(phenylamino)-1H-imidazole-2(3H)-thione (I1) and 4,5- dimethyl-1-((p-chlorophenyl)amino)- 1H-imidazole-2(3H)-thione (I2) were synthesized and investigated as corrosion inhibitors for carbon steel in 0.5 M HCl solution by means of electrochemical impedance spectroscopy (EIS), potentiodynamic polarization, ATR-FTIR spectroscopy and SEM. The results showed that the investigated mercaptoimidazole derivatives act as mixed type inhibitors and inhibition efficiency follows the I2>I1 order. Adsorption of inhibitors on metal surface was found to obey the Langmuir adsorption isotherm. Thermodynamic parameters revealed that adsorption of the inhibitors has both physisorption and chemisorption adsorption mechanism. Electrochemical test results were supported by quantum chemical parameters obtained from DFT calculations.
Inverse problem for the first entire Zagreb index
Muge TOGAN,Aysun YURTTAS,Ismail Naci CANGUL 장전수학회 2019 Advanced Studies in Contemporary Mathematics Vol.29 No.2
The inverse problem for topological graph indices is about the exis- tence of a graph having its index value equal to a given non-negative integer. In this paper, we study the problem for the rst entire Zagreb index. We will rst show that the rst entire Zagreb index must be even for any graph G, and can take all positive even integer values except 4; 6; 10; 12; 14; 18; 20; 22; 26; 28; 30; 36; 38 and 46.
All versions of Zagreb indices and coindices of subdivision graphs of certain graph types
Muge TOGAN,Aysun YURTTAS,Ismail Naci CANGUL 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.1
In this paper, we nd formulae for ten mostly used types of Zagreb indices for the subdivision graphs of some well-known classes of graphs.
U¨mide Demir O¨ zkay,Leyla Yurttas¸,Yusuf O¨ zkay,Umut I˙ rfan U¨ c¸el,O¨ zgu¨r Devrim Can,Yusuf Ozturk 대한약학회 2013 Archives of Pharmacal Research Vol.36 No.7
In this study, we synthesized eight novel1-phenyl-2-(4-substituted-piperazin-1-yl)-propanol derivativesand evaluated their antidepressant-like activities. Thechemical structures of the synthesised compounds wereelucidated by spectroscopy and elemental analyses. Potential antidepressant-like effects of the test compounds(20 mg kg-1) were investigated using the tail-suspensiontest and modified forced swimming test (MFST) in mice. Additionally, the spontaneous locomotor activity of themice was assessed using the activity cage apparatus. Boththe reference drug fluoxetine (20 mg kg-1) and the testcompounds 3a–3e and 3g significantly shortened theimmobility time of the mice in both the behavioural tests. These test compounds also increased the swimming time inMFST without any change in the climbing duration. Compounds 3c–3e and 3g were significantly more potent ininducing these effects than 3a and 3b. None of the compoundschanged the locomotor activities of the animals,thus antidepressant-like effects of test compounds werespecific. The findings support those of previous studies thatreported antidepressant-like activities of aryl alkanolpiperazine derivatives.
On the first Zagreb index and multiplicative Zagreb coindices of graphs
Das, Kinkar Ch.,Akgunes, Nihat,Togan, Muge,Yurttas, Aysun,Cangul, I. Naci,Cevik, A. Sinan De Gruyter Open 2016 Analele Stiintifice ale Universitatii Ovidius Cons Vol.24 No.1
<P>For a (molecular) graph G with vertex set V (G) and edge set E(G), the first Zagreb index of G is defined as M-1(G) = Sigma v(i is an element of V(G))d(C)(v(i))(2), where d(G) (v(i)) is the degree of vertex v(i), in G. Recently Xu et al. introduced two graphical invariants (Pi) over bar (1) (G) = Pi v(i)v(j is an element of E(G)) (dG (v(i))+dG (v(j))) and (Pi) over bar (2)(G) = Pi(vivj is an element of E(G)) (dG (v(i))+dG (v(j))) named as first multiplicative Zagreb coindex and second multiplicative Zagreb coindex, respectively. The Narumi-Katayama index of a graph G, denoted by NK(G), is equal to the product of the degrees of the vertices of G, that is, NK(G) = Pi(n)(i=1) d(G) (v(i)). The irregularity index t(G) of G is defined as the num=1 ber of distinct terms in the degree sequence of G. In this paper, we give some lower and upper bounds on the first Zagreb index M-1(G) of graphs and trees in terms of number of vertices, irregularity index, maximum degree, and characterize the extremal graphs. Moreover, we obtain some lower and upper bounds on the (first and second) multiplicative Zagreb coindices of graphs and characterize the extremal graphs. Finally, we present some relations between first Zagreb index and NarumiKatayama index, and (first and second) multiplicative Zagreb index and coindices of graphs.</P>
Distance Eccentric Connectivity Index of Graphs
Akram Alqesmah,Anwar Saleh,R. Rangarajan,Aysun Yurttas Gunes,Ismail Naci CANGUL 경북대학교 자연과학대학 수학과 2021 Kyungpook mathematical journal Vol.61 No.1
Let G = (V, E) be a connected graph. The eccentric connectivity index of G is defined by ξC (G) = ∑u∈V (G) deg(u)e(u), where deg(u) and e(u) denote the degree and eccentricity of the vertex u in G, respectively. In this paper, we introduce a new formulation of ξC that will be called the distance eccentric connectivity index of G and defined by ξDe(G) = ∑u∈V (G) degDe(u)e(u) where degDe(u) denotes the distance eccentricity degree of the vertex u in G. The aim of this paper is to introduce and study this new topological index. The values of the eccentric connectivity index is calculated for some fundamental graph classes and also for some graph operations. Some inequalities giving upper and lower bounds for this index are obtained.