@article {1542, title = {An Exact Cutting Plane Algorithm to Solve the Selective Graph Coloring Problem in Perfect Graphs}, journal = {European Journal of Operational Research}, volume = {291(1)}, year = {2021}, pages = {67{\textendash}83}, doi = {https://doi.org/10.1016/j.ejor.2020.09.017}, author = {Oylum {\c S}eker and Ekim, Tinaz and Z C Ta{\c s}k{\i}n} } @article {1500, title = {Small 1-defective Ramsey numbers in perfect graphs}, journal = {Discrete Optimization}, volume = {34}, year = {2019}, pages = {100548}, abstract = {

In this paper, we initiate the study of defective Ramsey numbers for the class of perfect graphs. Let PG be the class of all perfect graphs and R1PG(i,j) denote the smallest n such that all perfect graphs on n vertices have either a 1-dense i-set or a 1-sparse j-set. We show that R1PG(3,j)=j for any j>=2, R1PG(4,4)=6, R1PG(4,5)=8, R1PG(4,6)=10, R1PG(4,7)=13, R1PG(4,8)=15 and R1PG(5,5)=13. We exhibit all extremal graphs for R1PG(4,7)=13 (there are exactly three). We also obtain the 1-defective Ramsey number of order (4,7) in triangle-free perfect graphs, namely R1ΔPG(4,7)=12.

}, keywords = {-dense, -dependent, -sparse, Extremal graphs}, issn = {1572-5286}, doi = {https://doi.org/10.1016/j.disopt.2019.06.001}, url = {https://www.sciencedirect.com/science/article/pii/S1572528618301622}, author = {Ekim, Tinaz and John Gimbel and Oylum {\c S}eker} } @conference {1185, title = {Linear-Time Generation of Random Chordal Graphs}, booktitle = {International Conference on Algorithms and Complexity}, year = {2017}, publisher = {Springer}, organization = {Springer}, author = {Oylum {\c S}eker and Pinar Heggernes and Ekim, Tinaz and Z. Caner Ta{\c s}k{\i}n} } @mastersthesis {seker_ms, title = {Modeling the Dynamics of Thyroid Hormones and Related Disorders}, year = {2011}, school = {Bo{\u g}azi{\c c}i University}, type = {MS}, author = {Oylum {\c S}eker} } @proceedings {seker, title = {Modeling the Dynamics of Thyroid Hormones and Related Disorders}, journal = {29th International Conference of the System Dynamics Society}, year = {2011}, author = {Oylum {\c S}eker and Yaman Barlas and Faruk Alag{\"o}l} } @conference {cseker2010controlling, title = {Controlling the Direction of a Model Helicopter}, booktitle = {The 28th International System Dynamics Conference, Seoul, Korea}, year = {2010}, publisher = {System Dynamics Society (http://www.systemdynamics.org/conferences/2010/index.htm)}, organization = {System Dynamics Society (http://www.systemdynamics.org/conferences/2010/index.htm)}, author = {Oylum {\c S}eker and Yasarcan, Hakan} }