Türker Biyikoglu's Homepage

Türker Bıyıkoğlu

URL: http://turkerbiyikoglu.net

not snail contact: tbiyikoglu AT gmail DOT com

Research interests

Graph Theory and its Applications

Short vita

I got my diploma degree in 2000 under the supervision of Gerhard J Woeginger from the TU Graz (Austria) and my Ph.D. degree in 2003 under the supervisions of Peter F. Stadler and Josef Leydold from the University of Vienna (Austria). I was two years postdoctoral fellow at the Max Planck Institute for Mathematics in the Sciences in Leipzig (Germany) and one year postdoctoral fellow at the Department of Mathematical Engineering Universite Catholique de Louvain (Belgium). I was more than five years at the Department of Mathematics of Isik University, Istanbul and two years at the Department of Mathematics Izmir Institute of Technology, Izmir (Turkey).

Awards

Masatoshi Gündüz Ìkeda Research Award, Mathematics Foundation of Turkey, 2015.
Distinguished Young Scholar Award, Turkish Academy of Sciences, 2009 (TÜBA - GEBIP Ödülü 2009).

Research Projects

"Geometric representations and symmetries of graphs, maps and other discrete structures and applications in science" (GReGAS) supported by The Scientific and Technological Research Council of Turkey (TÜBITAK) and the European Science Foundation (EUROCORES Programme EUROGIGA), 2011-2015. For more information please see our GReGAS page.
Coworker: Lale Özkahya was a postdoctoral fellow in the GreGAS project.
"Castelnuovo-Mumford Regularity of Graphs and Topology of Decycling Complexes" supported by TÜBITAK, 2012-2014.
This is a joint project with Yusuf Civan.
"Bionetalign: Global Alignment of Biochemical Networks Regularity for Functional Orthology Detections" supported by TÜBITAK, 2012-2014.
This is a joint project with Cesim Erten.

Publications

Book

Laplacian Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn type theorems

info

Journals

T. Biyikoglu and Y. Civan, Prime graphs, matchings and the Castelnuovo Mumford Regularity, to appear in J Commutative Algebra (2016).
T. Biyikoglu and Y. Civan, Projective Dimension of (Hyper)graphs and the Castelnuovo Mumford Regularity of Bipartite Graphs, submitted (2016). [pdf]
T. Biyikoglu and Y. Civan, Castelnuovo-Mumford Regularity of Graphs, submitted (2015). [pdf]
F. Alkan, T. Biyikoglu, M. Demange and C. Erten, Constrained Alignments of a Pair of Graphs, submitted (2014). [pdf]
T. Biyikoglu and Y. Civan, Vertex Decomposable Graphs, Codismantlability, Cohen-Macaulayness and Castelnuovo-Mumford Regularity, Electronic Journal of Combinatorics, 21: #P1.1 (2014). [pdf]
G. Abaka, T. Biyikoglu and C. Erten, CAMPways: constrained alignment framework for the comparative analysis of a pair of metabolic pathways, Bioinformatics, 29:145-153 (2013). [pdf].
T. Biyikoglu and J. Leydold, Dendrimers are the unique chemical trees with maximum spectral radius, MATCH Communications in Mathematical and in Computer Chemistry, 68:851-854 (2012). [pdf]
T. Biyikoglu and J. Leydold, Graphs of given order and size and minimum algebraic connectivity, Linear Algebra and its Applications, 436:2067-2077 (2012).
T. Biyikoglu and Y. Civan, Four-cycled graphs with topological applications, Annals of Combinatorics, 16:37-56 (2012).
T. Biyikoglu, S. Simic, Z. Stanic, Some Notes on Spectra of Cographs, Ars Combinatoria, 100:421-434 (2011).
E. Solak, C. Cokal, O.T. Yildiz, T. Biyikoglu, Cryptanalysis of Fridrich's image encryption, International Journal of Bifurcation and Chaos, 20:1405-1413 (2010).
T. Biyikoglu and J. Leydold, Semiregular trees with minimal Laplacian spectral radius, Linear Algebra and its Applications, 432:2335-2341 (2010).
T. Biyikoglu, M. Hellmuth, and J Leydold, Largest Eigenvalues of the Discrete p-Laplacian of Trees with Degree Sequences, Electronic Journal of Linear Algebra. 18 (2009) 202-210. [abstract,pdf].
A. Mosig, T. Biyikoglu, S.J. Prohaska, and P.F. Stadler, Discovering Cis-Regulatory Modules by optimizing Barbecues, Discrete Applied Mathematics, 157: 2458-2468 (2009).
T. Biyikoglu and J. Leydold, Algebraic Connectivity and Degree Sequences of Trees, Linear Algebra and its Applications, 430: 811-817 (2009). [abstract,ps,pdf]
T. Biyikoglu and J. Leydold, Graphs with given degree sequence and maximal spectral radius, Electronic Journal of Combinatorics, 15 #R119 (2008). [pdf]
T. Biyikoglu and J. Leydold, Faber-Krahn Type Inequalities for Trees, Journal of Combinatorial Theory, Series B 97 (2): 159-174; 2007. [abstract,ps,pdf]
F. M. Atay, T. Biyikoglu and J. Jost, Network synchronization: Spectral versus statistical properties, Physica D, 224 (1-2): 35-41 2006. [abstract,ps,pdf]
F. M. Atay, T. Biyikoglu and J. Jost, Synchronization of networks with prescribed degree distributions, IEEE Transactions on Circuits and Systems I, 53 (2006) 92-98. [abstract,ps,pdf]
T. Biyikoglu, J. Leydold and P.F. Stadler, Nodal Domain Theorems and Bipartite Subgraphs, Electronic Journal of Linear Algebra. 13 (2005) 344-351. [abstract,ps,pdf]
F. M. Atay and T. Biyikoglu, Graph Operations and Synchronization of Complex Networks, Physical Review E, 72:016217, 2005.
T. Biyikoglu, Degree sequences of Halin graphs and forcibly cograph-graphic sequences, Ars Combinatoria, 75 (2005) 205-210.
T. Biyikoglu, W. Hordijk, J. Leydold, T. Pisanski, and P. F. Stadler, Graph Laplacians, Nodal Domain, and Hyperplane Arrangements, Linear Algebra and its Appl. 390 (2004) 155-174.
T. Biyikoglu, A Discrete Nodal Domain Theorem for Trees, Linear Algebra and its Appl. 360 (2003) 197-205.
T. Biyikoglu, A counterexample to a conjecture of Erdös, Discrete Mathematics 250 (2002) 231-232.

Conference

S. Baksi, O. Kaya and T. Biyikoglu, Enabling Cooperation, Resource Allocation and Receiver Selection Across Cells: Complementary Fractional Frequency Reuse. IEEE PIMRC 2013, London, UK, Sept. 2013.
S. Baksi, O. Kaya, T. Biyikoglu, Optimal and Near-optimal Partner Selection Algorithms in Cooperative OFDMA, IEEE Wireless Communications and Networking Conference (WCNC 2012), Paris, France, April 2012.

Preprints

T. Biyikoglu and Y. Civan, A note on the recognition of codismantlable graphs and posets, Preprint (2016). [pdf]
T. Biyikoglu and Y. Civan, Bounding Castelnuovo-Mumford Regularity of Graphs via Lozin's Transformation, Preprint (2013). [pdf]
T. Biyikoglu, M. Hellmuth, J Leydold, Largest Laplacian Eigenvalue and Degree Sequences of Trees, Preprint (2007). [pdf]
T. Biyikoglu; Rank and number of nodal domains of cographs; Preprint (2002). [ps]

Seminars and Workhops Organization

Workshop on Graph Theory and its Applications III, Istanbul Center for Mathematical Sciences. October 11-12, 2012, Istanbul (co-organizer with Tinaz Ekim ).
Workshop on Graph Theory and its Applications II, Bogazici University . October 20-21, 2011, Istanbul/Turkey (co-organizer with Tinaz Ekim ).
Workshop on Graph Theory and its Applications I, Feza Gursey Institute . October 15-17, 2010, Istanbul/Turkey (co-organizer with Tinaz Ekim ).
Monthly seminars of Istanbul Discrete Mathematics Meetings at Istanbul Center for Mathematical Sciences (IMBM) (2009-2012) (co-organizer with Tinaz Ekim ).