Masatoshi Gündüz Ìkeda Research Award, Mathematics Foundation of Turkey, 2015.
Distinguished Young Scholar Award, Turkish Academy
of Sciences, 2009 (TÜBA - GEBIP Ödülü 2009).
"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.
T. Biyikoglu, J. Leydold, P. F. Stadler, Laplacian
Eigenvectors of Graphs - Perron-Frobenius and Faber-Krahn type
theorems; Lecture Notes in Mathematics 1915, Springer (2007).
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).
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).
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,
T. Biyikoglu, Degree sequences of Halin graphs and
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)
T. Biyikoglu, A Discrete Nodal Domain Theorem for
Linear Algebra and its Appl. 360 (2003) 197-205.
T. Biyikoglu, A counterexample to a conjecture of
Discrete Mathematics 250 (2002) 231-232.
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.
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