ZiF Cooperation Group

Discrete and Continuous Models in the Theory of Networks

October 2012 - September 2017

Convenors: Delio Mugnolo (Hagen, GER), Fatihcan M. Atay (Ankara, TUR) und Pavel Kurasov (Stockholm, SWE)

In press
  • D Mugnolo, Dynamical systems associated with adjacency matrices, Discr. Cont. Dyn. Syst (in press)

  • W Lu, FM Atay, Stability of phase difference trajectories of networks of Kuramoto oscillators with time-varying couplings and intrinsic frequencies. SIAM J. Appl. Dynamical Systems (in press)

preprint
  • J Boman, P Kurasov, and R Suhr, Schrödinger Operators on Graphs and Geometry II. Integrable Potentials and an Ambartsumian Theorem (preprint)

  • P Kurasov and A Serio, On the sharpness of spectral estimate for graph Laplacians (preprint)

  • P Kurasov and R Suhr, Schrödinger operators on graphs and geometry III. Non-standard conditions and a geometric version of the Ambartsumian theorem (preprint)

  • P Kurasov and S Naboko, Surgery of graphs and spectral gap: Titchmarsh-Weyl operator-function approach (preprint)

2017
  • P Kurasov, B Majidzadeh Garjani, Quantum graphs: PT-symmetry and reflection symmetry of the spectrum, J. Math. Physics, 2017

  • G Berkolaiko, JB Kennedy, P Kurasov, D Mugnolo, Edge connectivity and the spectral gap of combinatorial and quantum graphs, J. Phys. A, 2017

  • P Kurasov, Surgery of graphs: M-function and spectral gap, Acta Physica Polonica A, 2017

2016
  • JB Kennedy, P Kurasov, G Malenová, D Mugnolo, On the spectral gap of a quantum graph, Ann. H. Poincaré, 2016

  • W Lu, FM Atay, Local pinning of networks of multi-agent systems with transmission and pinning delays, IEEE Transactions on Automatic Control, 2016

  • G Karreskog, P Kurasov, I Trygg Kupersmidt, Schrödinger operators on graphs: symmetrization and Eulerian cycles, Proc. AMS, 2016

  • FM Atay, D Irofti, A delayed consensus algorithm in networks of anticipatory agents, European Control Conference (ECC), 2016

  • FM Atay, B Hua, On the symmetry of the Laplacian spectra of signed graphs, Linear Alg. Appl., 2016

  • D Irofti, FM Atay, On the delay margin for consensus in directed networks of anticipatory agents. IFAC-PapersOnLine 2016

  • P Kurasov and R Ogik, On Equi-transmitting Matrices, Reports on Math. Phys., 2016

2015
  • B Hua, D Mugnolo, Time regularity and long-time behavior of parabolic p-Laplace equations on infinite graphs, J. Diff. Eq., 2015

  • D Mugnolo Mathematical Technology of Networks, Cham: Springer International Publishing, 2015

  • JC Kiik, P Kurasov, M Usman, On vertex conditions for elastic systems, Phys. Lett. A, 2015

  • M Astudillo, P Kurasov, and M Usman, RT-Symmetric Laplace Operators on Star Graphs: Real Spectrum and Self-Adjointness, Adv. Mathematical Physics, 2015

  • P Kurasov, A Serio, Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions, Nanosystems: Phys., Chem., Math., 2015

  • P Kurasov, Spectral gap for complete graphs: upper and lower estimates, in: D Mugnolo (Ed.) Mathematical technology of networks, Springer, 2015.

2014
  • D Mugnolo, Laplacians on quantum hypergraphs, PAMM, 2014

  • FM Atay, H. Tuncel, On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication. Linear Algebra and its Applications 442:165?177, 2014

  • P Kurasov, R Ogik and A Rauf, On reflectionless equi-transmitting matrices, Opuscula Math., 2014

  • P Kurasov, S Naboko, Rayleigh estimates for differential operators on graphs, J. Spectral Theory, 2014

2013
  • P Kurasov, G Malenová, S Naboko, Spectral gap for quantum graphs and their edge connectivity, 2013

  • P Kurasov, Inverse scattering for lasso graph. J. Math. Phys., 2013

  • P Kurasov, On the Spectral Gap for Laplacians on Metric Graphs, Acta Physica Polonica A, 2013

2012
  • P Kurasov, Inverse problems for quantum graphs: recent developments and perspectives. Acta Physica Polonica A, 2012