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- Mikhail Isaev
- Electr. J. Comb.
- 2011

We determine the asymptotic behaviour of the number of Eulerian circuits in undirected simple graphs with large algebraic connectivity (the second-smallest eigenvalue of the Laplacian matrix). We also prove some new properties of the Laplacian matrix.

- Mikhail Isaev, K. V. Isaeva
- ArXiv
- 2012

- Mikhail Isaev, M. I. Isaev
- 2010

- Catherine S. Greenhill, Mikhail Isaev, Matthew Kwan, Brendan D. McKay
- Eur. J. Comb.
- 2017

- Mikhail Isaev, K. V Isaeva
- 2012

We study three mixing properties of a graph: large algebraic connec-tivity, large Cheeger constant (isoperimetric number) and large spectral gap from 1 for the second largest eigenvalue of the transition probability matrix of the random walk on the graph. We prove equivalence of this properties (in some sense). We give estimates for the probability for a… (More)

- W A Cooper, J P Graves, S Brunner1and, M Yu Isaev
- 2011

A Hamiltonian/Lagrangian theory to describe guiding centre orbit drift motion which is canonical in the Boozer coordinate frame has been extended to include full electromagnetic perturbed fields in anisotropic pressure 3D equilibria with nested magnetic flux surfaces. A redefinition of the guiding centre velocity to eliminate the motion due to finite… (More)

- Mikhail Isaev
- 2011

We give an overview of known results on stability and instability in two problems: the Gel’fand inverse boundary value problem and the inverse scattering problem(3D). In particular, we present our new instability estimates, see [M. Isaev, Exponential instability in the Gel’fand inverse problem on the energy intervals, J. Inverse Ill-Posed Probl., Vol.… (More)

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