96 citations
- Institute of MagnetismUA5 papers
- Taras Shevchenko National University of KyivUA3 papers
- Ministry of Education and ScienceUA2 papers
- National Academy of Sciences of UkraineUA2 papers
- National Institute of Astrophysics, Optics and ElectronicsMX1 paper
- Tyler Junior CollegeUS1 paper
- University of SalfordGB1 paper
9 papers
Seymour's Second Neighborhood Conjecture for Subsets of Vertices
Tyler Seacrest
Seymour conjectured that every oriented simple graph contains a vertex whose second neighborhood is at least as large as its first. In this note, we put forward a conjecture that w…
Vortex Mechanics in Thin Ferromagnetic Nanodisks
C. E. Zaspel
The magnetostatic energy is calculated for a magnetic vortex in a noncircular elliptical nanodisk. It is well-known that the energy of a vortex in the circular disk is minimized th…
The Arc-Weighted Version of the Second Neighborhood Conjecture
Tyler Seacrest
Seymour conjectured that every oriented simple graph contains a vertex whose second neighborhood is at least as large as its first. Seymour's conjecture has been verified in severa…
On Blow-Ups and Injectivity of Quivers
Will Grilliette, Deborah E. Seacrest, Tyler Seacrest
This work connects the idea of a "blow-up" of a quiver with that of injectivity, showing that for a class of monic maps , a quiver is -injective if and only if all blow-ups o…
Ground states and magnetization process for an triangular lattice array of magnetic dots with perpendicular anisotropy
V. E. Kireev, R. S. Khymyn, B. A. Ivanov +1
We analyzed the ground state of the array of magnetic particles (magnetic dots) which form a two-dimensional triangular lattice, and magnetic moment of which is perpendicular to th…
Collective modes for an array of magnetic dots with perpendicular magnetization
P. V. Bondarenko, A. Yu. Galkin, B. A. Ivanov +1
The dispersion relations of collective oscillations of the magnetic moment of magnetic dots arranged in square-planar arrays and having magnetic moments perpendicular to the array…