Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Pepper Ryan"'
Publikováno v:
Discussiones Mathematicae Graph Theory, Vol 42, Iss 3, Pp 921-935 (2022)
In this paper we study relationships between the matching number, written µ(G), and the independence number, written α(G). Our first main result is to show
Externí odkaz:
https://doaj.org/article/43f47dc1c919410a8252c54bfaed9cd6
Let $G$ be a simple graph, and let $p$, $q$, and $r$ be non-negative integers. A \emph{$p$-independent} set in $G$ is a set of vertices $S \subseteq V(G)$ such that the subgraph induced by $S$ has maximum degree at most $p$. The \emph{$p$-independenc
Externí odkaz:
http://arxiv.org/abs/2409.03233
TxGraffiti is an automated conjecturing program that produces graph theoretic conjectures in the form of conjectured inequalities. This program written and maintained by the second author since 2017 was inspired by the successes of previous automated
Externí odkaz:
http://arxiv.org/abs/2104.01092
Autor:
Pepper, Ryan Alexander, Fangohr, Hans
The Barnes-Hut and Fast Multipole Methods are widely utilised methods applied in order to reduce the computational cost of evaluating long range forces in $N$-body simulations. Despite this, applying existing libraries to simple problems with higher
Externí odkaz:
http://arxiv.org/abs/2005.12351
Autor:
Bisotti, Marc-Antonio, Cortés-Ortuño, David, Pepper, Ryan A., Wang, Weiwei, Beg, Marijan, Kluyver, Thomas, Fangohr, Hans
Publikováno v:
Journal of Open Research Software 6, 22 (2018)
Fidimag is an open-source scientific code for the study of magnetic materials at the nano- or micro-scale using either atomistic or finite difference micromagnetic simulations, which are based on solving the Landau-Lifshitz-Gilbert equation. In addit
Externí odkaz:
http://arxiv.org/abs/2002.04318
In this paper we study relationships between the \emph{matching number}, written $\mu(G)$, and the \emph{independence number}, written $\alpha(G)$. Our first main result is to show \[ \alpha(G) \le \mu(G) + |X| - \mu(G[N_G[X]]), \] where $X$ is \emph
Externí odkaz:
http://arxiv.org/abs/1909.09093
Autor:
Beg, Marijan, Pepper, Ryan A., Cortés-Ortuño, David, Atie, Bilal, Bisotti, Marc-Antonio, Downing, Gary, Kluyver, Thomas, Hovorka, Ondrej, Fangohr, Hans
Publikováno v:
Scientific Reports 9, 7959 (2019)
The prediction of magnetic skyrmions being used to change the way we store and process data has led to materials with Dzyaloshinskii-Moriya interaction coming into the focus of intensive research. So far, studies have looked mostly at magnetic system
Externí odkaz:
http://arxiv.org/abs/1808.10772
Autor:
Cortés-Ortuño, David, Beg, Marijan, Nehruji, Vanessa, Breth, Leoni, Pepper, Ryan, Kluyver, Thomas, Downing, Gary, Hesjedal, Thorsten, Hatton, Peter, Lancaster, Tom, Hertel, Riccardo, Hovorka, Ondrej, Fangohr, Hans
Publikováno v:
New Journal of Physics, 20, 113015 (2018)
Understanding the role of the Dzyaloshinskii-Moriya interaction (DMI) for the formation of helimagnetic order, as well as the emergence of skyrmions in magnetic systems that lack inversion symmetry, has found increasing interest due to the significan
Externí odkaz:
http://arxiv.org/abs/1803.11174
Autor:
Pepper, Ryan Alexander, Beg, Marijan, Cortés-Ortuño, David, Kluyver, Thomas, Bisotti, Marc-Antonio, Carey, Rebecca, Vousden, Mark, Albert, Maximilian, Wang, Weiwei, Hovorka, Ondrej, Fangohr, Hans
Publikováno v:
Journal of Applied Physics 123, 093903 (2018)
Recent studies have demonstrated that skyrmionic states can be the ground state in thin-film FeGe disk nanostructures in the absence of a stabilising applied magnetic field. In this work, we advance this understanding by investigating to what extent
Externí odkaz:
http://arxiv.org/abs/1801.03275
Autor:
Caro, Yair, Pepper, Ryan
The maximum oriented $k$-forcing number of a simple graph $G$, written $\MOF_k(G)$, is the maximum directed $k$-forcing number among all orientations of $G$. This invariant was recently introduced by Caro, Davila and Pepper in [CaroDavilaPepper], and
Externí odkaz:
http://arxiv.org/abs/1709.07509