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pro vyhledávání: '"Horsley P"'
For positive integers $s,t,m$ and $n$, the Zarankiewicz number $z(m,n;s,t)$ is the maximum number of edges in a subgraph of $K_{m,n}$ that has no complete bipartite subgraph containing $s$ vertices in the part of size $m$ and $t$ vertices in the part
Externí odkaz:
http://arxiv.org/abs/2411.18842
A sequence covering array, denoted \textsf{SCA}$(N;t,v)$, is a set of $N$ permutations of $\{0, \dots, v-1 \}$ such that each sequence of $t$ distinct elements of $\{0, \dots, v-1\}$ reads left to right in at least one permutation. The minimum number
Externí odkaz:
http://arxiv.org/abs/2411.17145
An (edge) decomposition of a graph $G$ is a set of subgraphs of $G$ whose edge sets partition the edge set of $G$. Here we show, for each odd $\ell \geq 5$, that any graph $G$ of sufficiently large order $n$ with minimum degree at least $(\frac{1}{2}
Externí odkaz:
http://arxiv.org/abs/2411.17232
Autor:
Aitokhuehi, Ayo, Braiman, Benjamin, Cutler, David Owen Horace, Darvas, Tamás, Deaton, Robert, Gupta, Prakhar, Horsley, Jude, Pidaparthy, Vasanth, Tang, Jen
Given a compact K\"ahler manifold $(X,\omega)$, due to the work of Darvas-Di Nezza-Lu, the space of singularity types of $\omega$-psh functions admits a natural pseudo-metric $d_\mathcal S$ that is complete in the presence of positive mass. When rest
Externí odkaz:
http://arxiv.org/abs/2411.11246
A $k$-star is a complete bipartite graph $K_{1,k}$. A partial $k$-star design of order $n$ is a pair $(V,\mathcal{A})$ where $V$ is a set of $n$ vertices and $\mathcal{A}$ is a set of edge-disjoint $k$-stars whose vertex sets are subsets of $V$. If e
Externí odkaz:
http://arxiv.org/abs/2411.09926
Autor:
Jain, Sheetal, Zhou, Zhengbang, Horsley, Ezekiel, Heath, Christopher J. S., Shakouri, Mohsen, Xiao, Qunfeng, Chen, Ning, Chen, Weifeng, King, Graham, Kim, Young-June
We carried out a comprehensive crystal structure characterization of Ti-doped lithium ruthenate (Li$_2$Ti$_x$Ru$_{1-x}$O$_3$), to investigate the effect of Ti-doping on the structural phase transition. Experimental tools sensitive to the average stru
Externí odkaz:
http://arxiv.org/abs/2410.12022
We give an exact application of a recently developed, operator-based theory of wave propagation in dispersive, time-varying media. Using this theory we find that the usual symmetry of complex conjugation plus changing the sign of the frequency, requi
Externí odkaz:
http://arxiv.org/abs/2410.07247
Autor:
Horsley, Jonathan, Hall, Gerard, Simpson, Callum, Kozma, Csaba, Thomas, Rhys, Wang, Yujiang, de Tisi, Jane, Miserocchi, Anna, McEvoy, Andrew, Vos, Sjoerd, Winston, Gavin, Duncan, John, Taylor, Peter
Importance: Many individuals with drug-resistant epilepsy continue to have seizures after resective surgery. Accurate identification of focal brain abnormalities is essential for successful neurosurgical intervention. Current clinical approaches to i
Externí odkaz:
http://arxiv.org/abs/2410.03548
Autor:
Horsley, S. A. R., Baker, R. K.
Macroscopic QED (MQED) is the field theory for computing quantum electromagnetic effects in dispersive media. Here we extend MQD to treat time-varying, dispersive media. For a time dependent Drude model, we find that the expected replacement ${\epsil
Externí odkaz:
http://arxiv.org/abs/2409.11873
We address the last outstanding case of the directed Oberwolfach problem with two tables of different lengths. Specifically, we show that the complete symmetric directed graph $K^*_n$ admits a decomposition into spanning subdigraphs comprised of two
Externí odkaz:
http://arxiv.org/abs/2408.10448