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pro vyhledávání: '"P, Rödl"'
We study quantitative aspects of the following fact: For every graph $F$, there exists a graph $G$ with the property that any $2$-coloring of the triangles of $G$ yields an induced copy of $F$, in which all triangles are monochromatic. We define the
Externí odkaz:
http://arxiv.org/abs/2411.13416
Autor:
Dreher, Pascal, Neuhaus, Alexander, Janoschka, David, Roedl, Alexandra, Meiler, Tim, Frank, Bettina, Davis, Timothy J., Giessen, Harald, Heringdorf, Frank Meyer zu
Publikováno v:
Advanced Photonics, Vol. 6, Issue 6, 066007 (2024)
Topology is the study of geometrical properties and spatial relations unaffected by continuous changes, and has become an important tool for understanding complex physical systems. Although recent optical experiments have inferred the existence of ve
Externí odkaz:
http://arxiv.org/abs/2411.03262
We establish the existence of generalised Sidon sets enjoying additional Ramsey-type properties, which are motivated by questions of Erd\H{o}s and Newman and of Alon and Erd\H{o}s.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2409.04809
Autor:
Rancurel, Belén Alonso, Cao, Son, Carroll, Thomas J., Castellan, Rhys, Catano-Mur, Erika, Cesar, John P., Coelho, João A. B., Dills, Patrick, Dodwell, Thomas, Edmondson, Jack, van Eijk, Daan, Fetterly, Quinn, Garbal, Zoé, Germani, Stefano, Gilpin, Thomas, Giraudo, Anthony, Habig, Alec, Hanuska, Daniel, Hausner, Harry, Hernandez, Wilson Y., Holin, Anna, Huang, Junting, Jones, Sebastian B., Karle, Albrecht, Kileff, George, Jenkins, Kai R., Kooijman, Paul, Kreymer, Arthur, LaFond, Gabe M., Lang, Karol, Lazar, Jeffrey P., Li, Rui, Liu, Kexin, Loving, David A., Mánek, Petr, Marshak, Marvin L., Meier, Jerry R., Miller, William, Nelson, Jeffrey K., Ng, Christopher, Nichol, Ryan J., Paolone, Vittorio, Perch, Andrew, Pfützner, Maciej M., Radovic, Alexander, Rawlins, Katherine, Roedl, Patrick, Rogers, Lucas, Safa, Ibrahim, Sousa, Alexandre, Tingey, Josh, Thomas, Jennifer, Trokan-Tenorio, Jozef, Vahle, Patricia, Wade, Richard, Wendt, Christopher, Wendt, Daniel, Whitehead, Leigh H., Wolcott, Samuel, Yuan, Tianlu
The CHIPS R&D project focuses on development of low-cost water Cherenkov neutrino detectors through novel design strategies and resourceful engineering. This work presents an end-to-end DAQ solution intended for a recent 5 kt CHIPS prototype, which i
Externí odkaz:
http://arxiv.org/abs/2408.10828
The $k$-representation number of a graph $G$ is the minimum cardinality of the system of vertex subsets with the property that every edge of $G$ is covered at least $k$ times while every non-edge is covered at most $(k-1)$ times. In particular, for $
Externí odkaz:
http://arxiv.org/abs/2403.01563
Autor:
Rödl, Vojtěch, Sales, Marcelo
A set of points $S$ in Euclidean space $\mathbb{R}^d$ is called \textit{Ramsey} if any finite partition of $\mathbb{R}^{\infty}$ yields a monochromatic copy of $S$. While characterization of Ramsey set remains a major open problem in the area, a stro
Externí odkaz:
http://arxiv.org/abs/2402.17137
In their classical paper, Erd\H{o}s, Goodman and Posa studied the representation of a graph by vertex set $[n]$ with a family of subsets $S_1,\dots, S_n$ with the property that $\{i,j\}$ is an edge iff $S_i\cap S_j\neq \emptyset$. In this note, we co
Externí odkaz:
http://arxiv.org/abs/2402.16984
Autor:
Pudlák, Pavel, Rödl, Vojtěch
According to Ramsey theorem, for every $k$ and $n$, if $N$ is sufficiently large, then for every 2-coloring $\psi$ of $k$-element subsets of $[N]$ there exists a monochromatic set $S\subseteq[N]$ (a set such that all $k$-element subsets of $S$ have t
Externí odkaz:
http://arxiv.org/abs/2402.05286
Autor:
Rancurel, B. Alonso, Angelides, N., Augustoni, G., Bash, S., Bergmann, B., Bertschinger, N., Bizouard, P., Campbell, M., Cao, S., Carroll, T. J., Castellan, R., Catano-Mur, E., Cesar, J. P., Coelho, J. A. B., Dills, P., Dodwell, T., Edmondson, J., van Eijk, D., Fetterly, Q., Garbal, Z., Germani, S., Gilpin, T., Giraudo, A., Habig, A., Hanuska, D., Hausner, H., Hernandez, W. Y., Holin, A., Huang, J., Jones, S. B., Karle, A., Kileff, G., Jenkins, K. R., Kooijman, P., Kreymer, A., Loving, D. A., LaFond, G. M., Lang, K., Lazar, J. P., Li, R., Liu, K., Mánek, P., Marshak, M. L., Meier, J. R., Miller, W., Nelson, J. K., Ng, C., Nichol, R. J., Paolone, V., Perch, A., Pfützner, M. M., Radovic, A., Rawlins, K., Roedl, P., Rogers, L., Safa, I., Sousa, A., Tingey, J., Thomas, J., Trokan-Tenorio, J., Vahle, P., Wade, R., Wendt, C., Wendt, D., Whitehead, L. H., Wolcott, S., Yuan, T.
CHIPS (CHerenkov detectors In mine PitS) was a prototype large-scale water Cherenkov detector located in northern Minnesota. The main aim of the R&D project was to demonstrate that construction costs of neutrino oscillation detectors could be reduced
Externí odkaz:
http://arxiv.org/abs/2401.11728
We construct for every integer $k\geq 3$ and every real $\mu\in(0, \frac{k-1}{k})$ a set of integers $X=X(k, \mu)$ which, when coloured with finitely many colours, contains a monochromatic $k$-term arithmetic progression, whilst every finite $Y\subse
Externí odkaz:
http://arxiv.org/abs/2311.08556