Ramsey theoryrandom graphsgrid graphWe show that the size-Ramsey number of the √n ×√ n grid graph is O(n~(5/4)), improving a previous bound of n~(3/2+o(1)) by Clemens, Miralaei, Reding, Schacht, and Taraz.David ConlonDepartment of MathematicsRajko Nenadov...
On the size-Ramsey number of grid graphs 来自 学术范 喜欢 0 阅读量: 32 作者: D Clemens,M Miralaei,D Reding,M Schacht,A Taraz 展开 摘要: The size-Ramsey number of a graph F is the smallest number of edges in a graph G with the Ramsey property for F , that is, with ...
Understanding pre-1850s fire history and its effect on forest structure can provide insights useful for fire managers in developing plans to moderate fire hazards in the face of forecasted climate change. While climate clearly plays a substantial role in
key questions still remain unanswered with regard to the route(s) and the number of wave(s) in the dispersal into East Eurasia. Ancient genomes at the edge of the region may elucidate a more detailed picture of the peopling of East Eurasia. Here, we analyze the whole-genome sequence of a...
Full size image αCaMKII-KO Mice Display Increased Locomotor Activity and have Elevated Extracellular Dopamine Concentrations A null mutation of unc-43, theCaenorhabditis eleganshomolog ofαCaMKII, causes hyperactivity in the nematode (Reiner et al, 1999). Hence, we recorded the baseline locomotor ac...
The size-Ramsey number of a graph $F$ is the smallest number of edges in a graph $G$ with the Ramsey property for $F$, that is, with the property that any 2-colouring of the edges of $G$ contains a monochromatic copy of $F$. We prove that the size-Ramsey number of the grid ...
Fox, C. Lee, and B. Sudakov, On the grid Ramsey problem and related questions, Int. Math. Res. Not. IMRN (2015), 8052-8084.D. Conlon, J. Fox, C. Lee, B. Sudakov, On the grid Ramsey problem and related questions, Int. Math. Res. Not., 2015 (2015), 8052-8084....
The size Ramsey number was introduced by Erds, Faudree, Rousseau, and Schelp in 1978 and they ended their foundational paper by asking whether one can determine up to a constant factor the size Ramsey numbers of three families of graphs: complete bipartite graphs, book graphs (obtained by ...
Fox, C. Lee, and B. Sudakov, On the grid Ramsey problem and related questions, Int. Math. Res. Not. IMRN (2015), 8052-8084.D. Conlon, J. Fox, C. Lee, B. Sudakov, On the grid Ramsey problem and related questions, Int. Math. Res. Not., 2015 (2015), 8052-8084....
On the Grid Ramsey Problem and Related Questions The Hales Jewett theorem is one of the pillars of Sudakov,Benny,Fox,... - 《International Mathematics Research Notices Imrn》 被引量: 0发表: 2015年 On the grid Ramsey problem and related questions The Hales Jewett theorem is one of the pillar...