2,779 research outputs found
Creating the Royal Society's Sylvester Medal
Following the death of James Joseph Sylvester in 1897, contributions were collected in order to mark his life and work by a suitable memorial. This initiative resulted in the Sylvester Medal, which is awarded triennially by the Royal Society for the encouragement of research into pure mathematics. Ironically the main advocate for initiating this medal was not a fellow mathematician but the chemist and naturalist Raphael Meldola. Religion, not mathematics, provided the link between Meldola and Sylvester; they were among the very few
Jewish Fellows of the Royal Society. This paper focuses primarily on the politics of the Anglo-Jewish community and why it, together with a number of scientists and mathematicians,
supported Meldola in creating the Sylvester Medal
Separation dimension of bounded degree graphs
The 'separation dimension' of a graph is the smallest natural number
for which the vertices of can be embedded in such that any
pair of disjoint edges in can be separated by a hyperplane normal to one of
the axes. Equivalently, it is the smallest possible cardinality of a family
of total orders of the vertices of such that for any two
disjoint edges of , there exists at least one total order in
in which all the vertices in one edge precede those in the other. In general,
the maximum separation dimension of a graph on vertices is . In this article, we focus on bounded degree graphs and show that the
separation dimension of a graph with maximum degree is at most
. We also demonstrate that the above bound is nearly
tight by showing that, for every , almost all -regular graphs have
separation dimension at least .Comment: One result proved in this paper is also present in arXiv:1212.675
216 Jewish Hospital of St. Louis
https://digitalcommons.wustl.edu/bjc_216/1118/thumbnail.jp
A selection of open problems
AbstractThis is a collection of open problems which touch on Neil Hindman's mathematics and were collected in conjunction with the Conference on Ramsey Theory and Topological Algebra in his honor
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