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[The (strong) rainbow connection numbers of Cayley graphs on Abelian groups, Comput. Math. Appl.62(11) (2011) 4082–4088] obtained an upper bound of the strong rainbow connection number of an r-dimensional undirected toroidal mesh. In this paper, this bound is improved.
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The tables below show averages, cutoffs and other summary statistics for recent contests. Similar numbers and more detailed results are also available for past contests. Pascal, Cayley and Fermat 2021
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We showed that weak sense of direction can be decided in logarithmic parallel time, and this implies that the same is true of Cayley colour graphs; this is the first complexity result on Cayley graph (the non-coloured case is not known to be polynomial or NP-complete).
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Cayley’s formula; ... The API will listen to any visible change of the page under all the cases, regardless of that, it's on phone or desktop. Subhajit Mondal. ... It can be used to search for the presence of a number in O(log(n)) time and a simple traversal gives the numbers in sorted order.
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Arthur Cayley. Arthur Cayley FRS (/ˈkeɪli/; 16 August 1821 – 26 January 1895) was a prolific British mathematician who worked mostly on algebra.
Cayley undoubtedly had the true scientific spirit, for he was a founder member of both the Yorkshire Philosophical Society and the Scarborough Philosophical Society and also helped to found and promote the British Association for the Advancement of Science in 1831.
His father, Henry Cayley, was a distant cousin of Sir George Cayley, the aeronautics engineer innovator, and descended from an ancient Yorkshire family. He settled in Saint Petersburg, Russia, as a merchant. His mother was Maria Antonia Doughty, daughter of William Doughty.
The remainder of his papers were edited by Andrew Forsyth, his successor in the Sadleirian Chair. The Collected Mathematical papers number thirteen quarto volumes, and contain 967 papers. Cayley retained to the last his fondness for novel-reading and for travelling.