Euler tour of a tree, with edges labeled to show the order in which they are traversed by the tour
The Euler tour technique (ETT), named after Leonhard Euler, is a method in graph theory for representing trees. The tree is viewed as a directed graph that contains two directed edges for each edge in the tree. The tree can then be represented as a Eulerian circuit of the directed graph, known as the Euler tour representation (ETR) of the tree. The ETT allows for efficient, parallel computation of solutions to common problems in algorithmic graph theory. It was introduced by Tarjan and Vishkin in 1984.[1]
^Tarjan, R.E.; Vishkin, U. (1984). Finding biconnected components and computing tree functions in logarithmic parallel time. Proceedings of FOCS. pp. 12–20. CiteSeerX 10.1.1.419.3088. doi:10.1109/SFCS.1984q5896.
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The Eulertourtechnique (ETT), named after Leonhard Euler, is a method in graph theory for representing trees. The tree is viewed as a directed graph...
class Euler diagram – popularly called "Venn diagrams", although some use this term only for a subclass of Euler diagrams. EulertourtechniqueEuler–Fokker...
ranking problem can be used to solve many problems on trees via an Eulertourtechnique, in which one forms a linked list that includes two copies of each...
Caspar Ett (1788–1847), German composer and organist English Touring Theatre Eulertourtechnique, in graph theory Extensional type theory, in logic Endotracheal...
use of an algorithm called prefix sum by using the Eulertourtechnique. With the Eulertourtechnique, a tree could be represented in a flat style, and...
than it starts in the case of an Euler path or returning to its starting point in the case of an Eulertour. Euler stated the fundamental results for...
Astronautics on May 13, 2008. Flandro is an 11th generation pupil of Euler. The lineage is: Euler, Lagrange, Fourier, Lejeune Dirichlet, Lipschitz, Klein, Lindemann...
from which it follows that it has an Eulertour, a tour that visits each edge of the multigraph exactly once. This tour will be an optimal solution to the...
combinatorics. Many famous mathematicians have studied such problems, including Euler, Legendre, and Gauss. Besides finding a solution to a particular puzzle...
introduced to acting when he accompanied his friend Roger Bart to a Meisner technique class. He studied for two years under Kathryn Gately at the Gately/Poole...
Their method involves forming an Eulertour of a graph formed from the input tree by doubling every edge, and using this tour to write a sequence of level...
ISBN 978-0-471-31515-5 Lemmermeyer, Franz (2000), Reciprocity Laws: From Euler to Eisenstein, Springer Monographs in Mathematics, New York: Springer,...
The Joy of x : A Guided Tour of Math, from One to Infinity. Eamon Dolan/Houghton Mifflin Harcourt. ISBN 978-0547517650. Euler Book Prize, Mathematical...
original on October 8, 2016. Retrieved August 17, 2016. Cassidy, Grace; Euler, Laura (May 23, 2018). "Hamptons Celebrity Homes Mapped". Curbed. Retrieved...
reputation grew at the end of the 19th century with the invention of modern techniques such as conching and tempering, which enabled higher quality. Another...
from the original on 2013-01-03. Retrieved 2013-06-16. Dobyns, Henry F.; Euler, Robert C. (1999). "Bands of Gardeners: Pai Sociopolitical Structure". American...
execution of the Lutz. In 2018, the name of the half loop jump was changed to "Euler" by the International Skating Union. Lipinski told reporter Jennifer Calfas...
Piphilology comprises the creation and use of mnemonic techniques to remember many digits of the mathematical constant π. The word is a play on the word...
Country profile: France Archived 1 October 2020 at the Wayback Machine, Euler Hermes "These are the top 10 manufacturing countries in the world". World...
least action which had been studied earlier by Pierre Louis Maupertuis, Euler, Joseph Louis Lagrange and others. Hamilton's analysis uncovered a deeper...
strategic aims of most openings are similar: Development: This is the technique of placing the pieces (particularly bishops and knights) on useful squares...
introductory chapter on Sudoku and its deductive puzzle-solving techniques (also touching on Eulertours and Hamiltonian cycles), the book has eight more chapters...
stable in stormy weather. Franklin was, along with his contemporary Leonhard Euler, the only major scientist who supported Christiaan Huygens's wave theory...
(Princeton, New Jersey: Princeton University Press) Leonhard Euler, On magic squares Leonhard Euler, Investigations on new type of magic square William H. Benson...
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