Ore's Theorem
978-613-1-30286-2
6131302863
108
2010-08-17
39.00 €
eng
https://images.our-assets.com/cover/230x230/9786131302862.jpg
https://images.our-assets.com/fullcover/230x230/9786131302862.jpg
https://images.our-assets.com/cover/2000x/9786131302862.jpg
https://images.our-assets.com/fullcover/2000x/9786131302862.jpg
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Ore's theorem is a result in graph theory proved in 1960 by Norwegian mathematician Øystein Ore. It gives a sufficient condition for a graph to be Hamiltonian, essentially stating that a graph with "sufficiently many edges" must contain a Hamilton cycle. Specifically, the theorem considers the sum of the degrees of any two non-adjacent vertices. Ore's theorem is a generalization of Dirac's theorem and further generalization leads to the Bondy-Chvátal theorem.Suppose for a contradiction that the result fails. It is therefore possible to pick a non-Hamiltonian maximal (i.e. with the most possible edges) graph G on n ≥ 3 vertices satisfying property.
https://www.morebooks.de/books/gb/published_by/betascript-publishing/1/products
Mathematics
https://www.morebooks.de/store/gb/book/ore-s-theorem/isbn/978-613-1-30286-2