Автор |
Donadelli, Jair |
Автор |
Haxell, Penny E. |
Автор |
Kohayakawa, Yoshiharu |
Дата выпуска |
2005 |
dc.description |
Let T <sub> sH </sub> be the graph obtained from a given graph H by subdividing each edge s times. Motivated by a problem raised by Igor Pak [Mixing time and long paths in graphs, in Proc. of the 13th annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2002) 321–328], we prove that, for any graph H, there exist graphs G with O(s) edges that are Ramsey with respect to T <sub> sH </sub>. |
Формат |
application.pdf |
Издатель |
EDP Sciences |
Копирайт |
© EDP Sciences, 2005 |
Тема |
The Size-Ramsey number |
Тема |
Ramsey theory |
Тема |
expanders |
Тема |
Ramanujan graphs |
Тема |
explicit constructions. |
Название |
A note on the Size-Ramsey number of long subdivisions of graphs |
Тип |
research-article |
DOI |
10.1051/ita:2005019 |
Electronic ISSN |
1290-385X |
Print ISSN |
0988-3754 |
Журнал |
RAIRO - Theoretical Informatics and Applications |
Том |
39 |
Первая страница |
191 |
Последняя страница |
206 |
Аффилиация |
Donadelli Jair; Departamento de Informática, Universidade Federal do Paraná, Centro Politécnico Caixa Postal 19081, 81531-980 Curitiba PR, Brasil; e-mail: |
Аффилиация |
Haxell Penny E.; Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada; e-mail: |
Аффилиация |
Kohayakawa Yoshiharu; Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508–090 São Paulo SP, Brasil; e-mail: |
Выпуск |
1 |