| Title | LOWER BOUNDS FOR SOME RAMSEY NUMBERS |
| Publication Type | Journal Article |
| Year of Publication | 2004 |
| Authors | Nenov N |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 96 |
| Keywords | Ramsey numbers |
| Abstract | For the Ramsey number $R(p_1,\ldots,p_r)$, $r\geq2$, we prove that \[ R(p_1,\ldots,p_r) > \bigl( R(p_1,\ldots,p_s)-1\bigr) \bigl( R(p_{s+1},\ldots,p_r)-1\bigr), \] $s\in\{1,\ldots,r-1\}$. This inequality generalizes a result obtained by Robertson (Theorem 1) and improves the lower bounds for some Ramsey numbers. |
| 2000 MSC | 05D10 |
| Attachment | Size |
|---|---|
 0896.pdf | 32.05 KB |
| Attachment | Size |
|---|---|
| 96-085-087.pdf | 182.5 KB |