The degree of regularity of an (a, b)-triple, denoted by dor(a, b), is the largest positive integer r, if it exists, such that for every r-coloring of the ...

Jul 28, 2005 · A triple of the form (x,ax+d,bx+2d), where x,d are positive integers is called an {\em (a,b)-triple}. The {\em degree of regularity} of the ...

The degree of regularity of the family of all -triples, denoted , is the maximum integer r such that every r-coloring of admits a monochromatic -triple.

A triple of the form (x, ax + d, bx + 2d), where x, d are positive integers is called an (a,b)-triple. The degree of regularity of the family of all (a, b)- ...

On the degree of regularity of generalized van der Waerden triples. Fox, Jacob; Radoičić, Radoš · Integers (2005). Volume: 5, Issue: 1, page Paper A32, ...

The {\em degree of regularity} of the family of all $(a,b)$-triples, denoted dor($a,b)$, is the maximum integer $r$ such that every $r$-coloring of $\mathbb{N}$ ...

On the degree of regularity of generalized van der Waerden triples · Mathematics. Adv. Appl. Math. · 2006.

Oct 22, 2024 · By van der Waerden's theorem, (1, 1) is r-regular for all r. In [2], [3] , and [5], results on the degree of regularity of (a, b)-triples, ...

The degree of regularity of the family of all ( a, b )-triples, denoted dor ( a, b ), is the maximum integer r such that every r-coloring of N admits a ...

On the degree of regularity of generalized van der Waerden triples · N. Frantzikinakis, Bruce M. Landman, Aaron Robertson · Published in Advances in Applied… 28 ...