TY - JOUR
T1 - Ramsey functions for sequences with restricted gaps
AU - Chokshi, Kajal
AU - Clifton, Alexander
AU - Landman, Bruce M.
AU - Sawin, Oliver
PY - 2018/5/1
Y1 - 2018/5/1
N2 - For a set of positive integers D, a fc-Term D-diffsequence is a sequence of positive integers ai < a2 <...< ak such that a< -Ai € D for all i 6 {2,3,...,k}. If k € Z+ and D € Z+ , define Δ(D,k) to be the least positive integer n such that every 2-coloring of {1,2,... ,n} contains a monochromatic fc-Term D-diffsequence. Bounds find exact values for Δ(D, k) for certain choices of D are given, improving on previous results.
AB - For a set of positive integers D, a fc-Term D-diffsequence is a sequence of positive integers ai < a2 <...< ak such that a< -Ai € D for all i 6 {2,3,...,k}. If k € Z+ and D € Z+ , define Δ(D,k) to be the least positive integer n such that every 2-coloring of {1,2,... ,n} contains a monochromatic fc-Term D-diffsequence. Bounds find exact values for Δ(D, k) for certain choices of D are given, improving on previous results.
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M3 - Article
AN - SCOPUS:85047498626
SN - 0835-3026
VL - 105
SP - 35
EP - 44
JO - Journal of Combinatorial Mathematics and Combinatorial Computing
JF - Journal of Combinatorial Mathematics and Combinatorial Computing
ER -