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 -