Forced differences between terms of subsequences of integer sequences
Authors: Michael Gilpin and Robert Shelton
Journal: Proc. Amer. Math. Soc. 88 (1983), 569-578
MSC: Primary 10L10
MathSciNet review: 702277
Abstract: Let be a sequence of integers and let be a fixed finite set of integers. For each positive integer we investigate the problem of choosing maximal subsequences from such that for . An asymptotic form for , the maximum length of such subsequences, is derived in the special case .
-  Michael Gilpin and Robert Shelton, Problem 1152, Math. Mag. 55 (1982), 237.
-  Chung Laung Liu, Elements of discrete mathematics, McGraw-Hill Book Co., New York-Auckland-Bogotá, 1977. McGraw-Hill Computer Science Series. MR 0520385
-  -, Topics in combinatorial mathematics, Math. Assoc. Amer., Washington, D.C., 1972.
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