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Unimodal Sequence

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A unimodal sequence is a finite sequence that first increases and then decreases. A sequence {s_1,s_2,...,s_n} is unimodal if there exists a t such that

s_1<=s_2<=...<=s_t

and

s_t>=s_(t+1)>=...>=s_n.

See also

Grid Shading Problem, Logarithmically Concave Sequence, Unimodal Polynomial

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References

Levit, V. E. and Mandrescu, E. "The Independence Polynomial of a Graph--A Survey." In Proceedings of the 1st International Conference on Algebraic Informatics. Held in Thessaloniki, October 20-23, 2005 (Ed. S. Bozapalidis, A. Kalampakas, and G. Rahonis). Thessaloniki, Greece: Aristotle Univ., pp. 233-254, 2005.

Referenced on Wolfram|Alpha

Unimodal Sequence

Cite this as:

Weisstein, Eric W. "Unimodal Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UnimodalSequence.html

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