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arxiv: 0711.4325 · v1 · submitted 2007-11-27 · 🧮 math.CO · math.PR

On Three Different Notions of Monotone Subsequences

classification 🧮 math.CO math.PR
keywords patternmonotoneresultsthreeavoidanceavoidingclassiccompares
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We review how the monotone pattern compares to other patterns in terms of enumerative results on pattern avoiding permutations. We consider three natural definitions of pattern avoidance, give an overview of classic and recent formulas, and provide some new results related to limiting distributions.

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