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We give a broad survey of recent results in Enumerative Combinatorics and their complexity aspects.
31 pages; an expanded version of the ICM 2018 paper (Section 4 added, refs expanded)
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Mathematics - History and Overview, History and Overview (math.HO), Probability (math.PR), Computational Complexity (cs.CC), Computer Science - Computational Complexity, FOS: Mathematics, 05A, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Probability, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Mathematics - History and Overview, History and Overview (math.HO), Probability (math.PR), Computational Complexity (cs.CC), Computer Science - Computational Complexity, FOS: Mathematics, 05A, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Probability, Computer Science - Discrete Mathematics
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |