scientific article; zbMATH DE number 7566024

MaRDI QIDQ5094086

Salah Uddin Mohammad, M.D. Shah Noor, M.D. Rashed Talukder

Publication date: 2 August 2022

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL25/Uddin/uddin6.html

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zbMATH Keywords

exact enumerationdirect sumenumeration algorithmunlabeled posetspolynomial time-complexity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics of partially ordered sets (06A07) Calculation of integer sequences (11Y55)

Uses Software

• OEIS

Cites Work

• Posets on up to 16 points
• On the cardinalities of finite topologies and the number of antichains in partially ordered sets
• The number of orders with thirteen elements
• Height counting of unlabeled interval and \(N\)-free posets.
• Enumeration and limit laws for series-parallel graphs
• Recognition of prime posets and one of its applications
• The number of unlabeled orders on fourteen elements
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