Enumerations of bargraphs with respect to corner statistics

DOI10.2298/AADM181101009MzbMath1474.05005arXiv1808.01596OpenAlexW3102130624MaRDI QIDQ4988990

Toufik Mansour, Gökhan Yıldırım

Publication date: 20 May 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01596

zbMATH Keywords

generating functionsStirling numbers of the second kindcornersset partitionsbargraphs

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05)

Related Items (1)

A decomposition of column-convex polyominoes and two vertex statistics

Cites Work

• Statistics on bargraphs viewed as cornerless Motzkin paths
• Exact solution of the discrete \((1+1)\)-dimensional SOS model with field and surface interactions
• The site-perimeter of bargraphs
• Interior vertices in set partitions
• Critical exponents from nonlinear functional equations for partially directed cluster models
• Counting corners in partitions
• Counting corners in compositions and set partitions presented as bargraphs
• Combinatorial parameters in bargraphs
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