The perimeter and the site-perimeter of set partitions

Toufik Mansour

doi:10.37236/8250

The perimeter and the site-perimeter of set partitions

Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the generating function for the number of set partitions of [n] represented as bargraphs according to the perimeter/site-perimeter. In particular, we find explicit formulas for the total perimeter and the total site-perimeter over all set partitions of [n].

Original language	American English
Article number	#P2.30
Journal	Electronic Journal of Combinatorics
Volume	26
Issue number	2
DOIs	https://doi.org/10.37236/8250
State	Published - 2019

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

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The perimeter and the site-perimeter of set partitions

Abstract

All Science Journal Classification (ASJC) codes

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