Results 91 to 100 of about 246,865 (191)

Edges in the poset of partitions of an integer

Journal of Combinatorial Theory, Series A, 1988
Let \(P_ n\) be the poset of partitions of n, ordered by refinement. The author counts the number NE(n,t) of edges in the Hasse diagram of \(P_ n\) between rank levels t and t-1. He presents the recursion formula \[ NE(n,t)=NE(n-1,t)+NE(t+1,2t-n+1). \]
openaire   +2 more sources

Strongly intersecting integer partitions

Discrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Partitions of integers, Ferrers-Young diagrams, and representational efficacy of spreadsheet modeling

Spreadsheets in Education, 2012
This article shows how concrete materials can be used in the context of partitions of integers to develop recursive definitions of concepts amenable to spreadsheet modeling.
Sergei Abramovich
doaj  

On the poset of partitions of an integer

Electronic Notes in Discrete Mathematics, 2006
Sadek Bouroubi, Nesrine Benyahia Tani
openaire   +2 more sources

Casting Light on Integer Partitions

Summary: Integer partitions ofnare viewed as bargraphs (i.e., Young diagrams rotated anticlockwise by 90 degrees) in which theith part of the partition \(x_i\) is given by the \(i\)th column of the bargraph with \(x_i\) cells. The sun is at infinity in the northwest of our two dimensional model and each cell may or may not be lit depending on whether ...
Blecher, Aubrey, Knopfmacher, Arnold, Mays, Michael   +2 more
openaire   +2 more sources

Integer partitions detect the primes. [PDF]

Proc Natl Acad Sci U S A
Craig W, van Ittersum JW, Ono K.
europepmc   +1 more source

A central limit theorem for integer partitions into small powers. [PDF]

Mon Hefte Math
Lipnik GF, Madritsch MG, Tichy RF.
europepmc   +1 more source

Redefining topological robustness in optical polarization fields through a generalized skyrmion number. [PDF]

Nat Commun
Wang AA, Ma Y, Zhao Z, Cai Y, Morris SM, He H, Xie Z, Shi P, Shen Y, Zayats AV, Yuan X, He C.   +11 more
europepmc   +1 more source

Eigenweights for arithmetic Hirzebruch Proportionality. [PDF]

PNAS Nexus
Feng T.
europepmc   +1 more source

Robust policy evaluation from large-scale observational studies. [PDF]

PLoS One
Islam MS, Morshed MS, Young GJ, Noor-E-Alam M.   +3 more
europepmc   +1 more source