Reconstruction of Partitions

@article{Pretzel2005ReconstructionOP,
  title={Reconstruction of Partitions},
  author={Oliver Pretzel and Johannes Siemons},
  journal={Electr. J. Comb.},
  year={2005},
  volume={11}
}
For the partition x = [x1 ≥ x2 ≥ · · · ≥ xk] of the integer n = ∑ i xi a t-deletion is a partition y = [y1 ≥ y2 ≥ · · · ≥ yk] with xi ≥ yi ≥ 0 and ∑ i (xi−yi) = t. We prove that all partitions of n are reconstructible from their t–deletions if n is sufficiently large in relation to t. 

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The Representation Theory of the Symmetric Groups, Lecture Notes in Mathematics

  • G. James
  • 1978
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