English

Greedy algorithms and poset matroids

Combinatorics 2013-06-18 v1 Data Structures and Algorithms

Abstract

We generalize the matroid-theoretic approach to greedy algorithms to the setting of poset matroids, in the sense of Barnabei, Nicoletti and Pezzoli (1998) [BNP]. We illustrate our result by providing a generalization of Kruskal algorithm (which finds a minimum spanning subtree of a weighted graph) to abstract simplicial complexes.

Keywords

Cite

@article{arxiv.1306.3797,
  title  = {Greedy algorithms and poset matroids},
  author = {Luca Ferrari},
  journal= {arXiv preprint arXiv:1306.3797},
  year   = {2013}
}
R2 v1 2026-06-22T00:34:49.008Z