We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Betti Numbers of Cut Ideals of Trees.
- Authors
Potka, Samu; Sarmiento, Camilo
- Abstract
Cut ideals, introduced by Sturmfels and Sullivant, are used in phylogenetics and algebraic statistics. We study the minimal free resolutions of cut ideals of tree graphs. By employing basic methods from combinatorial topology, we obtain upper bounds for the Betti numbers of this type of ideals. These take the form of simple formulas on the number of vertices, which arise from the enumeration of induced subgraphs of certain incomparability graphs associated to the edge sets of trees
- Subjects
BETTI numbers; COMBINATORIAL topology; MATHEMATICAL statistics; FREE resolutions (Algebra); VERTEX operator algebras; SUBGRAPHS
- Publication
Journal of Algebraic Statistics, 2013, Vol 4, Issue 1, p108
- ISSN
1309-3452
- Publication type
Article
- DOI
10.18409/jas.v4i1.21