Výsledky vyhledávání - "Smith, Dorian"

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Arithmetical Structures on Coconut Trees

Autor: Diaz-Lopez, Alexander, Ha, Brian, Harris, Pamela E., Rogers, Jonathan, Koss, Theo, Smith, Dorian

If G is a finite connected graph, then an arithmetical structure on $G$ is a pair of vectors $(\mathbf{d}, \mathbf{r})$ with positive integer entries such that $(\diag(\mathbf{d}) - A)\cdot \mathbf{r} = \mathbf{0}$, where $A$ is the adjacency matrix

Externí odkaz: http://arxiv.org/abs/2406.11183

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On the Lucky and Displacement Statistics of Stirling Permutations

Autor: Colmenarejo, Laura, Dawkins, Aleyah, Elder, Jennifer, Harris, Pamela E., Harry, Kimberly J., Kara, Selvi, Smith, Dorian, Tenner, Bridget Eileen

Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we consider two extreme cases: extremely lucky Stirling permutations (tho

Externí odkaz: http://arxiv.org/abs/2403.03280

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Sandpile groups for cones over trees

Autor: Reiner, Victor, Smith, Dorian

Sandpile groups are a subtle graph isomorphism invariant, in the form of a finite abelian group, whose cardinality is the number of spanning trees in the graph. We study their group structure for graphs obtained by attaching a cone vertex to a tree.

Externí odkaz: http://arxiv.org/abs/2402.15453

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