Sandpile groups of generalized de Bruijn and Kautz graphs and circulant
matrices over finite fields

Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields

他のバージョン（1件）を表示する

A maximal minor $M$ of the Laplacian of an $n$-vertex Eulerian digraph $\Gamma$ gives rise to a finite group $\mathbb{Z}^{n-1}/\mathbb{Z}^{n-1}M$ known as the sandpile (or critical) group $S(\Gamma)$ of $\Gamma$. We determine $S(\Gamma)$ of the generalized de Bruijn graphs $\Gamma=\mathrm{DB}(n,d)$...

書誌詳細
主要な著者:	Chan, S, Hollmann, H, Pasechnik, D
フォーマット:	Journal article
出版事項:	2014

類似資料

Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields
著者:: Chan, SH, 等
出版事項: (2014)

Sandpile groups of generalized de Bruijn and Kautz graphs and circulant matrices over finite fields
著者:: Hong, C, 等
出版事項: (2014)

Circulant matrices and sandpile groups of generalized de Bruijn graphs
著者:: Chan, S, 等
出版事項: (2013)

Automorphisms of necklaces and sandpile groups
著者:: Duzhin, S, 等
出版事項: (2014)

Approach to criticality in sandpiles
著者:: Levine, Lionel, 等
出版事項: (2011)

Sandpile monomorphisms and limits
著者:: Lang, Moritz, 等
出版事項: (2022-04-01)

Sandpile Models in the Large
著者:: Philippe Ruelle
出版事項: (2021-06-01)

The Hyper-Kautz Network: A New Scalable Product Network
著者:: Wenhong Wei, 等
出版事項: (2009-01-01)

Cyclic matrices in classical groups-over finite fields
著者:: Neumann, P, 等
出版事項: (2000)

Vector-Circulant Matrices and Vector-Circulant Based Additive Codes over Finite Fields
著者:: Somphong Jitman
出版事項: (2017-07-01)

Apollonian structure in the Abelian sandpile
著者:: Levine, Lionel, 等
出版事項: (2017)

Driving Sandpiles to Criticality and Beyond
著者:: Fey, Anne, 等
出版事項: (2010)

Time-Dependent Properties of Sandpiles
著者:: Punyabrata Pradhan
出版事項: (2021-05-01)

Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs
著者:: Ankan Ganguly, 等
出版事項: (2023-01-01)

An extended de Bruijn graph for feature engineering over biological sequential data
著者:: Mert Onur Cakiroglu, 等
出版事項: (2024-01-01)

Spectra of the directed de Bruijn graphs(有向de Bruijn图的谱)
著者:: YINJian-hong(殷剑宏)
出版事項: (2005-09-01)

Finite traces and representations of the group of infinite matrices over a finite field
著者:: Gorin, Vadim, 等
出版事項: (2018)

On the domination number of $t$-constrained de Bruijn graphs
著者:: Tiziana Calamoneri, 等
出版事項: (2022-08-01)

Applications of de Bruijn graphs in microbiome research
著者:: Keith Dufault‐Thompson, 等
出版事項: (2022-03-01)

Compression algorithm for colored de Bruijn graphs
著者:: Amatur Rahman, 等
出版事項: (2024-05-01)

DYNAMIC ASPECTS OF SANDPILE CELLULAR AUTOMATA
著者:: Christensen, K
出版事項: (1991)

The Sandpile Model: Optimal Stress and Hormesis
著者:: Martha Stark
出版事項: (2012-01-01)

Landslides, sandpiles, and self-organized criticality
著者:: S. Hergarten
出版事項: (2003-01-01)

Variable predictability in deterministic dissipative sandpile
著者:: M. G. Shnirman, 等
出版事項: (2010-02-01)

On the sandpile model of modified wheels II
著者:: Raza Zahid, 等
出版事項: (2020-12-01)

FEM modeling of the sandpile dip effect
著者:: Carvalho Isadora Cota, 等
出版事項: (2017-01-01)

Simplitigs as an efficient and scalable representation of de Bruijn graphs
著者:: Karel Břinda, 等
出版事項: (2021-04-01)

Cyclic matrices over finite fields
著者:: Neumann, P, 等
出版事項: (1995)

Comparing prediction efficiency in the BTW and Manna sandpiles
著者:: Denis Sapozhnikov, 等
出版事項: (2024-11-01)

Results and conjectures on the Sandpile Identity on a lattice
著者:: Arnaud Dartois, 等
出版事項: (2003-01-01)

Determining Genus From Sandpile Torsor Algorithms
著者:: Alex McDonough
出版事項: (2021-01-01)

Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
著者:: Tuomas Paatero, 等
出版事項: (2007-01-01)

Equalization of Loudspeaker and Room Responses Using Kautz Filters: Direct Least Squares Design
著者:: Karjalainen Matti, 等
出版事項: (2007-01-01)

XOR count and block circulant MDS matrices over finite commutative rings
著者:: Shakir Ali, 等
出版事項: (2024-10-01)

Integrating long-range connectivity information into de Bruijn graphs
著者:: Turner, I, 等
出版事項: (2018)

Persistency and Permanency of Splicing System via de Bruijn Graph
著者:: Yuhani, Yusof, 等
出版事項: (2016)

Alignment- and reference-free phylogenomics with colored de Bruijn graphs
著者:: Roland Wittler
出版事項: (2020-04-01)

Evaluating de Bruijn graph assemblers on 454 transcriptomic data.
著者:: Xianwen Ren, 等
出版事項: (2012-01-01)

Allison Busch and Thomas de Bruijn, ed., ‘Culture and Circulation.’
著者:: Bangha, I
出版事項: (2018)

Traces of powers of matrices over finite fields
著者:: Gorodetsky, O, 等
出版事項: (2021)