Results 141 to 150 of about 3,685 (173)
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On Hypercubes in de Bruijn Graphs
Parallel Processing Letters, 1998We prove that the hypercube of odd dimension 2k + 1 is a subgraph of the de Bruijn graph of alphabet size d and diameter 2 if and only if d ≥ 3 · 2k-1. This complements previous results of Heydemann, Opatrny, and Sotteau (1994) and Andreae et al. (1995), thus yielding a complete solution of the problem of determining, for all integers m, n ≥ 2, the ...
Thomas Andreae, Martin Hintz
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De Bruijn Graphs and DNA Graphs.
2001In this paper we prove the NP-hardness of various recognition problems for subgraphs of De Bruijn graphs. In particular, the recognition of DNA graphs is shown to be NP-hard; DNA graphs are the vertex induced subgraphs of De Bruijn graphs over a four letter alphabet.
Pendavingh, Rudi +2 more
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2014
Genome assembly is usually abstracted as the problem of reconstructing a string from a set of its k-mers. This abstraction naturally leads to the classical de Bruijn graph approach—the key algorithmic technique in genome assembly. While each vertex in this approach is labeled by a string of the fixed length k, the recent genome assembly studies suggest
Yu Lin 0001, Pavel A. Pevzner
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Genome assembly is usually abstracted as the problem of reconstructing a string from a set of its k-mers. This abstraction naturally leads to the classical de Bruijn graph approach—the key algorithmic technique in genome assembly. While each vertex in this approach is labeled by a string of the fixed length k, the recent genome assembly studies suggest
Yu Lin 0001, Pavel A. Pevzner
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Wide diameters of de Bruijn graphs
Journal of Combinatorial Optimization, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jyhmin Kuo, Hung-Lin Fu
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2-diameter of de Bruijn graphs
Networks, 1996Summary: This paper shows that in the undirected binary de Bruijn graph of dimension \(n\), \(UB(n)\), which has diameter \(n\), there exist at least two internally vertex disjoint paths of length at most \(n\) between any two vertices. In other words, the 2-diameter of \(UB(n)\) is equal to its diameter \(n\).
Qiao Li +2 more
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Embedding Cartesian Products of Graphs into de Bruijn Graphs
Journal of Parallel and Distributed Computing, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreae, Thomas +2 more
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Spanners of de Bruijn and Kautz graphs
Information Processing Letters, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rabah Harbane, Carles Padró
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2015
We are studying a generalization of the de Bruijn graphs, with applications to storage. We use spectral methods to enumerate the Euler circuits in this graph, which correspond to (very long) strings accessing every string of fixed length exactly once, with the reader reset at regular intervals.
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We are studying a generalization of the de Bruijn graphs, with applications to storage. We use spectral methods to enumerate the Euler circuits in this graph, which correspond to (very long) strings accessing every string of fixed length exactly once, with the reader reset at regular intervals.
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J. Inf. Process. Cybern., 1994
Summary: The class GBG of the generalized de Bruijn graphs introduced here covers over the class BG of the de Bruijn graphs. Every graph of BG is the union of factors describing an activity of technical arrangements which are called \(k\)-shift-registers.
Zdzislaw Grodzki, Aleksander Wronski
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Summary: The class GBG of the generalized de Bruijn graphs introduced here covers over the class BG of the de Bruijn graphs. Every graph of BG is the union of factors describing an activity of technical arrangements which are called \(k\)-shift-registers.
Zdzislaw Grodzki, Aleksander Wronski
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Recoloring the Colored de Bruijn Graph
2018The colored de Bruijn graph, an extension of the de Bruijn graph, is routinely applied for variant calling, genotyping, genome assembly, and various other applications [11]. In this data structure, the edges are labeled with one or more colors from a set \(\{c_1, \dots , c_{\alpha } \}\), and are stored as a \(m \times \alpha \) matrix, where m is the ...
Bahar Alipanahi +2 more
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