Results 21 to 30 of about 168,763 (311)
Monadic second-order definable graph orderings [PDF]
We study the question of whether, for a given class of finite graphs, one can define, for each graph of the class, a linear ordering in monadic second-order logic, possibly with the help of monadic parameters.
Achim Blumensath, Bruno Courcelle
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Knowledge-Enhanced Dual-Channel GCN for Aspect-Based Sentiment Analysis
As a subtask of sentiment analysis, aspect-based sentiment analysis (ABSA) refers to identifying the sentiment polarity of the given aspect. The state-of-the-art ABSA models are developed by using the graph neural networks to deal with the semantics and ...
Zhengxuan Zhang +4 more
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Testing hereditary properties of nonexpanding bounded-degree graphs [PDF]
We study graph properties that are testable for bounded-degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined graph property and graphs that are far from every graph having that property. It
Christian Sohler +5 more
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Reinhard Diestel, Daniela Kühn
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Graph Minors and Minimum Degree [PDF]
Let $\mathcal{D}_k$ be the class of graphs for which every minor has minimum degree at most $k$. Then $\mathcal{D}_k$ is closed under taking minors. By the Robertson-Seymour graph minor theorem, $\mathcal{D}_k$ is characterised by a finite family of minor-minimal forbidden graphs, which we denote by $\widehat{\mathcal{D}}_k$.
Gasper Fijavz, David R. Wood
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Vertex sparsifiers : new results from old techniques [PDF]
Given a capacitated graph $G = (V,E)$ and a set of terminals $K \subseteq V$, how should we produce a graph $H$ only on the terminals $K$ so that every (multicommodity) flow between the terminals in $G$ could be supported in $H$ with low congestion, and ...
Gupta, Anupam +10 more
core +1 more source
Bounds of Eigenvalues of K3,3-Minor Free Graphs
The spectral radius ρ(G) of a graph G is the largest eigenvalue of its adjacency matrix. Let λ(G) be the smallest eigenvalue of G. In this paper, we have described the K3,3-minor free graphs and showed that (A) let G be a simple graph with ...
Kun-Fu Fang
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Upgraded Thoth: Software for Data Visualization and Statistics
Thoth is a free desktop/laptop software application with a friendly graphical user interface that facilitates routine data-visualization and statistical-calculation tasks for astronomy and astrophysical research (and other fields where numbers are ...
Russ R. Laher +16 more
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On the predictibility of A-minor motifs from their local contexts
This study investigates the importance of the structural context in the formation of a type I/II A-minor motif. This very frequent structural motif has been shown to be important in the spatial folding of RNA molecules.
Coline Gianfrotta +4 more
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Graph model for the clustering of dark matter halos
We use network theory to study topological features in the hierarchical clustering of dark matter halos. We use public halo catalogs from cosmological N-body simulations and construct tree graphs that connect halos within main halo systems.
Daneng Yang, Hai-Bo Yu
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