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Graph Neural Network for Protein–Protein Interaction Prediction: A Comparative Study
Proteins are the fundamental biological macromolecules which underline practically all biological activities. Protein–protein interactions (PPIs), as they are known, are how proteins interact with other proteins in their environment to perform biological
Hang Zhou +4 more
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Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
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Eccentricity terrain of δ-hyperbolic graphs [PDF]
22 pages, 4 ...
Dragan, Feodor F., Guarnera, Heather M.
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Graph Representation Learning Method Based on Neural Ranking with Embedded Hyperbolic Layer [PDF]
To address the high complexity of existing graph representation learning methods,this paper proposes a new graph representation learning method to improve the learning efficiency while maintaining the representation performance of graph features.The ...
TANG Suqin, LIU Xiaomei, YUAN Lei
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Hyperbolic graph generator [PDF]
Networks representing many complex systems in nature and society share some common structural properties like heterogeneous degree distributions and strong clustering. Recent research on network geometry has shown that those real networks can be adequately modeled as random geometric graphs in hyperbolic spaces.
Rodrigo Aldecoa +2 more
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A Hyperbolic-to-Hyperbolic Graph Convolutional Network [PDF]
CVPR2021 ...
Dai, Jindou +3 more
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Hyperbolicity on Graph Operators [PDF]
A graph operator is a mapping F : Γ → Γ ′ , where Γ and Γ ′ are families of graphs. The different kinds of graph operators are an important topic in Discrete Mathematics and its applications. The symmetry of this operations allows us to prove inequalities relating the hyperbolicity constants of a graph G and its graph operators ...
J. A. Méndez-Bermúdez +3 more
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Sur l'hyperbolicit\'e de graphes associ\'es au groupe de Cremona [PDF]
To reinforce the analogy between the mapping class group and the Cremona group of rank $2$ over an algebraic closed field, we look for a graph analoguous to the curve graph and such that the Cremona group acts on it non-trivially.
Anne Lonjou
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Knowledge Graph Completion Based on Entity Descriptions in Hyperbolic Space
Hyperbolic space has received extensive attention because it can accurately and concisely represent hierarchical data. Currently, for knowledge graph completion tasks, the introduction of exogenous information of entities can enrich the knowledge ...
Xiaoming Zhang +2 more
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Uniformizing surfaces via discrete harmonic maps [PDF]
We show that for any closed surface of genus greater than one and for any finite weighted graph filling the surface, there exists a hyperbolic metric which realizes the least Dirichlet energy harmonic embedding of the graph among a fixed homotopy class ...
Kajigaya, Toru, Tanaka, Ryokichi
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