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Regular packings of regular graphs
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Amauri Gutiérrez, Anna S. Lladó
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Artist Similarity for Everyone: A Graph Neural Network Approach
Artist similarity plays an important role in organizing, understanding, and subsequently, facilitating discovery in large collections of music. In this paper, we present a hybrid approach to computing similarity between artists using graph neural ...
Filip Korzeniowski +2 more
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Regular Partitions of Regular Graphs [PDF]
In the study of the combinatorial structure of edge-graphs of convex polytopes one may ask whether a given graph possesses a partition consisting of certain kinds of subgraphs.In this paper we describe some special partitions of 3-valent and 4-valent graphs.
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Independent Distribution Regularization for Private Graph Embedding [PDF]
Learning graph embeddings is a crucial task in graph mining tasks. An effective graph embedding model can learn low-dimensional representations from graph-structured data for data publishing benefiting various downstream applications such as node ...
Song, Yangqiu, Hu, Qi
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On extension of regular graphs [PDF]
arXiv admin note: substantial text overlap with arXiv:1407 ...
Banerjee, Anirban, Bej, Saptarshi
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20 pages, 6 ...
Primoz Potocnik, Janos Vidali
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A graph G=(V,E) is called a unit-distance graph in the plane if there is an injective embedding of V in the plane such that every pair of adjacent vertices are at unit distance apart. If additionally the corresponding edges are non-crossing and all vertices have the same degree r we talk of a regular matchstick graph.
Sascha Kurz, Rom Pinchasi
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Nim-Regularity of Graphs [PDF]
Ehrenborg and Steingrímsson defined simplicial Nim, and defined Nim-regular complexes to be simplicial complexes for which simplicial Nim has a particular type of winning strategy. We completely characterize the Nim-regular graphs by the exclusion of two vertex-induced subgraphs, the graph on three vertices with one edge and the graph on five ...
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NONNEGATIVE matrix factorization (NMF) is an effective technique for dimensionality reduction of high-dimensional data for tasks such as machine learning and data visualization.
Jie Li, Yaotang Li, Chaoqian Li
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A covering projection from a graph \(G\) onto a graph \(H\) is a ``local isomorphism'': a mapping from the vertex set of \(G\) onto the vertex set of \(H\) such that, for every \(v\in V(G)\), the neighborhood of \(v\) is mapped bijectively onto the neighborhood (in \(H\)) of the image of \(v\).
Jan Kratochvíl +2 more
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