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Structural Decomposition Model for the Evolution of AS-Level Internet Topologies
Modeling Internet graphs at the autonomous-system (AS) level is helpful for recognizing and predicting the development trend of evolving Internet topology from a macro perspective.
Bo Jiao, Wensheng Zhang
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ON P4-DECOMPOSITION OF GRAPHS [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decomposition of complete graphs into connected unicyclic graphs with eight edges and pentagon
A G-decomposition of the complete graph Kn is a family of pairwise edge disjoint subgraphs of Kn, all isomorphic to G, such that every edge of Kn belongs to exactly one copy of G.
Dalibor Froncek, O'Neill Kingston
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Decomposition of hypercube graphs into paths and cycles of length four
By a [Formula: see text]-decomposition of a graph G, we mean a partition of the edge set of G into p paths of length 4 and q cycles of length 4. In this paper, we give conditions for a [Formula: see text]-decomposition of the n-dimensional hypercube ...
D. Saranya, S. Jeevadoss
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Image Clustering Algorithm Based on Hypergraph Regularized Nonnegative Tucker Decomposition [PDF]
The internal geometry structure of high-dimensional data is ignored when nonnegative tensor decomposition is applied to image clustering.To solve this problem, we propose a Hypergraph regularized Nonnegative Tucker Decomposition(HGNTD) model by adding a ...
CHEN Luyao, LIU Qilong, XU Yunxia, CHEN Zhen
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Embedding rainbow trees with applications to graph labelling and decomposition [PDF]
A subgraph of an edge-coloured graph is called rainbow if all its edges have distinct colours. The study of rainbow subgraphs goes back more than two hundred years to the work of Euler on Latin squares.
R. Montgomery, A. Pokrovskiy, B. Sudakov
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DECOMPOSITIONS OF THE FREE PRODUCT OF GRAPHS [PDF]
We study the free product of rooted graphs and its various decompositions using quantum probabilistic methods. We show that the free product of rooted graphs is canonically associated with free independence, which completes the proof of the conjecture that there exists a product of rooted graphs canonically associated with each notion of ...
ACCARDI, LUIGI +2 more
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GSD: An R package for graph signal decomposition
Graph signals residing on the vertices of a graph have recently gained prominence in research of various fields, including neural networks, social networks, traffic patterns, and sensors.
Hyeonglae Cho, Hee-Seok Oh, Donghoh Kim
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A note on pm-compact bipartite graphs
A graph is called perfect matching compact (briefly, PM-compact), if its perfect matching graph is complete. Matching-covered PM-compact bipartite graphs have been characterized. In this paper, we show that any PM-compact bipartite graph G with δ (G) ≥ 2
Liu Jinfeng, Wang Xiumei
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Clique decompositions of multipartite graphs and completion of Latin squares [PDF]
Our main result essentially reduces the problem of finding an edge-decomposition of a balanced r-partite graph of large minimum degree into r-cliques to the problem of finding a fractional r-clique decomposition or an approximate one.
Barber, Ben +4 more
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