Results 31 to 40 of about 46,387 (243)
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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Caro, Yair, Yuster, Raphael
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Unifying Two Graph Decompositions with Modular Decomposition [PDF]
Soumis \`a ISAAC ...
Bui-Xuan, Binh-Minh +3 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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The Balanced Decomposition Number of TK4 and Series-Parallel Graphs
A balanced colouring of a graph G is a colouring of some of the vertices of G with two colours, say red and blue, such that there is the same number of vertices in each colour. The balanced decomposition number f(G) of G is the minimum integer s with the
Fujita Shinya, Liu Henry
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Detour self-decomposition of corona product of graphs
Decomposition of a graph G is the collection of edge-disjoint subgraphs of G. The longest distance between any two vertices of G is its detour distance.
E Ebin Raja Merly, E Anlin Bena
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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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Monochromatic Clique Decompositions of Graphs
AbstractLet G be a graph whose edges are colored with k colors, and be a k‐tuple of graphs. A monochromatic ‐decomposition of G is a partition of the edge set of G such that each part is either a single edge or forms a monochromatic copy of in color i, for some .
Henry Liu, Oleg Pikhurko, Teresa Sousa
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Decompositions of triangle-dense graphs [PDF]
High triangle density -- the graph property stating that a constant fraction of two-hop paths belong to a triangle -- is a common signature of social networks. This paper studies triangle-dense graphs from a structural perspective. We prove constructively that significant portions of a triangle-dense graph are contained in a disjoint union of dense ...
Gupta, Rishi +2 more
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