Results 11 to 20 of about 665 (142)
A note on self-complementary 4-uniform hypergraphs [PDF]
We prove that a permutation \(\theta\) is complementing permutation for a \(4\)-uniform hypergraph if and only if one of the following cases is satisfied: (i) the length of every cycle of \(\theta\) is a multiple of \(8\), (ii) \(\theta\) has \(1\), \(2\)
Artur Szymański
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Vertex-transitive self-complementary uniform hypergraphs
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Primoz Potocnik, Mateja Sajna
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Self-complementary hypergraphs
In this thesis, we survey the current research into self-complementary hypergraphs, and present several new results. We characterize the cycle type of the permutations on n elements with order equal to a power of 2 which are k-complementing. The k-complementing permutations map the edges of a k-uniform hypergraph to the edges of its complement.
Gosselin, Shonda
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Self-complementary hypergraphs and their self-complementing permutations
Abstract A k –uniform hypergraph H = ( V ; E ) is called self-complementary if there is a permutation σ : V → V , called self-complementing , such that for every k –subset e of V , e ∈ E if and only if σ ( e ) ∉ E . In other words, H is isomorphic with H ′ = ( V ; ( V k ) −
Artur Szymanski, A. Pawel Wojda
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Vertex-transitive self-complementary uniform hypergraphs of prime order
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Shonda Gosselin
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SPLHRNMTF: robust orthogonal non-negative matrix tri-factorization with self-paced learning and dual hypergraph regularization for predicting miRNA-disease associations [PDF]
MicroRNAs (miRNAs) have been demonstrated to be closely related to human diseases. Studying the potential associations between miRNAs and diseases contributes to our understanding of disease pathogenic mechanisms.
Dong Ouyang +7 more
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Multi-Modal Enhancement Transformer Network for Skeleton-Based Human Interaction Recognition [PDF]
Skeleton-based human interaction recognition is a challenging task in the field of vision and image processing. Graph Convolutional Networks (GCNs) achieved remarkable performance by modeling the human skeleton as a topology.
Qianshuo Hu, Haijun Liu
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Self-complementary hypergraphs
A k-uniform hypergraph H = (V;E) is called self-complementary if there is a permutation σ: V → V, called self-complementing, such that for every k-subset e of V, e ∈ E if and only if σ(e) / ∈ E. In other words, H is isomorphic with H ′ = (V;
A. Pawel Wojda, Wojda, A.
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A note on k-uniform self-complementary hypergraphs of given order
We prove that a k-uniform self-complementary hypergraph of order n exists, if and only if
Artur Szymanski, A. Pawel Wojda
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Cyclic Partitions of Complete and Almost Complete Uniform Hypergraphs
We consider cyclic partitions of the complete k-uniform hypergraph on a finite set V, minus a set of s edges, s ≥ 0. An s-almost t-complementary k-hypergraph is a k-uniform hypergraph with vertex set V and edge set E for which there exists a permutation ...
Dilbarjot, Gosselin Shonda Dueck
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