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Including the Magnitude Variability of a Signal in the Ordinal Pattern Analysis [PDF]
EntropyOne of the most popular and innovative methods to analyse signals is by using Ordinal Patterns (OPs). The OP encoding is based on transforming a (univariate) signal into a symbolic sequence of OPs, where each OP represents the number of permutations ...
Melvyn Tyloo +2 more
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On k-complementing permutations of cyclically k-complementary graphs
Discrete Mathematics, 1996 Let \(K_n\) be a complete graph and \(H_1,H_2,\dots,H_k\) its isomorphic factorization where \(k>1\) and \(k\) divides \({1\over 2n} (n-1)\). Let \(\beta\) be a permutation on \(V(K_n)\) such that (by a suitable rearrangement of \(H_i\)) \(\beta: V(H_i)\to V(H_{i+1})\) is an isomorphism for \(i=1,2,\dots,k-1\). Then any isomorphical image of a factor \(
Bernaldez, Jose M.
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Self-complementing permutations of k-uniform hypergraphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Graphs and Algorithms A k-uniform hypergraph H = ( V; E) is said to be self-complementary whenever it is isomorphic with its complement (H) over bar = ( V; ((V)(k)) - E). Every permutation sigma of the set V such that sigma(e) is an edge of (H) over bar if and only if e is an element of E is called self-complementing.
Artur Szymański, Adam Pawel Wojda
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Brain Informatics, 2023 Mental wellbeing of university students is a growing concern that has been worsening during the COVID-19 pandemic. Numerous studies have gathered empirical data to explore the mental health impact of the pandemic on university students and investigate ...
Tianhua Chen
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Complementing permutations in finite lattices
Journal of Combinatorial Theory, Series B, 1977 AbstractIn a finite lattice L for which the Möbius function is nonvanishing on all upper and lower intervals, we establish the existence of a permutation of L taking each lattice element to one of its complements.
Dowling, Thomas A
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Circularly permuted variants of two CG-specific prokaryotic DNA methyltransferases. [PDF]
PLoS ONE, 2018 The highly similar prokaryotic DNA (cytosine-5) methyltransferases (C5-MTases) M.MpeI and M.SssI share the specificity of eukaryotic C5-MTases (5'-CG), and can be useful research tools in the study of eukaryotic DNA methylation and epigenetic regulation.
Pál Albert +3 more
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Cyclic Partitions of Complete and Almost Complete Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2022 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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The Existence of Quasi Regular and Bi-Regular Self-Complementary 3-Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2016 A k-uniform hypergraph H = (V ;E) is called self-complementary if there is a permutation σ : V → V , called a complementing permutation, 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(
Kamble Lata N. +2 more
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Self-complementary hypergraphs and their self-complementing permutations
Electronic Notes in Discrete Mathematics, 2006 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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A signature-agnostic test for differences between tumor mutation spectra reveals carcinogen and ancestry effects [PDF]
Communications BiologyDespite dozens of tools to identify mutational signatures in cancer samples, there is not an established metric for quantifying whether signature exposures differ significantly between two heterogeneous groups of samples.
Samuel F. M. Hart +3 more
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