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A Study on the Nourishing Number of Graphs and Graph Powers
Mathematics, 2015 Let \(\mathbb{N}_{0}\) be the set of all non-negative integers and \(\mathcal{P}(\mathbb{N}_{0})\) be its power set. Then, an integer additive set-indexer (IASI) of a given graph \(G\) is defined as an injective function \(f:V(G)\to \mathcal{P}(\mathbb{N}
Sudev Naduvath, Germina Augustine
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The Euclid Algorithm is totally gaussian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We consider Euclid’s gcd algorithm for two integers $(p, q)$ with $1 \leq p \leq q \leq N$, with the uniform distribution on input pairs. We study the distribution of the total cost of execution of the algorithm for an additive cost function $d$ on the ...
Brigitte Vallée
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Strong Integer Additive Set-valued Graphs: A Creative Review [PDF]
, 2015 For a non-empty ground set $X$, finite or infinite, the {\em set-valuation} or {\em set-labeling} of a given graph $G$ is an injective function $f:V(G) \to \mathcal{P}(X)$, where $\mathcal{P}(X)$ is the power set of the set $X$. A set-indexer of a graph $
K. A. Germina +3 more
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BMC Medical Informatics and Decision Making, 2021 Background Severity scores assess the acuity of critical illness by penalizing for the deviation of physiologic measurements from normal and aggregating these penalties (also called “weights” or “subscores”) into a final score (or probability) for ...
Yasser EL-Manzalawy +7 more
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Additive energies on discrete cubes
Discrete Analysis, 2023 One definition of additive combinatorics is that it is the study of subsets of (usually Abelian) groups. Two much studied parameters associated with a subset $A$ are the size of its sumset $A+A=\{a+b:a,b\in A\}$ (or the product set $A.A=\{a.b:a,b\in A\}$
Jaume de Dios Pont +3 more
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Approximate modularity: Kalton's constant is not smaller than 3 [PDF]
, 2020 Kalton and Roberts [Trans. Amer. Math. Soc., 278 (1983), 803--816] proved that there exists a universal constant $K\leqslant 44.5$ such that for every set algebra $\mathcal{F}$ and every 1-additive function $f\colon \mathcal{F}\to \mathbb R$ there exists
Gnacik, Michal +2 more
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Multifractal analysis of the irregular set for almost-additive sequences via large deviations [PDF]
, 2015 In this paper we introduce a notion of free energy and large deviations rate function for asymptotically additive sequences of potentials via an approximation method by families of continuous potentials.
Bomfim, Thiago, Varandas, Paulo
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Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2011 The paper deals with theoretical conception of value analysis of regions, municipal corporations and clusters. The subject of this paper is heterodox approach to sensitivity analysis of finite set of variables based on non-additive measure.
Mojmír Sabolovič
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Dieudonné's theorem for non-additive set functions
Journal of Mathematical Analysis and Applications, 2010 \({\mathcal A}\) is an algebra of subsets of a set \(X\), with a join semilattice \({\mathcal F} \subseteq{\mathcal A}\) and a meet semilattice \({\mathcal G} \subseteq{\mathcal A}\), \({\mathbf S} = ({\mathcal S},{\mathcal U})\) is a complete Hausdorff uniform space with an arbitrarily fixed point \(e\) and \(\mathcal{U}[e]\) a fundamental system of \(
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Molecular Genetics & Genomic Medicine, 2021 Background Long non‐coding RNA (lncRNA) plays an essential role in hepatitis B virus‐related hepatocellular carcinoma (HBV‐related HCC) occurrence and development. Single nucleotide polymorphism (SNP) may affect HBV‐related HCC susceptibility by altering
Qing Liu +12 more
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