Global offensive k-alliance in bipartite graphs [PDF]
Let \(k \geq 0\) be an integer. A set \(S\) of vertices of a graph \(G=(V(G),E(G))\) is called a global offensive \(k\)-alliance if \(|N(v) \cap S| \geq |N(v) \cap S|+k\) for every \(v \in V(G)-S\), where \(0 \leq k \leq \Delta\) and \(\Delta\) is the ...
Mustapha Chellali, Lutz Volkmann
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Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases [PDF]
We deal with a symbolic approach to the cubic decomposition (CD) of polynomial sequences - presented in a previous article referenced herein - which allows us to compute explicitly the first elements of the nine component sequences of a CD.
Teresa A. Mesquita, Z. Da Rocha
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Text sentiment in the Age of Enlightenment: an analysis of spectator periodicals
Spectator periodicals contributed to spreading the ideas of the Age of Enlightenment, a turning point in human history and the foundation of our modern societies.
Philipp Koncar +5 more
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Note on the stability of first order linear differential equations [PDF]
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form \(y'(x)+f(x)y(x)+g(x)=0\) under some additional conditions.
Florin Bojor
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On nonoscillatory solutions of two dimensional nonlinear delay dynamical systems [PDF]
We study the classification schemes for nonoscillatory solutions of a class of nonlinear two dimensional systems of first order delay dynamic equations on time scales.
Özkan Öztürk, Elvan Akın
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A Note on the Maximum Difference Between Schweizer and Wolff's $\sigma$ and the Absolute Value of Spearman's $\rho$ [PDF]
In this note we correct an error on the possible maximum difference between the (measure of dependence) Schweizer and Wolff's sigma and the absolute value of the (measure of concordance) Spearman's rho given in [B. Schweizer and E. F.
Manuel Ubeda-Flores
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Novel Characterizations of $LM$-Fuzzy Open Operators [PDF]
In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space.
Fu-Gui Shi
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Impact of network density on cascade size and community growth
This paper addresses two critical questions related to (1) the co-evolutionary dynamics between information diffusion and network topology and (2) the relationship between viral content and social reinforcement.
Kazumasa Oida
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Characterization of Topological Fuzzy Sets in Hausdorff Spaces [PDF]
In this paper, we have characterized big data fuzzy sets and shown that topological data points form singleton fuzzy sets which are closed. Besides, fuzzy sets of topological data points are compact and have at least one closed point.
Benard Okelo, Allan Onyango
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Managing the Uncertainty: From Probability to Fuzziness, Neutrosophy and Soft Sets [PDF]
The present paper reviews and compares the main theories reported in the literature for managing the existing real life uncertainty by listing their advantages and disadvantages.
Michael Voskoglou
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