Browsing by Publisher "UNIV POLITEHNICA BUCHAREST, SCI BULL"

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    MEAN RUPTURE DEGREE OF GRAPHS
    (UNIV POLITEHNICA BUCHAREST, SCI BULL) Aslan, E; Bacak-Turan, G
    The vulnerability shows the resistance of the network until communication breakdown after the disruption of certain stations or communication links. We introduce a new graph parameter, the mean rupture degree. Let G be a graph of order p and S be a subset of V(G). The graph G-S contains at least two components and if each one of the components of G-S have orders p(1), p(2), ..., p(k), then m(G-S) = Sigma(k)(i=1)p(i)(2)/Sigma(k)(i=1)p(i). Formally, the mean rupture degree of a graph G, denoted mr(G), is defined as mr(G)= max{omega(G-S)-vertical bar S vertical bar-m(G-S): S subset of V(G), omega(G-S)>1} where omega(G-S) denote the number of components. In this paper, the mean rupture degree of some classes of graphs are obtained and the relations between mean rupture degree and other parameters are determined.
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    FUZZY TRIGONOMETRIC KOROVKIN TYPE APPROXIMATION VIA POWER SERIES METHODS OF SUMMABILITY
    (UNIV POLITEHNICA BUCHAREST, SCI BULL) Yavuz, E
    We prove a fuzzy trigonometric Korovkin type approximation theorem via power series methods of summability and give a related approximation result for periodic fuzzy continuous functions by means of fuzzy modulus of continuity. An illustrative example concerning fuzzy Abel-Poisson convolution operator is also constructed.