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Global edge alliances in graphs
PublikacjaIn the paper we introduce and study a new problem of finding a minimum global edge alliance in a graph which is related to the global defensive alliance (Haynes et al., 2013; Hedetniemi, 2004) and the global defensive set (Lewoń et al., 2016). We proved the NP-completeness of the global edge alliance problem for subcubic graphs and we constructed polynomial time algorithms for trees. We found the exact values of the size of the...
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Life Science Alliance
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Tight bounds on global edge and complete alliances in trees
PublikacjaIn the talk the authors present some tight upper bounds on global edge alliance number and global complete alliance number of trees. Moreover, we present our NP-completeness results from [8] for global edge alliances and global complete alliances on subcubic bipartite graphs without pendant vertices. We discuss also polynomial time exact algorithms for finding the minimum global edge alliance on trees [7] and complete alliance...
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Mission impossible for cellular internalization: When porphyrin alliance with UiO-66-NH2 MOF gives the cell lines a ride
PublikacjaIs it possible to accelerate cell internalization by hybridization of nanomaterials? Herein we support the realization of using metal-organic frameworks (MOFs) with the assistance of rigid porphyrin structure (H2TMP) aimed at drug loading, drug release, relative cell viability, and targeted in vitro drug delivery. There are several MOFs, i.e., UiO-66-NH2 (125 ± 12.5 nm), UiO-66-NH2 @H2TMP (160 ± 14 nm), UiO-66-NH2 @H2TMP@DOX, and...
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Selection of form factors of machine carrying systems in reliance on the process duty
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The Strategic Partnership Between India and the United States of America and How China’s Influence Challenges the India-Us Alliance in the Indo-Pacific Region
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GROUPS OF GERMAN DOMESTIC APPLIANCE MANUFACTURERS ACCORDING TO NEW PRODUCT DEVELOPMENT PRACTICES
PublikacjaFinding the best way to develop new products has been always a hot topic for practitioners and academics. However, so far only a few of these kinds of studies have concentrated on a single industry. In this paper, we group German domestic appliance manufacturers with regards to their new product development (NPD) practices to discover their attitude to NPD effort. By conducting a survey we found that three different groups of manufacturers...
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Strategic balance in graphs
PublikacjaFor a given graph G, a nonempty subset S contained in V ( G ) is an alliance iff for each vertex v ∈ S there are at least as many vertices from the closed neighbourhood of v in S as in V ( G ) − S. An alliance is global if it is also a dominating set of G. The alliance partition number of G was defined in Hedetniemi et al. (2004) to be the maximum number of sets in a partition of V ( G ) such that each set is an alliance. Similarly,...
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Simultaneous functionalization and magnetization of biochar via NH3 ambiance pyrolysis for efficient removal of Cr (VI)
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Appliance of High Speed Camera during Industrial Exploitation on the Example of Static and Dynamic Tests of Steel Probes
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