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The maximum internal spanning tree (MIST) problem is to find a spanning tree with maximum number of internal node for an undirected graph. It is a variation of the well-known minimum spanning tree problem and is NP-hard. Evolutionary algorithms (EAs) have been successfully applied to solve many NP-hard combinatorial optimization problems in numerical empirical studies. However, researchers know little about their performance guarantees from theory aspect. This paper designs a valid fitness function to guide the well-studied evolutionary algorithm, (1 + 1) EA , to optimize the MIST problem, and presents theoretical analysis to show that it can obtain a performance guarantee of 2 and 5/3 in expected runtime O (n m 2) and O (n m 4) , respectively. Moreover, this paper proves that the (1+1) EA can achieve a performance guarantee of 3 for a variation of the MIST problem, where each vertex is associated with a weight. In addition, comparison analyses on two family instance graphs are presented to show that (1 + 1) EA is better than two local search algorithms. This theoretical study provides insight into the process of (1 + 1) EA constructing a performance guarantee solution for the MIST problem. [ABSTRACT FROM AUTHOR]

Arctiin is a lignin isolated from Arctium lappa which has been known to have anti-viral and anti-inflammatory effects. The aim of this study is to explore the protective effect of arctiin on lipopolysaccharide (LPS)-induced inflammatory responses in acute lung injury (ALI) model of mice. Male BALB/c mice were pretreated with commercial arctiin (10, 20, and 40 mg/kg) 1 h prior to LPS challenge. Twelve hours later, airway inflammation was assessed. We assessed the effects of arctiin on the LPS-induced production of TNF-α, IL-6, and IL-1β in the bronchoalveolar lavage fluid (BALF). The lung wet-to-dry weight ratio, myeloperoxidase (MPO) activity, and inflammatory signaling pathway were also detected. Our results showed that arctiin not only significantly ameliorated LPS-stimulated lung histopathological changes but also reduced the lung MPO activity. Arctiin also dramatically decreased the production of TNF-α, IL-1β, and IL-6 in the BALF. In addition, arctiin significantly inhibited LPS-induced PI3K/Akt phosphorylation as well as NF-κB activation. In conclusion, our results suggested that arctiin protected against LPS-induced ALI through inhibiting PI3K/AKT/NF-κB signaling pathway. [ABSTRACT FROM AUTHOR]