منابع مشابه
Strong Alliances in Graphs
For any simple connected graph $G=(V,E)$, a defensive alliance is a subset $S$ of $V$ satisfying the condition that every vertex $vin S$ has at most one more neighbour in $V-S$ than it has in $S$. The minimum cardinality of any defensive alliance in $G$ is called the alliance number of $G$, denoted $a(G)$. In this paper, we introduce a new type of alliance number called $k$-strong alliance numb...
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The odds of a current syndicate relationship between two lenders depend upon their previous alliances. The odds are significantly higher [lower] and strongest for a current lead–participant relationship with a continuation [reversal] of their previous roles. To illustrate, the odds are nearly four times higher when two lenders have allied in the previous 5 years. The strength of lead–participan...
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We consider complexity issues and upper bounds for defensive alliances and strong global offensive alliances in graphs. We prove that it is NP-complete to decide for a given 6-regular graph G and a given integer a, whether G contains a defensive alliance of order at most a. Furthermore, we prove that determining the strong global offensive alliance number γô(G) of a graph G is APX-hard for cubi...
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ژورنال
عنوان ژورنال: New Phytologist
سال: 2007
ISSN: 0028-646X,1469-8137
DOI: 10.1111/j.1469-8137.2007.02199.x