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Independence and Domination on Bounded-Treewidth Graphs: Integer, Rational, and Irrational Distances

new Abstract: The distance-d variants of Independent Set and Dominating Set problems have been extensively studied from different algorithmic viewpoints. In particular, the complexity of these problems are well understood on bounded-treewidth graphs [Katsikarelis, Lampis, and Paschos, Discret. Math 2022][Borradaile and Le, IPEC 2016]: given a tree decomposition of width t, the two problems can be solved in time $d^t \cdot n^{O(1)}$ and $(2d + 1)t \cdot n^{O(1)}$, respectively.

arXiv CS 6d ago

How Israel's air-defence network intercepts everything from ballistic missiles to drones

After a long pause of nearly two months in hostilities the Iranian regime fired eleven missiles at Israel. The Iranian missile barrage is said to be in response to Israeli strikes on Hezbollah targets in the southern suburbs od Lebanon's capital Beirut. The Israel Defence Forces (IDF) said it intercepted all the missiles and retaliated by carrying out airstrikes on military targets in western and central Iran.

Times of India 2d ago