Skippy Home Page (Currently down, as of Feb 2013.Projects with similar features are Komposé (an Exposé clone for KDE3) and Compiz, the latter containing built-in Exposé-style functionality which can be activated by pressing F12. Hold Mod1 (aka the alt key) and skippy will only show the windows of the currently focused window's window group (like, all of gimp's windows, or all of kopete's windows), and if Skippy or Skippy-XD is compiled with Xinerama support and you have several heads, hold shift while pressing the hotkey to make it show the windows on all heads. There are also two or three modifiers you can use with the hotkey: hold Control and Skippy (not used in Skippy-XD) will update the snapshots of all the windows. The user can next choose a window with either the keyboard (by using the up, down, left and right keys) or the mouse and activate it by pressing the left mouse button or the return or spacebar key. That is, it is a graph with one vertex for each disk in the family, and with an edge between two vertices whenever the corresponding vertices lie within a unit distance of each other. After it is launched, the default hotkey for activating it is F11. In geometric graph theory, a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. Skippy (and Skippy-XD) usually needs to be compiled and installed from source, although binaries exist for some platforms (e.g., Ubuntu). Skippy-XD is a branch that provides 'live' (and updating) snapshots of the windows. It is a fullscreen task switcher that allows a user to quickly see open windows by two different sets of criteria, or to hide all windows and show the desktop without the need to click through many windows to find a specific target. Skippy is a window management tool for X11 similar to Mac OS X's Exposé feature. Both the MDS and the MCDS problems are known to be NP-complete.Linux and other Unix-like operating systems The former observation is used to develop a 1 2-approximation algorithm for the maximum 2-clique problem in unit disk graphs. The minimum connected dominating set (MCDS) problem seeks a connected dominating set of minimum size. It is shown that in a unit disk graph any 2-clique is 4-dominated and any 2-club is 3-dominated. A connected dominating set in G is a dominating set whose induced graph is connected. The minimum dominating set (MDS) problem seeks to find a dominating set in G of minimum size. 1 Introduction Given a set P of npoints in the plane and a radius r, a unit-disk graph G r(P) is an undirected graph whose vertex set is Psuch that an edge connects two points p q2Pif the Euclidean distance between pand qis at most r. For an undirected graph \(G=(V,E)\), a subset \(S\subseteq V\) is called a dominating set of G, if for any vertex \(v \in V\), either \(v \in S\) or there exists a node \(u \in S\) and \((u,v) \in E\). In this paper, we present an algorithm of O(b cnlogn) time and another algorithm of O(n54 log2 n) time. Almost three decades ago, an elegant polynomial-time algorithm was found for M AXIMUM C LIQUE on unit. This significantly improves the previous best bound of O ( n log 4 n) 1, 2. A (unit) disk graph is the intersection graph of closed (unit) disks in the plane. For disk graphs in the L 2 -metric, we can show that after O ( n log 2 n) preprocessing time we can solve the SSSP problem in O ( n log n) time. This problem has numerous real-life applications in facility location, wireless networking problems, and many more. Our results are algorithms that use the framework to efficiently solve the SSSP problem in intersection graphs. A nearly identical data structure called SkipNet was independently invented by Nicholas Harvey, Michael Jones, Stefan Saroiu, Marvin Theimer and Alec. They were invented in 2003 by James Aspnes and Gauri Shah. We aim to design subexponential-time FPT algorithms for fundamental graph problemssuch as Feedback Vertex Set, and Odd Cycle Transversalon disk graphs, a class simultaneously generalizing planar graphs and unit disk graphs. They were invented in 2003 by James Aspnes and Gauri Shah. The dominating set problem is a well-studied problem in combinatorial optimization. Skip graphs are a kind of distributed data structure based on skip lists.
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