![]() Partition into cliques is the same problem as coloring the complement of the given graph. Graph partition into subgraphs of specific types (triangles, isomorphic subgraphs, Hamiltonian subgraphs, forests, perfect matchings) are known NP-complete.NP-complete variants include the connected dominating set problem and the maximum leaf spanning tree problem. NP-complete special cases include the edge dominating set problem, i.e., the dominating set problem in line graphs. Degree-constrained spanning tree : ND1.Variants include the rural postman problem. The program is solvable in polynomial time if the graph has all undirected or all directed edges. Route inspection problem (also called Chinese postman problem) for mixed graphs (having both directed and undirected edges).Capacitated minimum spanning tree : ND5.Examples include biological or social networks, which contain hundreds, thousands and even billions of nodes in some cases (e.g. Graphs occur frequently in everyday applications. Many problems of this type can be found in Garey & Johnson (1979). As there are hundreds of such problems known, this list is in no way comprehensive. This is a list of some of the more commonly known problems that are NP-complete when expressed as decision problems. You can help by adding missing items with reliable sources. "Clean, simple & professional look & feel" - įacebook: Check out Cross DJ for laptop: is a dynamic list and may never be able to satisfy particular standards for completeness. "Beautiful design & faster performance" - DJ TechTools You aren't convinced yet? Hear what professionnals have to say: ***Due to copyright reasons, recording mixes with streamed tracks from SoundCloud is not possible. Harmonic mixing: keylock & key detection.Sampler: 8 (iPhone) to 12 pads (iPad), 72 samples.Morph effects: Phaser, X-Phaser, Jet, Crush, Bliss.Beat effects: Transform, Brake, Roll, Chopper.Essential effects: Hi-Pass, Low-Pass, Delay. ![]() Advanced audio: split audio + external mixer + sound card output.Automix: let Cross DJ mix your tracks automatically.Record & Share: HQ live recording of your mixes + share.MIDI controllers: Pioneer DDJ-WeGO1&2, Mixvibes U-Mix Control Pro I & II, Numark Mixtrack Pro I & II, Numark iDJ Live I & II, Hercules DJ Console RMX 2, Hercules DJ Control Instinct, Hercules DJ Control AIR, Vestax Spin2.Automix: Cross DJ mixes your tracks & play music automatically, from any sources (playlist, album, etc.).Split audio: pre-listen tracks in your headphones before mixing them.Customizable, manual pitch range (4 to 100%) and manual pitch bend.Quantize mode: hot cues & loops are automatically set on the beat.Stable sync: one-press & the 2 tracks never go out of phase.Accurate BPM detection of your music, down to the last decimal.Multichannel audio for USB compliant multichannel soundcard.External mixer: control EQs and crossfader with hardware mixers.Autogain : automatically equalizes the levels of 2 tracks + Autosync.Key detection: detect the key of the songs and know which tracks sound good together.Keylock mode: change BPM without affecting the tone.Record your mix & share it to SoundCloud, Instagram, Facebook & Twitter.Low latency: music reacts instantly to your actions Sampler: 72 samples, synced to the main player (In-App Purchase).Loops (16 to 1/32), slip loops, 16 large hot-cues pads.Audio FX: Hi & Low-Pass, Echo, Delay, Flanger, Chopper, Roll, Phaser, Brake & much more (In-App Purchase).Realistic scratch sound - as on real turntables.Sampler: 72 one-shot samples + 12 loops.Waveform view: synchronize your tracks and place cue points accurately Separate tabs: swipe to display different panels on each side.Sort your music library by title, artist, album, BPM or length.Industry standard DJ setup: 2 decks, crossfader, Cue/Play/Sync buttons.Start your dj career right now with the best dj app and reach your goal of becoming the next greatest DJ!Ĭross DJ offers many high-quality features to let you create the perfect mix! Your dream to mix the perfect dj set on your phone is finally possible thanks to Cross DJ! *FULL VERSION, ALL FX - NO ADDITIONAL PURCHASES, NO POP-UPS*
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