We study alternating strand diagrams on the disk with an orbifold point. These are quotients by rotation of Postnikov disk, and we call them diagrams. associate a quiver potential to each diagram, in such way that its Jacobian algebra one associated covering diagram related skew-group construction. moreover realise this as endomorphism certain explicit cluster-tilting object. This is similar (a...

We present an algorithm taking a Kirby diagram of closed oriented $4$-manifold to trisection the same manifold. This provides us with large number examples for diagrams $4$-manifolds since many Kirby-diagrammatic descriptions are known. That being said, does not necessarily provide particularly efficient diagrams. also extend this work non-orientable case.

in this paper, a new online robot motion planner is developed for systematically exploring unknown environâ¬ments by intelligent mobile robots in real-time applications. the algorithm takes advantage of sensory data to find an obstacle-free start-to-goal path. it does so by online calculation of the generalized voronoi graph (gvg) of the free space, and utilizing a combination of depth-first an...