recently many studies have been done on different issues of using multiple antennas at transmit and receive sides of a radar system in a mimo (multiple input multiple output) configuration. in addition, for the electronic warfare‟s purposes, the utilization of available signals of the environment to detect the targets has gained considerable attention in recent years. such passive radars use th...

We give a combinatorial description of the toric ideal invariants Cavender-Farris-Neyman model with molecular clock (CFN-MC) on rooted binary phylogenetic tree and prove results about polytope associated to this ideal. Key polyhedral structure include that number vertices is Fibonacci number, facets can be described using “cluster” underlying tree, volume equal an Euler zig-zag number. The CFN-...

The Generalized Discretizable Molecular Distance Geometry Problem is a distance geometry problems that can be solved by a combinatorial algorithm called “Branch-and-Prune”. It was observed empirically that the number of solutions of YES instances is always a power of two. We give a proof that this event happens with probability one.