Max Bartels †

All two dimensional links are null homotopic Arthur Bartels

We show that any number of disjointly embedded 2–spheres in 4–space can be pulled apart by a link homotopy, ie, by a motion in which the 2–spheres stay disjoint but are allowed to self-intersect. AMS Classification numbers Primary: 57Q45

Random Max 2-sat and Max Cut

Given a 2-SAT formula F consisting of n variables and b n random clauses, what is the largest number of clauses maxF satisfiable by a single assignment of the variables? We bound the answer away from the trivial bounds of 34 n and n. We prove that for < 1, the expected number of clauses satisfiable is b n o(1); for large , it is ( 34 + (p ))n; for = 1 + ", it is at least (1 + " O("3))n and at m...

Modelling Max-CSP as Partial Max-SAT

We define a number of original encodings that map MaxCSP instances into partial Max-SAT instances. Our encodings rely on the well-known direct and support encodings from CSP into SAT. Then, we report on an experimental investigation that was conducted to compare the performance profile of our encodings on random binary Max-CSP instances. Moreover, we define a new variant of the support encoding...

A Review on Novel Approach for MRI Image Detection using Kochanek-Bartels Splines with Masking Algorithm

Encryption of image plays a very important role, it helps to save the image from the unauthorized attack. Image processing usually refers to digital image processing, but optical and analog image processing also are possible. MRI is widely used in pre operative and post operative evaluation of the patients. Magnetic Resonance Imaging (MRI) is a powerful visualization technique. It allows images...

Max Wellington