Max Swerdlow

Sir—a J Swerdlow and Colleagues Twinning, Cancer, and Genetics

(2) The number of children harmed by not receiving measles vaccine. We have no idea what this figure is, but it should be easy to discover with time. This question needs to be asked because its answer will help us all to do better in our reporting next time. One anxiety is why it took the Department of Health 2 weeks to send out a reassurance cascade message to general practitioners. And (3), a...

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...

Max Wellington

Max Neuburger