This survey concerns regular graphs that are extremal with respect to the number of independent sets and, more generally, graph homomorphisms. More precisely, in the family of of d-regular graphs, ...

In 1973, the prominent physicists Stephen Hawking, James Bardeen and Brandon Carter asserted that extremal black holes can’t exist in the real world — that there is simply no plausible way that they ...

Oxford University Press is a department of the University of Oxford. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide. OUP is the ...

In 1973, the prominent physicists Stephen Hawking, James Bardeen, and Brandon Carter asserted that extremal black holes can’t exist in the real world—that there is simply no plausible way that ...

Extremal Graph Theory and Dynamical Systems (REU) Contact Professor Darren Narayan [email protected] The Research Experiences for Undergraduates (REU) program supports active research participation by ...

The original version of this article implied that theorists are unable to simulate black holes closer than 30% away from being extremal. In fact, they can simulate near-extremal black holes, but their ...

In this paper, the authors refer to the axiomatic theory of risk and investigate the problem of formal verification of the expected shortfall (ES) model based on a sample ES. Recognizing the ...