For a graph G = (V, E), a stable set in G is a vertex set such that no pair of vertices in the set are connected by an edge. Stable set enumeration problems have been studied because of their applications to optimization, computational geometry, etc. However, the problem of speeding up enumeration algorithms for stable sets is still open. In this paper, we consider the problem of enumerating al...

We introduce two maximal non-abelian gauge xing conditions on the space of gauge orbits M for gauge theories over spaces with dimensions d 3. The gauge xings are complete in the sense that describe an open dense set M 0 of the space of gauge orbits M and select one and only one gauge eld per gauge orbit in M 0. There are not Gribov copies or ambiguities in these gauges. M 0 is a contractible ma...

We introduce a new cryptosystem with trapdoor decryption based on the diiculty of computing discrete logarithms in the class group of the non-maximal imaginary quadratic order O q , where q = q 2 , square-free and q prime. The trapdoor information is the conductor q. Knowledge of this trapdoor information enables one to switch to and from the ideal class group of the maximal order O, where the ...

We investigate static non-Abelian black hole solutions of anti–de Sitter (AdS) Einstein-Yang-Millsdilaton gravity, which is obtained as a consistent truncation of five-dimensional maximal gauged supergravity. If the dilaton is (consistently) set to zero, the remaining equations of motion, with a spherically-symmetric ansatz, may be derived from a superpotential. The associated first-order equat...

We consider linear inhomogeneous non-autonomous parabolic problems associated to sesquilinear forms, with discontinuous dependence of time. We show that for these problems, the property of maximal parabolic regularity can be extrapolated to time integrability exponents r 6= 2. This allows us to prove maximal parabolic L r-regularity for discontinuous non-autonomous second-order divergence form ...

We study embeddings of P mathvariant="normal">S mathvariant="normal...

We prove L boundedness of certain non-translation-invariant discrete maximal Radon transforms and discrete singular Radon transforms. We also prove maximal, pointwise, and L ergodic theorems for certain families of non-commuting operators.

[Purpose] This study aimed to examine the relationship between maximal lateral reaching distance on the affected side and weight shifting using the Multi-directional Reach Test in persons with stoke. [Subjects] Fifty-one chronic stroke participants were recruited from two rehabilitation hospitals. This study administered the Berg Balance Scale, Timed Up-and-Go, Trunk Impairment Scale, Modified ...

the paper is concerned with the bifurcation of limit cycles in general quadratic perturbations of a quadratic reversible and non-hamiltonian system, whose period annulus is bounded by an elliptic separatrix related to a singularity at infinity in the poincar'{e} disk. attention goes to the number of limit cycles produced by the period annulus under perturbations. by using the appropriate p...