Semide nite Programming and Graph
نویسندگان
چکیده
Semideenite relaxations are used to approximate the problem of partitioning a graph into equally sized components. The relaxations extend previous eigenvalue based models, and combine semideenite and polyhedral approaches. Computational results on graphs with several hundred vertices are given, and indicate that semideenite relaxations approximate the equipartition problem quite well.
منابع مشابه
Symmetric primal dual path following algorithms for semide nite programming
We propose a framework for developing and analyzing primal dual interior point algorithms for semide nite programming This framework is an extension of the v space approach that was de veloped by Kojima et al for linear complementarity problems The extension to semide nite programming allows us to interpret Nesterov Todd type directions as Newton search direc tions Our approach does not involve...
متن کاملSemideenite Programming
In semide nite programming one minimizes a linear function subject to the constraint that an a ne combination of symmetric matrices is positive semide nite. Such a constraint is nonlinear and nonsmooth, but convex, so semide nite programs are convex optimization problems. Semide nite programming uni es several standard problems (e.g., linear and quadratic programming) and nds many applications ...
متن کاملSemide nite programming relaxations for the graph partitioning problem (
A new semide nite programming, SDP, relaxation for the general graph partitioning problem, GP, is derived. The relaxation arises from the dual of the (homogenized) Lagrangian dual of an appropriate quadratic representation of GP. The quadratic representation includes a representation of the 0,1 constraints in GP. The special structure of the relaxation is exploited in order to project onto the ...
متن کاملPolynomial Primal Dual Cone Affine Scaling for Semidefinite Programming
Semide nite programming concerns the problem of optimizing a linear function over a section of the cone of semide nite matrices In the cone a ne scaling approach we replace the cone of semide nite matrices by a certain inscribed cone in such a way that the resulting optimization problem is analytically solvable The now easily obtained solution to this modi ed problem serves as an approximate so...
متن کاملA spectral bundle method with bounds
Semide nite relaxations of quadratic 0-1 programming or graph partitioning problems are well known to be of high quality. However, solving them by primaldual interior point methods can take much time even for problems of moderate size. The recent spectral bundle method of Helmberg and Rendl can solve quite eÆciently large structured equality-constrained semide nite programs if the trace of the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1995