Exact Semidefinite Programming Bounds for Packing Problems
نویسندگان
چکیده
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 9 July 2020Accepted: 16 February 2021Published online: 25 May 2021Keywordssemidefinite programming, hybrid numeric-symbolic algorithm, spherical codes, packing problemsAMS Subject Headings52C17, 90C22Publication DataISSN (print): 1052-6234ISSN (online): 1095-7189Publisher: Society for Industrial and Applied MathematicsCODEN: sjope8
منابع مشابه
A semidefinite programming hierarchy for packing problems in discrete geometry
Packing problems in discrete geometry can be modeled as finding independent sets in infinite graphs where one is interested in independent sets which are as large as possible. For finite graphs one popular way to compute upper bounds for the maximal size of an independent set is to use Lasserre’s semidefinite programming hierarchy. We generalize this approach to infinite graphs. For this we int...
متن کاملExact SDP relaxations for classes of nonlinear semidefinite programming problems
An exact semidefinite linear programming (SDP) relaxation of a nonlinear semidefinite programming problem is a highly desirable feature because a semidefinite linear programming problem can efficiently be solved. This paper addresses the basic issue of which nonlinear semidefinite programming problems possess exact SDP relaxations under a constraint qualification. We do this by establishing exa...
متن کاملBounds for projective codes from semidefinite programming
We apply the semidefinite programming method to derive bounds for projective codes over a finite field.
متن کاملOptimal bounds for correlations via semidefinite programming
Nonlocal boxes (NLBs) are devices that are used to generate correlated bits between two spatially separated parties. If the generated correlation is weak, it can sometimes be distilled into a stronger correlation by repeated applications of the nonlocal box. We initiate here a study of the distillation of correlations for nonlocal boxes that output quantum states rather than classical bits. We ...
متن کاملOn semidefinite programming bounds for graph bandwidth
We propose two new lower bounds on graph bandwidth and cyclic bandwidth based on semidefinite programming (SDP) relaxations of the quadratic assignment problem. We compare the new bounds with two other SDP bounds in [A. Blum, G. Konjevod, R. Ravi, and S. Vempala, Semi-definite relaxations for minimum bandwidth and other vertex-ordering problems, Theoretical Computer Science, 235(1):25-42, 2000]...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Siam Journal on Optimization
سال: 2021
ISSN: ['1095-7189', '1052-6234']
DOI: https://doi.org/10.1137/20m1351692