Construction of convex continuations for functions defined on a hypersphere

DOI10.1007/BF02742066zbMath0915.90224OpenAlexW2093707245MaRDI QIDQ1280936

Yu. G. Stoyan, O. A. Emets, O. A. Valuiskaya, S. V. Yakovliev

Publication date: 5 July 1999

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02742066

zbMATH Keywords

permutation polyhedronarrangement polyhedronexistence of convex continuationsfunctions defined on continua

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Combinatorial optimization (90C27)

Related Items (9)

Continuous Approaches to the Unconstrained Binary Quadratic Problems ⋮ Theory and methods of Euclidian combinatorial optimization: current status and prospects ⋮ Analysis of mathematical models and methods of solving combinatorial optimization problems on game-type permutations ⋮ Properties of combinatorial optimization problems over polyhedral-spherical sets ⋮ Continuous representations and functional extensions in combinatorial optimization ⋮ Classes of lexicographic equivalence in Euclidean combinatorial optimisation on arrangements ⋮ Unnamed Item ⋮ Games with combinatorial constraints ⋮ A nonreducible system of constraints of a combinatorial polyhedron in a linear-fractional optimization problem on arrangements

Cites Work

• The theory of convex continuations of functions at the vertices of convex polygons
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