Short covering codes arising from matchings in weighted graphs

DOI10.1090/S0025-5718-2012-02613-5zbMath1293.94135OpenAlexW1970925886MaRDI QIDQ4911918

Anderson Novaes Martinhão, Emerson L. Monte Carmelo

Publication date: 20 March 2013

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2012-02613-5

zbMATH Keywords

matchingfinite fieldcovering codesweighted graphsquare numberindependent vectors

Mathematics Subject Classification ID

Applications of graph theory (05C90) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Other combinatorial number theory (11B75) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Related Items (2)

New short coverings of \(\mathbb{F}_q^3\) from pairwise weakly linearly independent sets ⋮ Toroidal boards and code covering

Cites Work

• Extremal problems on sum-free sets and coverings in tridimensional spaces
• A covering problem over finite rings
• Efficient algorithms for variants of weighted matching and assignment problems
• Bounds for short covering codes and reactive tabu search
• On covering and coloring problems for rook domains
• Short coverings in tridimensional spaces arising from sum-free sets
• Short coverings and matching in weighted graphs
• A Combinatorial Problem in Matching
• On a Covering Problem Concerning Abelian Groups
• A Covering Theorem for Abelian Groups
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