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vertex covering number

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  • covering number — noun The number of vertices in a minimum vertex cover of a graph, often denoted as . See Also: edge covering number …   Wiktionary

  • Covering (graph theory) — In the mathematical discipline of graph theory, a covering (or cover) of a graph is a set of vertices (or edges) such that each edge (vertex) of the graph touches (is incident with) at least one element of the set.It is of mathematical interest… …   Wikipedia

  • Covering — may refer to: Mathematics In topology: Covering map, a function from one space to another with uniform local neighborhoods Cover (topology), a system of (usually, open or closed) sets whose union is a given topological space Lebesgue covering… …   Wikipedia

  • Vertex cover — In the mathematical discipline of graph theory, a vertex cover of a graph is a set of vertices such that each edge of the graph is incident to at least one vertex of the set. The problem of finding a minimum vertex cover is a classical… …   Wikipedia

  • Vertex cover problem — In computer science, the vertex cover problem or node cover problem is an NP complete problem and was one of Karp s 21 NP complete problems. It is often used in complexity theory to prove NP hardness of more complicated problems. Definition A… …   Wikipedia

  • number game — Introduction       any of various puzzles and games that involve aspects of mathematics.       Mathematical recreations comprise puzzles and games that vary from naive amusements to sophisticated problems, some of which have never been solved.… …   Universalium

  • Covering problem — In combinatorics and computer science, covering problems are computational problems that ask whether a certain combinatorial structure covers another, or how large the structure has to be to do that. Covering problems are minimization problems… …   Wikipedia

  • Intersection number (graph theory) — In the mathematical field of graph theory, the intersection number of a graph is the smallest number of elements in a representation of G as an intersection graph of finite sets. Equivalently, it is the smallest number of cliques needed to cover… …   Wikipedia

  • Complete bipartite graph — A complete bipartite graph with m = 5 and n = 3 Vertices n + m Edges mn …   Wikipedia

  • Graph property — In graph theory a graph property is any inherently graph theoretical property of graphs (formal definitions follow), distinguished from properties of graphs described in terms of various graph representations: graph drawings, data structures for… …   Wikipedia

  • Matching (graph theory) — In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices. It may also be an entire graph consisting of edges without common vertices. Covering packing dualities… …   Wikipedia

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