edge cover

edge cover
A set of edges which touch all the vertices of a graph.

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  • Edge cover — In graph theory, an edge cover of a graph is a set of edges such that every vertex of the graph is incident to at least one edge of the set. In computer science, the minimum edge cover problem is the problem of finding an edge cover of minimum… …   Wikipedia

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

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  • Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… …   Wikipedia

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