Triangle-Free Graph

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High Quality Content by WIKIPEDIA articles! In the mathematical area of graph theory, a triangle-free graph is an undirected graph in which no three vertices form a triangle of edges. Triangle-free graphs may be equivalently defined as graphs with clique number 2, graphs with girth 4, graphs with no induced 3-cycle, or locally independent graphs. By Turán's theorem, the n-vertex triangle-free graph with the maximum number of edges is a complete bipartite graph in which the numbers of vertices on each side of the bipartition are as equal as possible. The triangle finding problem is the problem of determining whether a graph is triangle-free or not. When the graph does contain a triangle, algorithms are often required to output three vertices which form a triangle in the graph.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131139901
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131139901
    • Format Fachbuch
    • Titel Triangle-Free Graph
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 104
    • Genre Mathematik

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