Threshold functions for local properties of graphs: Triangles

Threshold functions for local properties of graphs: Triangles

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Article ID: iaor19921450
Country: Netherlands
Volume: 34
Start Page Number: 83
End Page Number: 105
Publication Date: Nov 1991
Journal: Discrete Applied Mathematics
Authors: , ,
Abstract:

The neighborhood of a vertex in a graph is the subgraph induced by the vertices adjacent to that vertex. A graph is locally triangular provided the neighborhood of each vertex in the graph contains a triangle. The authors answer a question posed by Palmer by determining a sharp threshold function for a graph to be locally triangular.

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