Extremal graphs for intersecting triangles

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Abstract

It is known that for a graph on n vertices [n2/4] + 1 edges is sufficient for the existence of many triangles. In this paper, we determine the minimum number of edges sufficient for the existence of k triangles intersecting in exactly one common vertex. © 1995 by Academic Press, Inc.

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Erdös, P., Füredi, Z., Gould, R. J., & Gunderson, D. S. (1995). Extremal graphs for intersecting triangles. Journal of Combinatorial Theory, Series B, 64(1), 89–100. https://doi.org/10.1006/jctb.1995.1026

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