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On the Number of Triangles Contained in Certain Graphs

Published online by Cambridge University Press:  20 November 2018

P. Erdös
P. Erdös*
Affiliation:
University of Manitoba
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Let G(n;m) denote a graph of n vertices and m edges. Vertices of G will be denoted by x1, …, y1 …; edges will be denoted by (x, y) and triangles by (x, y, z). (G - x1-x2 - … - xk) will denote the graph G from which the vertices x1, …, xk and all edges incident to them have been omitted G - (xi, xj) denotes the graph G from which the edge (xi, xj) has been omitted.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 1 , March 1964 , pp. 53 - 56
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Erdös, P., Some theorems on graphs. Riveon lematematika, 10(1955), 13–16 (in Hebrew).Google Scholar
2. Erdös, P., On a theorem of Rademacher-Turán. Illinois Journal of Math. 6(1952), 122–127.Google Scholar
3. Turán, P., Eine Extremalaufgabe aus der Graphentheorie. Mat. Fiz. Lapok 48 (1941), 436–452 (in Hungarian). See also, P. Turán, On the theory of graphs. Colloquium Math. 3 (1954), 19-30.Google Scholar