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On the maximal number of independent triangles in graphs

✍ Scribed by G. A. Dirac

Book ID
112965378
Publisher
Vandenhoeck & Ruprecht
Year
1963
Tongue
German
Weight
273 KB
Volume
26
Category
Article
ISSN
0025-5858

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πŸ“œ SIMILAR VOLUMES

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## Abstract A maximal independent set of a graph __G__ is an independent set that is not contained properly in any other independent set of __G__. Let __i(G)__ denote the number of maximal independent sets of __G__. Here, we prove two conjectures, suggested by P. ErdΓΆs, that the maximum number of m

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Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,