FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 1, PAGES 159-171
S. A. Tishchenko
Abstract
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The problem of maximum size of a graph of diameter $3$
and maximum degree $3$ as a function of its Euler characteristics is
studied.
The negative solution of
an Erd\"os problem is obtained. A new approach to such problems is proposed
which consists in counting the paths between different pairs
of vertices in a graph.
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Last modified: May 10, 2001