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On a problem of J. Zaks concerning 5-valent 3-connected planar graphs

✍ Scribed by Stanislav Jendroľ

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
385 KB
Volume
50
Category
Article
ISSN
0012-365X

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✦ Synopsis

Recently J. Zaks formulated the following Eberhard-type problem: Let (Ps, P6 .... ) be a finite sequence of nonnegative integers; does there exist a 5-valent 3-connected planar graph G such that it has exactly Pk k-gons for all k ~> 5, m i of its vertices meet exactly i triangles, 4 ~< i <~ 5, and m4+2ms=24+3 ~ (k-4)pk ?

This paper brings a solution to the problem, and similar problems are considered as well.

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