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Shortness parameters of families of regular planar graphs with two or three types of face

โœ Scribed by P.J. Owens


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
1019 KB
Volume
39
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Regular planar graphs with faces of only
โœ P. J. Owens ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 931 KB

We construct a small non-Hamiltonian 3-connected trivalent planar graph whose faces are all 4-gons or 7-gons and show that the shortness coefficient of the class of such graphs is less than one. Then, by transforming non-Hamiltonian trivalent graphs into regular graphs of valency four or five, we ob

Pentagonal 3-polytopal graphs with edges
โœ Stanislav Jendrol'; Peter J. Owens ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 510 KB

We consider the class of pentagonal 3-polytopal graphs all of whose edges are incident either with two 3-valent vertices or with a 3-valent vertex and a q-valent vertex. For most values of q, (i) we find a small non-hamiltonian graph in the class and (ii) we show that the shortness exponent of the c

5-regular 3-polytopal graphs with edges
โœ J. Harant; P.J. Owens; M. Tkรกฤ; H. Walther ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

It is shown that, if q >/29 and q ~ 0 (mod 3), the infinite class of 5-regular 3-polytopal graphs whose edges are incident with either two triangles or a triangle and a q-gon contains nonhamiltonian members and even has shortness exponent less than one.