Title:
|
Self-dual non-Hamiltonian polyhedra with only two types of faces (English) |
Author:
|
Owens, Peter John |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
48 |
Issue:
|
2 |
Year:
|
1998 |
Pages:
|
137-148 |
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Category:
|
math |
. |
MSC:
|
05C38 |
MSC:
|
05C45 |
MSC:
|
52B10 |
idZBL:
|
Zbl 0937.05052 |
idMR:
|
MR1647654 |
. |
Date available:
|
2009-09-25T11:28:52Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128975 |
. |
Reference:
|
[1] BONDY J. A.-MURTY U. S. R.: Graph Theory with Applications.Macmillan, London, 1976. Zbl 1226.05083, MR 0411988 |
Reference:
|
[2] GRÜNBAUM B.-WALTHER H.: Shortness exponents of families of graphs.J. Combin. Theorу Ser. A 14 (1973), 364-385. Zbl 0263.05103, MR 0314691 |
Reference:
|
[3] HARANT J.-WALTHER H.: Some new results about the shortness exponent in polyhedral graphs.Časopis Pěst. Mat. 112 (1987), 114-122. Zbl 0642.05039, MR 0897639 |
Reference:
|
[4] HARANT J.-OWENS P. J.-TKÁČ M.-WALTHER H.: 5-regular 3-polytopal graphs with edges of only two types and shortness exponents less than one.Discгete Math. 150 (1996), 143-153. Zbl 0852.05056, MR 1392727 |
Reference:
|
[5] JENDROĽ S.-OWENS P. J.: Pentagonal 3-polytopal graphs with edges of only two types and shortness parameters.Discrete Math. 137 (1995), 251-263. Zbl 0823.05035, MR 1312457 |
Reference:
|
[6] OWENS P. J.: Regular planar graphs with faces of only two types and shortness parameters.J. Graph Theory 8 (1984), 253-275. Zbl 0541.05037, MR 0742879 |
Reference:
|
[7] OWENS P. J.: Shortness parameters for planar graphs with faces of only one type.J. Graph Theory 9 (1985), 381-395. Zbl 0584.05047, MR 0812405 |
Reference:
|
[8] OWENS P. J.-WALTHER H.: Hamiltonicity in multitriangular graphs.Discuss. Math. - Graph Theory 15 (1995), 77-88. Zbl 0831.05040, MR 1344538 |
Reference:
|
[9] TKÁČ M.: On shortness coefficients of simple 3-polytopal graphs with only one type of faces besides triangles.Discrete Math. 128 (1994), 407-413. Zbl 0798.05018, MR 1271885 |
Reference:
|
[10] WALTHER H.: Note on two problems of J. Zaks concerning hamiltonian 3-polytopes.Discrete Math. 33 (1981), 107-109. Zbl 0476.05051, MR 0597235 |
Reference:
|
[11] WALTHER H.: Longest cycles in polyhedral graphs.Israel J. Math. 83 (1993), 203-212. Zbl 0784.05059, MR 1239722 |
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