Self-dual non-Hamiltonian polyhedra with only two types of faces

Peter John Owens

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 2, page 137-148
  • ISSN: 0232-0525

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Owens, Peter John. "Self-dual non-Hamiltonian polyhedra with only two types of faces." Mathematica Slovaca 48.2 (1998): 137-148. <http://eudml.org/doc/31688>.

@article{Owens1998,
author = {Owens, Peter John},
journal = {Mathematica Slovaca},
keywords = {polyhedral graph; non-hamiltonian; self-dual; shortness exponent},
language = {eng},
number = {2},
pages = {137-148},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Self-dual non-Hamiltonian polyhedra with only two types of faces},
url = {http://eudml.org/doc/31688},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Owens, Peter John
TI - Self-dual non-Hamiltonian polyhedra with only two types of faces
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 2
SP - 137
EP - 148
LA - eng
KW - polyhedral graph; non-hamiltonian; self-dual; shortness exponent
UR - http://eudml.org/doc/31688
ER -

References

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  1. BONDY J. A.-MURTY U. S. R., Graph Theory with Applications, Macmillan, London, 1976. (1976) Zbl1226.05083MR0411988
  2. GRÜNBAUM B.-WALTHER H., Shortness exponents of families of graphs, J. Combin. Theorу Ser. A 14 (1973), 364-385. (1973) Zbl0263.05103MR0314691
  3. HARANT J.-WALTHER H., Some new results about the shortness exponent in polyhedral graphs, Časopis Pěst. Mat. 112 (1987), 114-122. (1987) Zbl0642.05039MR0897639
  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. (1996) Zbl0852.05056MR1392727
  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. (1995) Zbl0823.05035MR1312457
  6. OWENS P. J., Regular planar graphs with faces of only two types and shortness parameters, J. Graph Theory 8 (1984), 253-275. (1984) Zbl0541.05037MR0742879
  7. OWENS P. J., Shortness parameters for planar graphs with faces of only one type, J. Graph Theory 9 (1985), 381-395. (1985) Zbl0584.05047MR0812405
  8. OWENS P. J.-WALTHER H., Hamiltonicity in multitriangular graphs, Discuss. Math. - Graph Theory 15 (1995), 77-88. (1995) Zbl0831.05040MR1344538
  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. (1994) Zbl0798.05018MR1271885
  10. WALTHER H., Note on two problems of J. Zaks concerning hamiltonian 3-polytopes, Discrete Math. 33 (1981), 107-109. (1981) Zbl0476.05051MR0597235
  11. WALTHER H., Longest cycles in polyhedral graphs, Israel J. Math. 83 (1993), 203-212. (1993) Zbl0784.05059MR1239722

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