Bicubic planar maps

William T. Tutte

Annales de l'institut Fourier (1999)

  • Volume: 49, Issue: 3, page 1095-1102
  • ISSN: 0373-0956

Abstract

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A numerical function of bicubic planar maps found by the author and colleagues is a special case of a polynomial due to François Jaeger.

How to cite

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Tutte, William T.. "Bicubic planar maps." Annales de l'institut Fourier 49.3 (1999): 1095-1102. <http://eudml.org/doc/75358>.

@article{Tutte1999,
abstract = {A numerical function of bicubic planar maps found by the author and colleagues is a special case of a polynomial due to François Jaeger.},
author = {Tutte, William T.},
journal = {Annales de l'institut Fourier},
keywords = {polynomial; alternating map; bicubic planar map; imbedding},
language = {eng},
number = {3},
pages = {1095-1102},
publisher = {Association des Annales de l'Institut Fourier},
title = {Bicubic planar maps},
url = {http://eudml.org/doc/75358},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Tutte, William T.
TI - Bicubic planar maps
JO - Annales de l'institut Fourier
PY - 1999
PB - Association des Annales de l'Institut Fourier
VL - 49
IS - 3
SP - 1095
EP - 1102
AB - A numerical function of bicubic planar maps found by the author and colleagues is a special case of a polynomial due to François Jaeger.
LA - eng
KW - polynomial; alternating map; bicubic planar map; imbedding
UR - http://eudml.org/doc/75358
ER -

References

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  1. [1] R.L. BROOKS, C.A.B. SMITH, A.H. STONE and W.T. TUTTE, The dissection of rectangles into squares, Duke Math. J., 7 (1940), 312-340. Zbl0024.16501MR2,153dJFM66.0181.01
  2. [2] R.L. BROOKS, C.A.B. SMITH, A.H. STONE and W.T. TUTTE, Leaky electricity and triangulated triangles, Philips Research Reports, 30 (1975), 205-219. 
  3. [3] F. JAEGER, A new invariant of plane bipartite cubic graphs, Discrete Maths., 101 (1992), 149-164. Zbl0767.05043MR94e:05090
  4. [4] N. ROBERTSON, D. SANDERS, P. SEYMOUR and R. THOMAS, The four colour Theorem, J. Comb. Theory B, 70 (1997), 2-44. Zbl0883.05056MR98c:05065
  5. [5] P.G. TAIT, Note on a theorem in geometry of position, Trans. Royal Soc. Edinburgh, 29 (1880), 657-660. Zbl12.0409.01JFM12.0409.01
  6. [6] W.T. TUTTE, On Hamiltonian Circuits, J. London Math. Soc., 21 (1946), 98-101. Zbl0061.41306MR8,397d
  7. [7] W.T. TUTTE, The dissection of equilateral triangles into equilateral triangles, Proc. Cambbridge Phil. Soc., 44 (1948), 463-482. Zbl0030.40903MR10,319c
  8. [8] W.T. TUTTE, On chromatic polynomials and the golden ratio, J. Comb. Theory, 9 (1970), 289-296. Zbl0209.55001MR42 #7557
  9. [9] W.T. TUTTE, Graph theory as I have known it, Chapter 4, Oxford University Press, 1998. Zbl0915.05041

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