Elimination of local bridges

Martin Juvan; Jože Marinček; Bojan Mohar

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 1, page 85-92
  • ISSN: 0232-0525

How to cite

top

Juvan, Martin, Marinček, Jože, and Mohar, Bojan. "Elimination of local bridges." Mathematica Slovaca 47.1 (1997): 85-92. <http://eudml.org/doc/34454>.

@article{Juvan1997,
author = {Juvan, Martin, Marinček, Jože, Mohar, Bojan},
journal = {Mathematica Slovaca},
keywords = {algorithm; graph; embedding; bridge; Kuratowski subgraph},
language = {eng},
number = {1},
pages = {85-92},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Elimination of local bridges},
url = {http://eudml.org/doc/34454},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Juvan, Martin
AU - Marinček, Jože
AU - Mohar, Bojan
TI - Elimination of local bridges
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 1
SP - 85
EP - 92
LA - eng
KW - algorithm; graph; embedding; bridge; Kuratowski subgraph
UR - http://eudml.org/doc/34454
ER -

References

top
  1. BOOTH K. S.-LUEKER G. S., Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-trees, J. Comput. System Sci. 13 (1976), 335-379. (1976) MR0433962
  2. CHIBA N.-NISHIZEKI T.-ABE S.-OZAWA T., A linear algorithm for embedding planar graphs using PQ-trees, J. Comput. System Sci. 30 (1985), 54-76. (1985) Zbl0605.68060MR0788831
  3. COOK S. A.-RECKHOW R. A., Time bounded random access machines, J. Comput. System Sci. 7 (1976), 354-375. (1976) MR0327074
  4. de FRAYSSEIX H.-ROSENSTIEHL P., A depth-first search characterization of planarity, Ann. Discrete Math. 13 (1982), 75-80. (1982) Zbl0497.05026MR0671906
  5. GROSS J. L.-TUCKER T. W., Topological Graph Theory, Wiley-Interscience, New York, 1987. (1987) Zbl0621.05013MR0898434
  6. HOPCROFT J. E.-TARJAN R. E., Efficient planarity testing, J. Assoc. Comput. Mach. 21 (1974), 549-568. (1974) Zbl0307.68025MR0359387
  7. JUVAN M.-MARINČEK J.-MOHAR B., A linear time algorithm for embedding graphs in the torus, (Submitted). 
  8. LEMPEL A.-EVEN S.-CEDERBAUM I., An algorithm for planarity testing of graphs, In: Theory of Graphs: International Symposium, Rome, July 1966 (P. Rosenstiehl, ed.), Gordon and Breach, New York, 1967, pp. 215-232. (1966) MR0220617
  9. MOHAR B., Convex representations of maps on the torus and other flat surfaces, Discrete Comput. Geom. 11 (1994), 83-95. (1994) Zbl0791.05029MR1244891
  10. MOHAR B., A linear time algorithm for embedding graphs in an arbitrary surface, SIAM J. Discrete Math. (To appear). Zbl0931.05025MR1666045
  11. OHTSUKI T., The two disjoint paths problem and wire routing design, In: Graph Theory and Algorithms (N. Saito, T. Nishizeki, eds.), Lecture Notes in Comput. Sci. 108, Springer,New York, 1980, pp. 207-216. (1980) 
  12. ROBERTSON N.-SEYMOUR P. D., An outline of a disjoint paths algorithm, In: Paths, Flows, and VLSI-Layout, (B. Korte, L. Lovasz, H. J. Promel, A. Schrijver, eds.), Springer-Verlag, Berlin, 267-292. Zbl0759.05055MR1083383
  13. VOSS H.-J., Cycles and Bridges in Graphs, Kluwer, Dordrecht, 1991. (1991) Zbl0731.05031MR1131525
  14. WILLIAMSON S. G., Embedding graphs in the plane - algorithmic aspects, Ann. Discrete Math. 6 (1980), 349-384. (1980) Zbl0451.05021MR0593547
  15. WILLIAMSON S. G., Depth-first search and Kuratowski subgraphs, J. Assoc. Comput. Mach. 31 (1984), 681-693. (1984) Zbl0632.68063MR0819162

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.