Characterization of 2 -minimally nonouterplanar join graphs

D. G. Akka; J. K. Bano

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 1, page 1-13
  • ISSN: 0862-7959

Abstract

top
In this paper, we present characterizations of pairs of graphs whose join graphs are 2-minimally nonouterplanar. In addition, we present a characterization of pairs of graphs whose join graphs are 2-minimally nonouterplanar in terms of forbidden subgraphs.

How to cite

top

Akka, D. G., and Bano, J. K.. "Characterization of $2$-minimally nonouterplanar join graphs." Mathematica Bohemica 126.1 (2001): 1-13. <http://eudml.org/doc/248869>.

@article{Akka2001,
abstract = {In this paper, we present characterizations of pairs of graphs whose join graphs are 2-minimally nonouterplanar. In addition, we present a characterization of pairs of graphs whose join graphs are 2-minimally nonouterplanar in terms of forbidden subgraphs.},
author = {Akka, D. G., Bano, J. K.},
journal = {Mathematica Bohemica},
keywords = {join graphs; minimally nonouterplanar; forbidden; homeomorphic; block; cut vertex; join graphs; minimally nonouterplanar; forbidden; homeomorphic; block; cut vertex},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterization of $2$-minimally nonouterplanar join graphs},
url = {http://eudml.org/doc/248869},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Akka, D. G.
AU - Bano, J. K.
TI - Characterization of $2$-minimally nonouterplanar join graphs
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 1
SP - 1
EP - 13
AB - In this paper, we present characterizations of pairs of graphs whose join graphs are 2-minimally nonouterplanar. In addition, we present a characterization of pairs of graphs whose join graphs are 2-minimally nonouterplanar in terms of forbidden subgraphs.
LA - eng
KW - join graphs; minimally nonouterplanar; forbidden; homeomorphic; block; cut vertex; join graphs; minimally nonouterplanar; forbidden; homeomorphic; block; cut vertex
UR - http://eudml.org/doc/248869
ER -

References

top
  1. Characterization of 2-minimally nonouterplanar semientire graphs, preprint, . MR1825854
  2. Planar composite graphs, An. Acad. Brasil. Ciênc. 43(2) (1971), 325–329. (1971) MR0307957
  3. Boolean operation on graphs, Math. Scand. 20 (1967), 45–51. (1967) MR0211900
  4. On semientire graphs, J. Math. Phys. Sci. 14 (1980), 585–588. (1980) MR0644066
  5. Characterization of join graphs with crossing number zero, preprint, . MR1829339
  6. Characterization of join graphs with crossing number 1, preprint, . 
  7. Minimally nonouterplanar graph and its complement, J. Math. Phys. Sci. 9 (1975), 77–81. (1975) Zbl0309.05110MR0371704
  8. On some properties of linear complexes, Mat. Sbornik 24 (1949), 63–188. (Russian) (1949) MR0035428

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.