A charaterization of planar median graphs

@article{Peterin2006ACO,
  title={A charaterization of planar median graphs},
  author={Iztok Peterin},
  journal={Discussiones Mathematicae Graph Theory},
  year={2006},
  volume={26},
  pages={41-48}
}
Median graphs have many interesting properties. One of them is—in connection with triangle free graphs—the recognition complexity. In general the complexity is not very fast, but if we restrict to the planar case the recognition complexity becomes linear. Despite this fact, there is no characterization of planar median graphs in the literature. Here an additional condition is introduced for the convex expansion procedure that characterizes planar median graphs. 

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 12 REFERENCES

Median graphs : characterization , location theory and related structures

  • H. M. Mulder S. Klavžar
  • SIAM J . Discrete Math .
  • 1999

Median graphs: characterization

  • S. Klavžar, H. M. Mulder
  • location theory and related structures, J. Combin…
  • 1999
1 Excerpt

The expansion procedure for graphs

  • H. M. Mulder
  • Contemporary methods in graph theory 459–477…
  • 1990
1 Excerpt

Isometric subgraphs of Hamming graphs and d-convexity

  • V. D. Chepoi
  • (Russian) Kibernetika (Kiev) () 6–9; translation…
  • 1988
1 Excerpt

The Interval Function of a Graph (Mathematical Centre Tracts

  • H. M. Mulder
  • Mathematisch Centrum,
  • 1980
2 Excerpts

The structure of median graphs

  • H. M. Mulder
  • Discrete Math. 24
  • 1978
2 Excerpts

Similar Papers

Loading similar papers…