Vertex-Colored Encompassing Graphs

@article{Hoffmann2014VertexColoredEG,
  title={Vertex-Colored Encompassing Graphs},
  author={Michael Hoffmann and Csaba D. T{\'o}th},
  journal={Graphs and Combinatorics},
  year={2014},
  volume={30},
  pages={933-947}
}
It is shown that every disconnected vertex-colored plane straight line graph with no isolated vertices can be augmented (by adding edges) into a connected plane straight line graph such that the new edges respect the coloring and the degree of every vertex increases by at most two. The upper bound for the increase of vertex degrees is best possible: there are input graphs that require the addition of two new edges incident to a vertex. The exclusion of isolated vertices is necessary: there are… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
4 Citations
18 References
Similar Papers

Similar Papers

Loading similar papers…