Equitable Colorings of Bounded Treewidth Graphs

@inproceedings{Bodlaender2004EquitableCO,
  title={Equitable Colorings of Bounded Treewidth Graphs},
  author={Hans L. Bodlaender and Fedor V. Fomin},
  booktitle={MFCS},
  year={2004}
}
A proper coloring of a graph G is equitable if the sizes of any two color classes are differ by at most one. The related notion is l-bounded coloring where each of the color classes is of cardinality ≤ l. We consider the problems to determine for a given graph G (and a given integer l) whether G has an equitable (l-bounded) coloring. We prove that both problems can be solved in polynomial time on graphs of bounded treewidth. 
Highly Cited
This paper has 71 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper

Citations

Publications citing this paper.
Showing 1-10 of 44 extracted citations

Equitable Coloring On Mycielskian Of Wheels And Bigraphs ∗

K. Kalimuthu, Vernold Vivin Joseph, Akbar Ali Mohamed Moideen
-1
View 4 Excerpts
Highly Influenced

Algorithms for Balanced Graph Colorings with Applications in Parallel Computing

IEEE Transactions on Parallel and Distributed Systems • 2017
View 2 Excerpts

Competitive analysis for online scheduling in software-defined optical WAN

IEEE INFOCOM 2017 - IEEE Conference on Computer Communications • 2017
View 1 Excerpt

72 Citations

051015'07'10'13'16'19
Citations per Year
Semantic Scholar estimates that this publication has 72 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 31 references

Equitable and proportional coloring of trees

J. Comb. Theory, Ser. B • 1983
View 3 Excerpts
Highly Influenced

Coloring d-degenarate graphs equitable

A. V. Kostochka, K. Nakprasit, S. V. Pemmaraju
Manuscript • 2003
View 2 Excerpts

Bounded vertex coloring of trees

Discrete Mathematics • 2001
View 2 Excerpts

Scheduling Computer and Manufacturing Processes

J. Blazewicz, K. H. Ecker, E. Pesch, G. Schmidt, J. Weglarz
Springer, Berlin • 2001
View 1 Excerpt

The equitable coloring of graphs

K.-W. Lih
Handbook of Combinatorial Optimization, Vol. 3, Kluwer Acad. Publ., Boston, MA • 1998
View 1 Excerpt

Similar Papers

Loading similar papers…