The bandwidth minimization problem for caterpillars with hair length 3 is NP-complete
SIAM Journal on Algebraic and Discrete Methods
Discrete Mathematics - First Japan Conference on Graph Theory and Applications
NP-completeness of graph decomposition problems
Journal of Complexity
Bounded vertex colorings of graphs
Discrete Mathematics
Journal of Combinatorial Theory Series B
Restrictions of graph partition problems. Part I
Theoretical Computer Science
The $L(2,1)$-Labeling Problem on Graphs
SIAM Journal on Discrete Mathematics
Efficient and constructive algorithms for the pathwidth and treewidth of graphs
Journal of Algorithms
Theoretical Computer Science
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth
SIAM Journal on Computing
Scheduling with conflicts, and applications to traffic signal control
Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
Bounded vertex coloring of trees
Discrete Mathematics
Scheduling Computer and Manufacturing Processes
Scheduling Computer and Manufacturing Processes
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Edge dominating set and colorings on graphs with fixed clique-width
Discrete Applied Mathematics
Equitable and m-Bounded Coloring of Split Graphs
Selected papers from the 8th Franco-Japanese and 4th Franco-Chinese Conference on Combinatorics and Computer Science
On Complexity of Some Chain and Antichain Partition Problems
WG '91 Proceedings of the 17th International Workshop
The mutual exclusion scheduling problem for permutation and comparability graphs
Information and Computation
On Equitable Coloring of d-Degenerate Graphs
SIAM Journal on Discrete Mathematics
Distance constrained labelings of graphs of bounded treewidth
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Monadic Second Order Logic on Graphs with Local Cardinality Constraints
MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
Parameterized Complexity of Coloring Problems: Treewidth versus Vertex Cover
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
Decomposition, reformulation, and diving in university course timetabling
Computers and Operations Research
On the complexity of some colorful problems parameterized by treewidth
COCOA'07 Proceedings of the 1st international conference on Combinatorial optimization and applications
Monadic second order logic on graphs with local cardinality constraints
ACM Transactions on Computational Logic (TOCL)
On the complexity of some colorful problems parameterized by treewidth
Information and Computation
Parameterized complexity of coloring problems: Treewidth versus vertex cover
Theoretical Computer Science
Bounded coloring of co-comparability graphs and the pickup and delivery tour combination problem
Theoretical Computer Science
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A proper coloring of a graph G is equitable if the sizes of any two color classes differ by at most one. A proper coloring is l-bounded, when each color class has size at most l. We consider the problems to determine for a given graph G (and a given integer l) whether G has an equitable (l-bounded) k-coloring. We prove that both problems can be solved in polynomial time on graphs of bounded treewidth, and show that a precolored version remains NP-complete on trees.