Analysis of preflow push algorithms for maximum network flow
SIAM Journal on Computing
NP-completeness of graph decomposition problems
Journal of Complexity
Bounded vertex colorings of graphs
Discrete Mathematics
Proceedings of the first Malta conference on Graphs and combinatorics
Restrictions of graph partition problems. Part I
Theoretical Computer Science
Theoretical Computer Science
Restricted coloring models for timetabling
Proceedings of an international symposium on Graphs and combinatorics
Matching and multidimensional matching in chordal and strongly chordal graphs
Discrete Applied Mathematics
Bounded vertex coloring of trees
Discrete Mathematics
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A note on greedy algorithms for the maximum weighted independent set problem
Discrete Applied Mathematics
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
Information and Computation
Mutual exclusion scheduling with interval graphs or related classes, Part I
Discrete Applied Mathematics
Scheduling with conflicts: online and offline algorithms
Journal of Scheduling
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We consider the following problem of scheduling with agreements: a set of jobs must be scheduled non-preemptively on identical machines subject to constraints that only some specific jobs can be scheduled concurrently on different machines. These constraints are represented by an agreement graph and the aim is to minimize the makespan. This problem is NP-hard. We study the complexity of the problem for two machines and arbitrary bipartite agreement graphs, in particular we prove the NP-hardness of the open problem proposed in the literature which is the case of two machines with processing times at most 3. We propose list algorithms with empirical results for the problem in the general case.