On-line 3-chromatic graphs—II: critical graphs
Discrete Mathematics
Guaranteeing Fair Service to Persistent Dependent Tasks
SIAM Journal on Computing
A Coloring Algorithm for Interval Graphs
MFCS '89 Proceedings on Mathematical Foundations of Computer Science 1989
Developments from a June 1996 seminar on Online algorithms: the state of the art
Buffer minimization using max-coloring
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Scheduling with conflicts on bipartite and interval graphs
Journal of Scheduling - Special issue: On-line scheduling
Fundamenta Informaticae
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Within this paper, we consider the problem of on-line partitioning the sequence of jobs which are competing for non-sharable resources. As a result of partitioning we get the subsets of jobs that form separate instances of the on-line scheduling problem. The objective is to generate a partition into the minimum number of instances such that the response time of any job in each instance is bounded by a given constant. Our research is motivated by applications in scheduling multiprocessor jobs on dedicated processors and channel assignment in WDM networks.