Open Shop Scheduling to Minimize Finish Time
Journal of the ACM (JACM)
Graphs and Hypergraphs
Edge coloring planar graphs with two outerplanar subgraphs
SODA '91 Proceedings of the second annual ACM-SIAM symposium on Discrete algorithms
Distributed edge coloration for bipartite networks
SSS'06 Proceedings of the 8th international conference on Stabilization, safety, and security of distributed systems
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A minimum edge coloring of a bipartite graph is a partition of the edges into &Dgr; matchings, where &Dgr; is the maximum degree in the graph. Coloring algorithms are presented that use time O(min(¦E¦ &Dgr; log n, ¦E¦ @@@@n log n, n2log &Dgr;)) and space O(n&Dgr;). This compares favorably to the previous O(¦E¦ [equation] log &Dgr;) time bound. The coloring algorithms also find maximum matchings on regular (or semi-regular) bipartite graphs. The time bounds compare favorably to the O(¦E¦ @@@@n) matching algorithm, expect when [equation] ≤ &Dgr; ≤ @@@@n log n.