- Priority Algorithms for Graph Optimization Problems.
- Allan Borodin, Joan Boyar, Kim S. Larsen, and Nazanin Mirmohammadi.
Theoretical Computer Science, 411(1): 239-258, 2010.
We continue the study of priority or "greedy-like" algorithms
as initiated in
[Borodin, Nielsen, Rackoff, "(Incremental) Priority Algorithms",
37 (2003), 295-326]
and as extended to graph theoretic problems in
[Davis, Impagliazzo, "Models of Greedy Algorithms for Graph Problems",
54 (2009), 269-317].
Graph theoretic problems pose some modeling problems that did not exist in the
original applications of
[Borodin et al. (2003)]
[Angelopoulos, Borodin, "On the Power of Priority Algorithms for Facility
Location and Set Cover", APPROX, Lecture Notes in Computer Science
2462 (2002), 26-39].
[Davis et al. (2009)],
we further clarify these concepts.
In the graph theoretic
setting, there are several natural input formulations for a given problem and
we show that priority algorithm bounds in general depend
on the input formulation. We study a variety of graph problems
in the context of
arbitrary and restricted priority models corresponding to
known "greedy algorithms".
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