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Median problems on wheels and cactus graphs

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This paper is dedicated to location problems on graphs. We propose a linear time algorithm for the 1-median problem on wheel graphs. Moreover, some general results for the 1-median problem are summarized and parametric median problems are investigated. These results lead to a solution method for the 2-median problem on cactus graphs, i.e., on graphs where no two cycles have more than one vertex in common. The time complexity of this algorithm is \(\mathcal O(n^2)\), where n is the number of vertices of the graph.

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Authors and Affiliations

  1. Department of Management Sciences, University of Waterloo, 200 University Avenue West, Waterloo, ON, Canada, N2L 3G1

    J. Hatzl

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  1. J. Hatzl
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Correspondence to J. Hatzl.

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Hatzl, J. Median problems on wheels and cactus graphs. Computing 80, 377–393 (2007). https://doi.org/10.1007/s00607-007-0238-y

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  • DOI: https://doi.org/10.1007/s00607-007-0238-y

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