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Maximum Cut Parameterized by Crossing Number
[article]
2019
arXiv
pre-print
Given an edge-weighted graph G on n nodes, the NP-hard Max-Cut problem asks for a node bipartition such that the sum of edge weights joining the different partitions is maximized. We propose a fixed-parameter tractable algorithm parameterized by the number k of crossings in a given drawing of G. Our algorithm achieves a running time of O(2^k p(n + k)), where p is the polynomial running time for planar Max-Cut. The only previously known similar algorithm [8] is restricted to 1-planar graphs
arXiv:1903.06061v2
fatcat:cc7ynjtixrfehisgsxbmbrhapq