Minimum Bisection Is NP-hard on Unit Disk Graphs
(2014)
Book Chapter
Díaz, J., & Mertzios, G. (2014). Minimum Bisection Is NP-hard on Unit Disk Graphs. In E. Csuhaj-Varjú, M. Dietzfelbinger, & Z. Ésik (Eds.), Mathematical foundations of computer science 2014 : 39th international symposium, MFCS 2014, Budapest, Hungary, August 25-29, 2014. Proceedings, part II (251-262). Springer Verlag. https://doi.org/10.1007/978-3-662-44465-8_22
In this paper we prove that the Min-Bisection problem is NP-hard on unit disk graphs, thus solving a longstanding open question.