@CONFERENCE\{IMM2007-05297, author = "F. Anton and D. Mioc and C. Gold", title = "The Voronoi diagram of circles made easy", year = "2007", month = "jul", keywords = "Voronoi diagram, Delaunay graph, Vornoi diagram of circles, exact computation", booktitle = "International Symposium on Voronoi Diagrams in Science and Engineering", volume = "", series = "", editor = "", publisher = "{IEEE} Computer Society", organization = "", address = "School of Computing, University of Glamorgan, Pontypridd, Wales, {UK}", note = "Further details to come", url = "http://www2.compute.dtu.dk/pubdb/pubs/5297-full.html", abstract = "Proximity queries among circles could be effec- tively answered if the Delaunay graph for sets of circles could be computed in an efficient and exact way. In this paper, we first show a necessary and sufficient condition of connectivity of the Voronoi diagram of circles. Then, we show how the Delau- nay graph of circles (the dual graph of the Voronoi diagram of circles) can be computed exactly, and in a much simpler way, by computing the eigenval- ues of a two by two matrix." }