Completion of the mixed unit interval graphs hierarchy [article]

Alexandre Talon, Jan Kratochvíl
2017 arXiv   pre-print
We describe the missing class of the hierarchy of mixed unit interval graphs, generated by the intersection graphs of closed, open and one type of half-open intervals of the real line. This class lies strictly between unit interval graphs and mixed unit interval graphs. We give a complete characterization of this new class, as well as quadratic-time algorithms that recognize graphs from this class and produce a corresponding interval representation if one exists. We also mention that the work
more » ... arXiv:1405.4247 directly extends to provide a quadratic-time algorithm to recognize the class of mixed unit interval graphs.
arXiv:1412.0540v4 fatcat:jy7padpelndpdl3cjzg5raxvdq