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 a polynomial time algorithm to recognize graphs from this class and to produce a corresponding interval representation if one exists.
CITATION STYLE
Talon, A., & Kratochvil, J. (2015). Completion of the mixed unit interval graphs hierarchy. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9076, pp. 284–296). Springer Verlag. https://doi.org/10.1007/978-3-319-17142-5_25
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