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Completion of the Mixed Unit Interval Graphs Hierarchy
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 betw...
IN - Informatika
- 2015 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Completion of the mixed unit interval graphs hierarchy
We describe the missing class of the hierarchy of mixed unit interval graphs. This class is generated by the intersection graphs of families of unit intervals show that this class lies strictly between unit int...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the Classes of Interval Graphs of Limited Nesting and Count of Lengths
In 1969, Roberts introduced proper and unit interval graphs and proved that these classes are equal. Natural generalizations of unit interval graphs called k-length interval graphs were considered...
IN - Informatika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
U-Bubble Model for Mixed Unit Interval Graphs and Its Applications: The MaxCut Problem Revisited
Interval graphs, intersection graphs of segments on a real line (intervals interval graphs, their proper subclass, where each interval has a unit length, has also been extensively studied...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Computing the branchwidth of interval graphs
We show NP-hardness of determining the branchwidth of split graphs and a polynomial time algorithm for interval graphs.
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Bounded Representations of Interval and Proper Interval Graphs
of interval and proper interval graphs. The input gives a graph G and in addition for each in quadratic time for proper interval graphs. Robert's Theorem states that the classes of proper int...
IN - Informatika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
U-Bubble Model for Mixed Unit Interval Graphs and Its Applications: The MaxCut Problem Revisited
extend this model to the class of mixed unit interval graphs and demonstrate for solving the MaxCut problem on mixed unit interval graphs. In addition, we derive a polynomial-time algorithm for certain subclasses ...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2020 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Extending Partial Representations of Interval Graphs
Interval graphs are intersection graphs of closed intervals of the real-line can be represented by closed intervals, i.e., whether G is an interval graph. There are several linear-time al...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Minimal Obstructions for Partial Representations of Interval Graphs
Interval graphs are intersection graphs of closed intervals. A generalization gives an interval graph with a partial representation specifying some pre-drawn intervals. We ask whether the...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Extending Partial Representations of Proper and Unit Interval Graphs
The recently introduced problem of extending partial interval representations asks, for an interval graph with some intervals pre-drawn by the input, whether the partial representation can be extended to a represen...
IN - Informatika
- 2014 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
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