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Article
Open AccessThe Space Complexity of Sum Labelling
A graph is called a sum graph if its vertices can be labelled by distinct positive integers such that there is an edge between two vertices if and only if the sum of their labels is the label of another vertex of...
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Chapter and Conference Paper
Finding Geometric Representations of Apex Graphs is NP-Hard
Planar graphs can be represented as intersection graphs of different types of geometric objects in the plane, e.g., circles (Koebe, 1936), line segments (Chalopin & Gonçalves, SODA 2009), L-shapes (Gonçalves et a...
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Chapter and Conference Paper
The Space Complexity of Sum Labelling
A graph is called a sum graph if its vertices can be labelled by distinct positive integers such that there is an edge between two vertices if and only if the sum of their labels is the label of another vertex of...
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Chapter and Conference Paper
Minimizing Branching Vertices in Distance-Preserving Subgraphs
It is \(\textsf {NP}\) NP ...