Given a graph $G=(V,E)$ and a positive integer $k$, an edge modification problem for a graph property $\Pi$ consists in deciding whether there exists a set $F$ of pairs of $V$ of size at most $k$ such that the graph $H=(V,E\vartriangle F)$ satisfies the property $\Pi$. In the $\Pi$ \emph{edge-completion problem}, the set $F$ is constrained to...
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2013 (v1)Journal articleUploaded on: February 28, 2023
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April 2019 (v1)Journal article
During the last years, several algorithmic meta-theorems have appeared (Bodlaender et al. [FOCS 2009], Fomin et al. [SODA 2010], Kim et al. [ICALP 2013]) guaranteeing the existence of linear kernels on sparse graphs for problems satisfying some generic conditions. The drawback of such general results is that it is usually not clear how to...
Uploaded on: December 4, 2022 -
June 18, 2003 (v1)Conference paper
The design of WDM optical networks is an issue for telecom operators since the spreading of this technology will not occur unless enough performance guarantees are provided. Motivated by the quest for efficient algorithms for the Routing and Wavelength Assignment problem (RWA), we address approximations of the fractional multicommodity flow...
Uploaded on: March 25, 2023