# On the complexity of making a distinguished vertex minimum or maximum degree by vertex deletion

@article{Mishra2015OnTC,
title={On the complexity of making a distinguished vertex minimum or maximum degree by vertex deletion},
author={Sounaka Mishra and Ashwin Pananjady and N. Safina Devi},
journal={J. Discrete Algorithms},
year={2015},
volume={33},
pages={71-80}
}
• Published in J. Discrete Algorithms 2015
• Mathematics, Computer Science
• In this paper, we investigate the approximability of two node deletion problems. Given a vertex weighted graph $G=(V,E)$ and a specified, or "distinguished" vertex $p \in V$, MDD(min) is the problem of finding a minimum weight vertex set $S \subseteq V\setminus \{p\}$ such that $p$ becomes the minimum degree vertex in $G[V \setminus S]$; and MDD(max) is the problem of finding a minimum weight vertex set $S \subseteq V\setminus \{p\}$ such that $p$ becomes the maximum degree vertex in \$G[V… CONTINUE READING

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