Peter Gartland

most citedIndependent Set on P

_{k}

-Free Graphs in Quasi-Polynomial Time

5 citations · 5 across the 1 of their papers we have counts for

collaborators

4 papers

cs.DM2020

Dominated Minimal Separators are Tame (Nearly All Others are Feral)

Peter Gartland, Daniel Lokshtanov

A class $F$ of graphs is called {\em tame} if there exists a constant $k$ so that every graph in $F$ on $n$ vertices contains at most $O (n^{k})$ minimal separators, {\e…

cs.DS2020

Finding large induced sparse subgraphs in $C_{> t}$ -free graphs in quasipolynomial time

Peter Gartland, Daniel Lokshtanov, Marcin Pilipczuk +2

For an integer $t$ , a graph $G$ is called {\em{ $C_{> t}$ -free}} if $G$ does not contain any induced cycle on more than~ $t$ vertices. We prove the following statement: for every pair…

cs.DS2020★ 5 cited

Independent Set on P $_{k}$ -Free Graphs in Quasi-Polynomial Time

Peter Gartland, Daniel Lokshtanov

We present an algorithm that takes as input a graph $G$ with weights on the vertices, and computes a maximum weight independent set $S$ of $G$ . If the input graph $G$ excludes a pa…

math.CO2018

A New Characterization of $V$ -Posets

Joshua Cooper, Peter Gartland, Hays Whitlatch

In 2016, Hasebe and Tsujie gave a recursive characterization of the set of induced $N$ -free and bowtie-free posets; Misanantenaina and Wagner studied these orders further, naming t…

Dominated Minimal Separators are Tame (Nearly All Others are Feral)

Finding large induced sparse subgraphs in C>t​-free graphs in quasipolynomial time

Independent Set on Pk​-Free Graphs in Quasi-Polynomial Time

A New Characterization of V-Posets

Finding large induced sparse subgraphs in $C_{> t}$ -free graphs in quasipolynomial time

Independent Set on P $_{k}$ -Free Graphs in Quasi-Polynomial Time

A New Characterization of $V$ -Posets