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20082026
most citedExponential-Time Approximation of Hard Problems

19 citations · 218 across the 100 of their papers we have counts for

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10 papers · 1 filter

cs.CC2023★ 1 cited

Conditional lower bounds for sparse parameterized 2-CSP: A streamlined proof

Karthik C. S., Dániel Marx, Marcin Pilipczuk +1

Assuming the Exponential Time Hypothesis (ETH), a result of Marx (ToC'10) implies that there is no time algorithm that can solve 2-CSPs with constra…

cs.FL2023

Simple and tight complexity lower bounds for solving Rabin games

Antonio Casares, Marcin Pilipczuk, Michał Pilipczuk +2

We give a simple proof that assuming the Exponential Time Hypothesis (ETH), determining the winner of a Rabin game cannot be done in time , where $k…

cs.DM2023

A polynomial bound on the number of minimal separators and potential maximal cliques in -free graphs of bounded clique number

Marcin Pilipczuk, Paweł Rzążewski

In this note we show a polynomial bound on the number of minimal separators and potential maximal cliques in -free graphs of bounded clique number.

cs.DS2023

Parameterized Complexity of MinCSP over the Point Algebra

George Osipov, Marcin Pilipczuk, Magnus Wahlström

The input in the Minimum-Cost Constraint Satisfaction Problem (MinCSP) over the Point Algebra contains a set of variables, a collection of constraints of the form , ,…

cs.DS2023

Max Weight Independent Set in sparse graphs with no long claws

Tara Abrishami, Maria Chudnovsky, Cemil Dibek +2

We revisit the recent polynomial-time algorithm for the MAX WEIGHT INDEPENDENT SET (MWIS) problem in bounded-degree graphs that do not contain a fixed graph whose every component i…

cs.DS2023★ 1 cited

Sparse induced subgraphs in P_6-free graphs

Maria Chudnovsky, Rose McCarty, Marcin Pilipczuk +2

We prove that a number of computational problems that ask for the largest sparse induced subgraph satisfying some property definable in CMSO2 logic, most notably Feedback Vertex Se…