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Parameterized Complexity of Perfectly Matched Sets [PDF]

open access: yes, 2022
For an undirected graph G, a pair of vertex disjoint subsets (A, B) is a pair of perfectly matched sets if each vertex in A (resp. B) has exactly one neighbor in B (resp. A). In the above, the size of the pair is |A| (= |B|).
Agrawal, Akanksha   +3 more
core   +1 more source

Parameterized complexity of conflict-free graph coloring [PDF]

open access: yes, 2021
Given a graph G, a q-open neighborhood confict-free coloring or q-ONCF-coloring is a vertex coloring c: V (G) {1, 2,..., q} such that for each vertex ν V (G) there is a vertex in N(v) that is uniquely colored from the rest of the vertices in N(ν).
Pieterse, Astrid   +2 more
core   +3 more sources

Computation Models for Parameterized Complexity [PDF]

open access: yesMathematical Logic Quarterly, 1997
AbstractA parameterized computational problem is a set of pairs (x,k), wherekis a distinguished item called “parameter”. FPT is the class of fixed‐parameter tractable problems: for any fixed value ofk, they are solvable in time bounded by a polynomial of degree α, where α is a constant not dependent on the parameter. In order to deal with parameterized
Cesati M., Di Ianni M.
openaire   +2 more sources

Counting Problems in Parameterized Complexity [PDF]

open access: yes, 2019
This survey is an invitation to parameterized counting problems for readers with a background in parameterized algorithms and complexity. After an introduction to the peculiarities of counting complexity, we survey the parameterized approach to counting ...
Curticapean, Radu
core   +1 more source

Parameterized Complexity of Geodetic Set [PDF]

open access: yes, 2020
A vertex set S of a graph G is geodetic if every vertex of G lies on a shortest path between two vertices in S. Given a graph G and k ∈ ℕ, the NP-hard Geodetic Set problem asks whether there is a geodetic set of size at most k.
Koana, Tomohiro, Kellerhals, Leon
core   +1 more source

Order Reconfiguration under Width Constraints

open access: yesJournal of Graph Algorithms and Applications, 2023
In this work, we consider the following order reconfiguration problem: Given a graph $G$ together with linear orders $\omega$ and $\omega'$ of the vertices of $G$, can one transform $\omega$ into $\omega'$ by a sequence of swaps of adjacent elements in ...
Emmanuel Arrighi   +3 more
doaj   +1 more source

The Parameterized Complexity of Positional Games [PDF]

open access: yesCoRR, 2017
To appear in the Proceedings of the 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)
Édouard Bonnet   +4 more
openaire   +6 more sources

How Bad is the Freedom to Flood-It?

open access: yesJournal of Graph Algorithms and Applications, 2019
${\rm F{\small IXED-}F{\small LOOD-}I{\small T}}$ and ${\rm F{\small REE-}F{\small LOOD-}I{\small T}}$ are combinatorial problems on graphs that generalize a very popular puzzle called Flood-It. Both problems consist of recoloring moves whose goal is to
Rémy Belmonte   +4 more
doaj   +1 more source

Parameterized Complexity of Superstring Problems [PDF]

open access: yesAlgorithmica, 2015
In the Shortest Superstring problem we are given a set of strings $S=\{s_1, \ldots, s_n\}$ and integer $\ell$ and the question is to decide whether there is a superstring $s$ of length at most $\ell$ containing all strings of $S$ as substrings. We obtain several parameterized algorithms and complexity results for this problem. In particular, we give an
Ivan Bliznets   +5 more
openaire   +3 more sources

Governing Complexity in World Politics

open access: yes, 2021
Complexity is the new global ontology for world politics. This article summarizes the characteristics of complexity and its implications for informed US state policy making.
Western, Jon, Haas, Peter M
core   +1 more source

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