Parameterized analysis and crossing minimization problems

M Zehavi - Computer Science Review, 2022 - Elsevier
In this survey/introductory article, we first present the basics of the field of Parameterized
Complexity, made accessible to readers without background on the subject. Afterwards, we …

[HTML][HTML] On the upward book thickness problem: combinatorial and complexity results

S Bhore, G Da Lozzo, F Montecchiani… - European Journal of …, 2023 - Elsevier
Among the vast literature concerning graph drawing and graph theory, linear layouts of
graphs have been the subject of intense research over the years, both from a combinatorial …

The parameterized complexity of extending stack layouts

T Depian, SD Fink, R Ganian, M Nöllenburg - arxiv preprint arxiv …, 2024 - arxiv.org
An $\ell $-page stack layout (also known as an $\ell $-page book embedding) of a graph is a
linear order of the vertex set together with a partition of the edge set into $\ell $ stacks (or …

On parameterized algorithms for fixed-order book thickness with respect to the pathwidth of the vertex ordering

Y Liu, J Chen, J Huang, J Wang - Theoretical Computer Science, 2021 - Elsevier
Given a graph G=(V, E) with a vertex ordering≺, the fixed-order book thickness problem asks
whether there is a page assignment σ such that<≺, σ> is a k-page book embedding of G …

On the upward book thickness problem: Combinatorial and complexity results

S Bhore, G Da Lozzo, F Montecchiani… - … Symposium on Graph …, 2021 - Springer
A long-standing conjecture by Heath, Pemmaraju, and Trenk states that the upward book
thickness of outerplanar DAGs is bounded above by a constant. In this paper, we show that …

Parameterized algorithms for queue layouts

S Bhore, R Ganian, F Montecchiani… - … Symposium on Graph …, 2020 - Springer
An h-queue layout of a graph G consists of a linear order of its vertices and a partition of its
edges into h queues, such that no two independent edges of the same queue nest. The …

[HTML][HTML] Parameterized complexity of graph planarity with restricted cyclic orders

G Liotta, I Rutter, A Tappini - Journal of Computer and System Sciences, 2023 - Elsevier
We study the complexity of testing whether a biconnected graph G=(V, E) is planar with the
constraint that some cyclic orders of the edges incident to its vertices are allowed while …

On book thickness parameterized by the vertex cover number

Y Liu, J Chen, J Huang - Science China. Information Sciences, 2022 - search.proquest.com
Book thickness for graphs forms a major theme in graph theory and has a broad application
in the fields of sorting permutations, fault tolerant VLSI design, parallel computing, and …

Parameterized complexity of graph planarity with restricted cyclic orders

G Liotta, I Rutter, A Tappini - … Workshop on Graph-Theoretic Concepts in …, 2022 - Springer
We study the complexity of testing whether a biconnected graph is planar with the additional
constraint that some cyclic orders of the edges incident to its vertices are allowed while …

Parameterized complexity of simultaneous planarity

SD Fink, M Pfretzschner, I Rutter - International Symposium on Graph …, 2023 - Springer
Given k input graphs, where each pair with i≠ j shares the same graph G, the problem
Simultaneous Embedding With Fixed Edges (SEFE) asks whether there exists a planar …