Queue layouts of planar 3-trees

JM Alam, MA Bekos, M Gronemann, M Kaufmann… - Algorithmica, 2020 - Springer
A queue layout of a graph G consists of a linear order of the vertices of G and a partition of
the edges of G into queues, so that no two independent edges of the same queue are …

Product structure of graph classes with bounded treewidth

R Campbell, K Clinch, M Distel, JP Gollin… - Combinatorics …, 2024 - cambridge.org
Product structure of graph classes with bounded treewidth Page 1 Combinatorics, Probability
and Computing (2023), 1–26 doi:10.1017/S0963548323000457 ARTICLE Product structure of …

On the queue-number of graphs with bounded tree-width

V Wiechert - arxiv preprint arxiv:1608.06091, 2016 - arxiv.org
A queue layout of a graph consists of a linear order on the vertices and an assignment of the
edges to queues, such that no two edges in a single queue are nested. The minimum …

Tree-partitions with bounded degree trees

M Distel, DR Wood - 2021-2022 MATRIX Annals, 2024 - Springer
A tree-partition of a graph G is a partition of V (G) such that identifying the vertices in each
part gives a tree. It is known that every graph with treewidth k and maximum degree Δ has a …

[HTML][HTML] On tree-partition-width

DR Wood - European Journal of Combinatorics, 2009 - Elsevier
A tree-partition of a graph G is a proper partition of its vertex set into 'bags', such that
identifying the vertices in each bag produces a forest. The width of a tree-partition is the …

On the parameterized complexity of computing tree-partitions

HL Bodlaender, C Groenland, H Jacob - arxiv preprint arxiv:2206.11832, 2022 - arxiv.org
We study the parameterized complexity of computing the tree-partition-width, a graph
parameter equivalent to treewidth on graphs of bounded maximum degree. On one hand …

[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 …

Product structure of graph classes with strongly sublinear separators

Z Dvořák, DR Wood - arxiv preprint arxiv:2208.10074, 2022 - arxiv.org
We investigate the product structure of hereditary graph classes admitting strongly sublinear
separators. We characterise such classes as subgraphs of the strong product of a star and a …

Beyond the classical monoscopic 3D in graph analytics: An experimental study of the impact of stereoscopy

N Greffard, F Picarougne… - 2014 IEEE VIS …, 2014 - ieeexplore.ieee.org
Popular in the nineties, 3D visualization has since garnered much criticisms. While
historically the vast majority of 3D visualization evaluations have been based on the …

Quasi-tree-partitions of graphs with an excluded subgraph

CH Liu, DR Wood - arxiv preprint arxiv:2408.00983, 2024 - arxiv.org
This paper studies the structure of graphs with given tree-width and excluding a fixed
complete bipartite subgraph, which generalises the bounded degree setting. We give a new …