A survey on graph drawing beyond planarity

W Didimo, G Liotta, F Montecchiani - ACM Computing Surveys (CSUR), 2019 - dl.acm.org
Graph Drawing Beyond Planarity is a rapidly growing research area that classifies and
studies geometric representations of nonplanar graphs in terms of forbidden crossing …

Twin-width II: small classes

É Bonnet, C Geniet, EJ Kim, S Thomassé… - Proceedings of the 2021 …, 2021 - SIAM
The recently introduced twin-width of a graph G is the minimum integer d such that G has a d-
contraction sequence, that is, a sequence of| V (G)|–1 iterated vertex identifications for which …

[BOEK][B] Handbook of graph drawing and visualization

R Tamassia - 2013 - books.google.com
Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and
Applications The Handbook of Graph Drawing and Visualization provides a broad, up-to …

Planar graphs have bounded queue-number

V Dujmović, G Joret, P Micek, P Morin… - Journal of the ACM …, 2020 - dl.acm.org
We show that planar graphs have bounded queue-number, thus proving a conjecture of
Heath et al.[66] from 1992. The key to the proof is a new structural tool called layered …

Stack-number is not bounded by queue-number

V Dujmović, D Eppstein, R Hickingbotham, P Morin… - Combinatorica, 2022 - Springer
Stack-number is not bounded by queue-number Page 1 COMBINATORICA Bolyai Society –
Springer-Verlag 0209–9683/122/$6.00 c 2022 János Bolyai Mathematical Society and …

On linear layouts of graphs

V Dujmović, DR Wood - Discrete Mathematics & Theoretical …, 2004 - dmtcs.episciences.org
In a total order of the vertices of a graph, two edges with no endpoint in common can
be\emphcrossing,\emphnested, or\emphdisjoint. A\emphk-stack (respectively,\emphk …

Shallow minors, graph products, and beyond-planar graphs

R Hickingbotham, DR Wood - SIAM Journal on Discrete Mathematics, 2024 - SIAM
The planar graph product structure theorem of Dujmović et al.[J. ACM, 67 (2020), 22] states
that every planar graph is a subgraph of the strong product of a graph with bounded …

[HTML][HTML] Characterisations and examples of graph classes with bounded expansion

J Nešetřil, PO de Mendez, DR Wood - European Journal of Combinatorics, 2012 - Elsevier
Classes with bounded expansion, which generalise classes that exclude a topological
minor, have recently been introduced by Nešetřil and Ossona de Mendez. These classes …

[HTML][HTML] Layered separators in minor-closed graph classes with applications

V Dujmović, P Morin, DR Wood - Journal of Combinatorial Theory, Series B, 2017 - Elsevier
Graph separators are a ubiquitous tool in graph theory and computer science. However, in
some applications, their usefulness is limited by the fact that the separator can be as large …

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 …