[HTML][HTML] 1-page and 2-page drawings with bounded number of crossings per edge

C Binucci, E Di Giacomo, MI Hossain… - European Journal of …, 2018 - Elsevier
… depend on the number of … crossings per edge in both 1 -page and 2 -page drawings. We
then prove that if the vertex degree is bounded by Δ , every planar 3-tree has a 2 -page drawing

Crossing minimization for 1-page and 2-page drawings of graphs with bounded treewidth

MJ Bannister, D Eppstein - Graph Drawing: 22nd International Symposium …, 2014 - Springer
… of edges in a k-page graph drawing can cross each other. … We define a 2-page crossing
diagram to be a 1-page crossing … a 2-page crossing diagram we define the crossing number to …

1-page and 2-page drawings with bounded number of crossings per edge

C Binucci, E Di Giacomo, MI Hossain… - International Workshop on …, 2015 - Springer
… on the number of the … k crossings per edge in either a 1-page or a 2-page drawing. We
then prove that if the vertex degree is bounded by \(\varDelta \), every planar 3-tree has a 2-page

1-Page and 2-Page Drawings with Bounded Number of Crossings per Edge

G Liotta - … Algorithms: 26th International Workshop, IWOCA 2015 …, 2016 - books.google.com
… require more than k crossings per edge in either a 1-page or a 2-page drawing. We then …
bounded by Δ , every planar 3-tree has a 2-page drawing with a number of crossings per edge

Crossing minimisation heuristics for 2-page drawings

H He, O Sýkora, I Vrt'o - Electronic Notes in Discrete Mathematics, 2005 - Elsevier
… -page crossing number of a graph G provides an upper bound for … we define each edge in
adjacency matrix with the number of … heuristic algorithms based on the latest 1-page drawing

Improved Lower Bounds for the 2-Page Crossing Numbers of and via Semidefinite Programming

E de Klerk, DV Pasechnik - SIAM Journal on Optimization, 2012 - SIAM
… the exact 1-page and 2-page crossing numbers of several … a 2-page drawing D of Kn with
ν2(Kn) edge crossings. Let G … lower bounding the number of crossings in any 2-page drawing

Fixed-parameter tractability for book drawing with bounded number of crossings per edge

Y Liu, Y Li, J Huang - Algorithmic Aspects in Information and Management …, 2021 - Springer
… Since 2-page book embedding is NP-complete [10], there … kinds of 1-page graphs, by which
two upper bound functions of … book drawing with a bounded number of crossings per edge […

Parameterized algorithms for fixed-order book drawing with bounded number of crossings per edge

Y Liu, J Chen, J Huang - International Conference on Combinatorial …, 2020 - Springer
… by both the bounded number b of crossings per edge and the vertex cover number \(\tau \) …
parameterized by both the bounded number b of crossings per edge and the pathwidth \(\…

[PDF][PDF] INVESTIGATING CROSSINGS IN BOOK DRAWINGS OF

B Sripimonwan - 2021 - scholarworks.calstate.edu
… Among other things, we closely bound the local crossing number for vertex-alternating … In
a 2-page book drawing using this model, we color the edges with red and blue. For vertices u …

Improved lower bounds on book crossing numbers of complete graphs

E de Klerk, DV Pasechnik, G Salazar - SIAM Journal on Discrete Mathematics, 2013 - SIAM
1-page drawings are circular drawings, in which the vertices are placed on a circle and all
edges … have been the first to construct 2-page drawings of Kn with Z2(n) crossings. In the same …