The accumulation of physical errors,–prevents the execution of large-scale algorithms in current quantum computers. Quantum error correction promises a solution by encoding k …
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 …
I Rutter - Beyond Planar Graphs: Communications of NII Shonan …, 2020 - Springer
Given two planar graphs G_1 G 1 and G_2 G 2 that share some vertices and edges, a simultaneous embedding with fixed edges (Sefe) is a pair of planar topological …
M Schaefer - International Symposium on Graph Drawing, 2012 - Springer
Abstract We study Hanani-Tutte style theorems for various notions of planarity, including partially embedded planarity, and simultaneous planarity. This approach brings together the …
V Dujmović, DR Wood - Discrete Mathematics & Theoretical …, 2005 - dmtcs.episciences.org
A\emphk-stack layout (respectively,\emphk-queuelayout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges …
S Cabello - Journal of Graph Algorithms and Applications, 2006 - jgaa.info
Abstract Let G=(V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the …
V Dujmovic, DR Wood - Discrete & Computational Geometry, 2007 - Springer
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical …
C Erten, SG Kobourov - International Symposium on Graph Drawing, 2004 - Springer
We present an O (n) time algorithm for simultaneous embedding of pairs of planar graphs on the O (n 2)× O (n 2) grid, with at most three bends per edge, where n is the number of …
A\emph (k, t)-track layout of a graph G consists of a (proper) vertex t-colouring of G, a total order of each vertex colour class, and a (non-proper) edge k-colouring such that between …