Results 11 to 20 of about 46,383 (144)
Bend-optimal orthogonal drawings of triconnected plane graphs
AKCE International Journal of Graphs and Combinatorics, 2018 A drawing of a plane graph G in which each edge is represented by a sequence of alternating horizontal and vertical line segments is called an orthogonal drawing.
Siddharth Bhatia, Kunal Lad, Rajiv Kumar
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-shaped point set embeddings of high-degree plane graphs
AKCE International Journal of Graphs and Combinatorics, 2020 A point set embedding of a given plane graph on a given point set on a plane is a drawing of where each vertex is drawn on a point in . An orthogonal point set embedding of a plane graph is a point set embedding of such that each edge is drawn as a ...
Shaheena Sultana, Md. Saidur Rahman
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Discrete Mathematics & Theoretical Computer Science, 2004 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 each pair of colour classes no two monochromatic edges cross.
Vida Dujmović +2 more
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Annular and pants thrackles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A thrackle is a drawing of a graph in which each pair of edges meets precisely once. Conway's Thrackle Conjecture asserts that a thrackle drawing of a graph on the plane cannot have more edges than vertices.
Grace Misereh, Yuri Nikolayevsky
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Minimal Graphs with Respect to Geometric Distance Realizability
Discussiones Mathematicae Graph Theory, 2021 A graph G is minimal non-unit-distance graph if there is no drawing of G in Euclidean plane having all edges of unit length, but, for each edge e of G, G − e has such a drawing.
Madaras Tomáš, Široczki Pavol
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A Mixed-Integer Program for Drawing Orthogonal Hyperedges in a Hierarchical Hypergraph
Mathematics, 2022 This paper presents a new formulation and solution of a mixed-integer program for the hierarchical orthogonal hypergraph drawing problem, and the number of hyperedge crossings is minimized. The novel feature of the model is in combining several stages of
Gregory Fridman +3 more
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The structure and the list 3-dynamic coloring of outer-1-planar graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 An outer-1-planar graph is a graph admitting a drawing in the plane so that all vertices appear in the outer region of the drawing and every edge crosses at most one other edge.
Yan Li, Xin Zhang
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On Linear Layouts of Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 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-queue, \emphk-arch) \emphlayout of a graph consists of a total order of the ...
Vida Dujmović, David R. Wood
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Stacks, Queues and Tracks: Layouts of Graph Subdivisions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 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 with respect to the vertex ordering.
Vida Dujmović, David R. Wood
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On edge-intersection graphs of k-bend paths in grids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 Edge-intersection graphs of paths in grids are graphs that can be represented such that vertices are paths in a grid and edges between vertices of the graph exist whenever two grid paths share a grid edge. This type of graphs is motivated by applications
Therese Biedl, Michal Stern
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