Homothetic triangle representations of planar graphs
نویسندگان
چکیده
منابع مشابه
Homothetic Triangle Contact Representations of Planar Graphs
In this paper we study the problem of computing homothetic triangle contact representations of planar graphs. Since not all planar graphs admit such a representation, we concentrate on meaningful subfamilies of planar graphs and prove that: (i) every two-terminal seriesparallel digraph has a homothetic triangle contact representation, which can be computed in linear time; (ii) every partial pla...
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A touching triangle graph (TTG) representation of a planar graph is a planar drawing Γ of the graph, where each vertex is represented as a triangle and each edge e is represented as a side contact of the triangles that correspond to the end vertices of e. We call Γ a proper TTG representation if Γ determines a tiling of a triangle, where each tile corresponds to a distinct vertex of the input g...
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Oriented graphs are directed graphs without opposite arcs. In other words an oriented graph is an orientation of an undirected graph, obtained by assigning to every edge one of the two possible orientations. IfG is a graph, V (G) denotes its vertex set, E(G) denotes its set of edges (or arcs if G is an oriented graph) and F (G) denotes its set of faces if G is planar. A homomorphism from an ori...
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ژورنال
عنوان ژورنال: Journal of Graph Algorithms and Applications
سال: 2019
ISSN: 1526-1719
DOI: 10.7155/jgaa.00509