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» Obtaining a Planar Graph by Vertex Deletion
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ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
14 years 29 days ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
JGT
2008
103views more  JGT 2008»
13 years 7 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu
SWAT
2004
Springer
171views Algorithms» more  SWAT 2004»
14 years 24 days ago
Connectivity of Graphs Under Edge Flips
We study the following problem: Given a set V of n vertices and a set E of m edge pairs, we define a graph family G(V, E) as the set of graphs that have vertex set V and contain ...
Norbert Zeh
ISAAC
2010
Springer
230views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Seidel Minor, Permutation Graphs and Combinatorial Properties
A permutation graph is an intersection graph of segments lying between two parallel lines. A Seidel complementation of a finite graph at a vertex v consists in complementing the ed...
Vincent Limouzy
CORR
2012
Springer
249views Education» more  CORR 2012»
12 years 3 months ago
Computing Cartograms with Optimal Complexity
We show how to compute cartograms with worst-case optimal polygonal complexity. Specifically we study rectilinear duals which are side-contact representations of a planar graph G ...
Md. Jawaherul Alam, Therese C. Biedl, Stefan Felsn...