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Planarity testing

Known as: Graph planarity 
In graph theory, the planarity testing problem is the algorithmic problem of testing whether a given graph is a planar graph (that is, whether it can… 
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Papers overview

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2013
2013
In this paper we prove two main results about obstruction to graph planarity. One is that, if $G$ is a 3-connected graph with a… 
2007
2007
In this paper we introduce cyclic level planar graphs, which are a planar version of the recurrent hierarchies from Sugiyama et… 
2006
2006
We construct an optimal linear-time algorithm for the maximal planar subgraph problem: given a graph G, find a planar subgraph G… 
2003
2003
This paper presents a new parallel algorithm for planarity testing based upon the work of Klein and Reif [14]. Our new approach… 
2003
2003
Many algorithms exist to determine if a given graph can be embedded in a plane [G. Di Battistia et al., (1994)]. The majority of… 
2003
2003
We can visualize a graph by producing a geometric representation of the graph in which each node is represented by a single point… 
2001
2001
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs… 
1987
1987
An algorithm for k-line planarity testing of hierarchical graphs is described. If the graph is k-line planar the algorithm… 
1971
1971
An efficient algorithm is presented for determining whether or not a given graph is planar. If V is the number of vertices in the…