Titlebook: Beyond Planar Graphs; Communications of NI Seok-Hee Hong,Takeshi Tokuyama Book 2020 Springer Nature Singapore Pte Ltd. 2020 Graph Algorithm

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https://doi.org/10.1007/978-1-349-27478-9clude .-planar graph, .-quasiplanar graphs, .-gap-planar graphs, and .-locally planar graphs. The chapter reviews typical proof techniques, upper and lower bounds on the number of edges in these classes, as well as recent results on containment relations between these classes, and concludes with a c

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Introduction to Project Finance,rded as the simplest town maps. Now, we consider a town having some pedestrian bridges, which cannot be realized by a plane graph. Its underlying graph can actually be regarded as a 1-. graph. The notion of 1-plane and 1-. graphs was first introduced by Ringel in connection with the problem of simul

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https://doi.org/10.1007/978-3-030-96390-3ete. This chapter reviews the algorithmic results on 1-planar graphs. We first review a linear time algorithm for testing maximal 1-planarity of a graph if a . (i.e., the circular ordering of edges for each vertex) is given. A graph is . if the addition of an edge destroys 1-planarity. Next, we sket

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Peer Stolle,Tobias Singelnsteinct graph is called .-. if it is isomorphic to a .-planar topological graph, i.e., if it can be drawn on the plane with at most . crossings per edge. While planar and 1-planar graphs have been extensively studied in the literature and their structure has been well understood, this is not the case for