Results 121 to 130 of about 30,213,529 (145)

Fáry’s Theorem for 1-Planar Graphs

2012
A plane graph is a graph embedded in a plane without edge crossings. Fary’s theorem states that every plane graph can be drawn as a straight-line drawing, preserving the embedding of the plane graph. In this paper, we extend Fary’s theorem to a class of non-planar graphs.
Seok-Hee Hong 0001, Peter Eades, Giuseppe Liotta, Sheung-Hung Poon   +3 more
openaire   +2 more sources

The Matching Extendability of Optimal 1-Planar Graphs

Graphs and Combinatorics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Fujisawa, Keita Segawa, Yusuke Suzuki   +2 more
openaire   +2 more sources

The 6-degeneracy of 1-planar graphs

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingqin Wu, Weifan Wang 0001, Yiqiao Wang 0002   +2 more
openaire   +1 more source

Algorithms for 1-Planar Graphs

2020
A 1-planar graph is a graph that can be embedded in the plane with at most one crossing per edge. It is known that testing 1-planarity of a graph is NP-complete. 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 rotation system (i.e., the circular ...
openaire   +1 more source

Planar graphs that need four pages

Journal of Combinatorial Theory Series B, 2020
Mihalis Yannakakis
exaly  

Further results on random cubic planar graphs

Random Structures and Algorithms, 2020
Marc Noy, Juanjo Rue
exaly  

Adjacency Labelling for Planar Graphs (and Beyond)

Journal of the ACM, 2021
Louis Espéret, Vida Dujmovic, Piotr Micek   +2 more
exaly  

DP-3-coloring of some planar graphs

Discrete Mathematics, 2019
Gexin Yu, Runrun Liu
exaly  

Fuzzy Planar Graphs

IEEE Transactions on Fuzzy Systems, 2015
Sovan Samanta, Madhumangal Pal
exaly  

Gap-planar graphs

Theoretical Computer Science, 2018
Kord Eickmeyer, Fabrizio Montecchiani, Luca Grilli   +2 more
exaly