The density formula: One lemma to bound them all

M Kaufmann, B Klemz, K Knorr, MM Reddy… - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce the Density Formula for (topological) drawings of graphs in the plane or on the
sphere, which relates the number of edges, vertices, crossings, and sizes of cells in the …

Min-k-planar Drawings of Graphs

C Binucci, A Büngener, G Di Battista, W Didimo… - … Symposium on Graph …, 2023 - Springer
The study of nonplanar drawings of graphs with restricted crossing configurations is a well-
established topic in graph drawing, often referred to as beyond-planar graph drawing. One …

Graphs Drawn with Some Vertices per Face: Density and Relationships

C Binucci, G Di Battista, W Didimo, V Dujmović… - IEEE …, 2024 - ieeexplore.ieee.org
Graph drawing beyond planarity is a research area that has received an increasing attention
in the last twenty years, driven by the necessity to mitigate the visual complexity inherent in …

图着色问题的算法研究综述.

宋家欢, 王晓峰, 胡思敏, 贾璟伟… - Journal of Computer …, 2024 - search.ebscohost.com
图着色问题(graph coloring problem, GCP) 是一个经典的组合优化问题, 已广泛应用于数学,
计算机科学和生物科学等多个领域. 由于图着色问题的NP 难特性, 目前还没有多项式时间内的 …

On the Complexity of Recognizing k^+-Real Face Graphs

MA Bekos, G Di Battista, E Di Giacomo… - … on Graph Drawing …, 2024 - drops.dagstuhl.de
A nonplanar drawing Γ of a graph G divides the plane into topologically connected regions,
called faces (or cells). The boundary of each face is formed by vertices, crossings, and edge …

Min--planar Drawings of Graphs

C Binucci, A Büngener, G Di Battista, W Didimo… - Journal of Graph …, 2024 - jgaa.info
The study of nonplanar drawings of graphs with restricted crossing configurations is a well-
established topic in graph drawing, often referred to as beyond-planar graph drawing. One …

[PDF][PDF] 4.3 Recognizing k+-real Face Graphs

MA Bekos, G Di Battista, E Di Giacomo… - Beyond-Planar Graphs … - drops.dagstuhl.de
A nonplanar drawing Γ of a graph G divides the plane into topologically connected regions,
called faces (or cells). The boundary of each face is formed by vertices/crossings and edges …