William J. Lenhart, Giuseppe Liotta, and Fabrizio Montecchiani. On parti- tioning the edges of 1-planar graphs. CoRR, abs/1511.07303, 2015. URL: http://arxiv.org/abs/1511.07303.W.J. Lenhart, G. Liotta, F. Montecchiani, On partitioning the edges of 1-plane graphs, Theoret. Comput....
Then, in preparation for the proof of the main result, namely Theorem 1.1, some lemmas are presented. Finally, the proof of Theorem 1.1 is postponed to Section 3. In Section 4 we conclude with some remarks on q-planar graphs for q greater than 1....
本期专栏为 “谱图理论” 系列的第26期,将介绍耶鲁大学教授、两届哥德尔奖得主 Daniel A. Spielman 所著图书 《Spectral and Algebraic Graph Theory》(电子版链接) 第二十六章 Ch 26: Planar Graphs 2, the Co…
F. Two-dimensional vector-coupled-mode theory for textured planar waveguides. Phys. Rev. B 61, 2090–2101 (2000). Article CAS Google Scholar Pacradouni, V. et al. Photonic band structure of dielectric membranes periodically textured in two dimensions. Phys. Rev. B 62, 4204–4207 (2000)...
Spielman 所著图书 《Spectral and Algebraic Graph Theory》(电子版链接) 第二十五章 Ch 25: The Second Eigenvalue of Planar Graphs 中的内容。 本期作者 | 陈靖宇,中国人民大学高瓴人工智能学院 25.1 本节概述 谱图理论首先引起研究人员的广泛关注的原因之一是其成功地使用第二个拉普拉斯特征向量来划分平面图...
The surface material properties and subsurface structure of Dimorphos were also not directly measured. However, these target parameters are vital for understanding the impact process and for transforming the kinetic impactor method from a full-scale experiment by DART into a well-understood and reliable...
from a finite planar point set a to \({\mathbb {r}}^2\) is strongly orientation preserving if it is orientation preserving and, additionally, it maps collinear triples of a to collinear triples. order types have been studied from various perspectives. for example, a famous result of ...
Toroidal graphs K3,3-subdivisions 2-Pole networks Planar networks Edge substitution Toroidal core Structure theorem Labelled enumeration 1. Introduction We are interested in the structure of non-planar simple graphs that can be embedded on the torus. By Kuratowski's theorem [17], such a graph G...
Embedding Planar Graphs on the Grid 来自 Semantic Scholar 喜欢 0 阅读量: 104 作者: W Schnyder 摘要: Summary: We show that each plane graph of order $n \ge 3$ has a straight line embedding on the $n-2$ by $n-2$ grid. This embedding is computable in time $O(n)$. A nice ...
planar (ˈpleɪnə) adj 1.(Mathematics) of or relating to a plane 2.(Mathematics) lying in one plane; flat [C19: from Late Latinplānārison level ground, from Latinplānusflat] planarityn Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishe...