𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On k-planar crossing numbers

✍ Scribed by Farhad Shahrokhi; Ondrej Sýkora; László A. Székely; Imrich Vrt’o


Book ID
108112576
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
197 KB
Volume
155
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Crossing numbers of sequences of graphs
✍ Benny Pinontoan; R. Bruce Richter 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 105 KB

## Abstract We describe a method of creating an infinite family of crossing‐critical graphs from a single small planar map, the __tile__, by gluing together many copies of the tile together in a circular fashion. This method yields all known infinite families of __k__‐crossing‐critical graphs. Furt

On stable crossing numbers
✍ Paul C. Kainen; Arthur T. White 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 253 KB

## Abstract Results giving the exact crossing number of an infinite family of graphs on some surface are very scarce. In this paper we show the following: for __G__ = __Q__~__n__~ × __K__~4.4~, cr~__y__(__G__)‐__m__~(__G__) = 4__m__, for 0 ⩽ = __m__ ⩽ 2^__n__^. A generalization is obtained, for cer

New Bounds on Crossing Numbers
✍ Pach, J.; Spencer, J.; Tóth, G. 📂 Article 📅 2000 🏛 Springer 🌐 English ⚖ 141 KB
Degenerate Crossing Numbers
✍ János Pach; Géza Tóth 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 256 KB