We prove that the crossing number of C5 x C, is 372, which is consistent with the general conjecture that the crossing number of C,, x C, is ( m -2)n, for 3 5 m 5 n.
✦ LIBER ✦
The projective plane crossing number of C3 × Cn
✍ Scribed by Adrian Riskin
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 510 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper, we show that the projective plane crossing number of the graphs C~3~ × C~n~ is n ‐ 1 for n ≤ 5 and 2 for n = 4. As far as we can tell from the literature, this is the first infinite family of graphs whose crossing number is known on a single surface other than the plane. © 1993 John Wiley & Sons, Inc.
📜 SIMILAR VOLUMES
The crossing number ofC5 �Cn
✍
Kle??, Mari�n; Richter, R. Bruce; Stobert, Ian
📂
Article
📅
1996
🏛
John Wiley and Sons
🌐
English
⚖ 276 KB
On the crossing number ofcm �cn
✍
Salazar, Gelasio
📂
Article
📅
1998
🏛
John Wiley and Sons
🌐
English
⚖ 75 KB
which has been proved only for m ≤ 6.
A lower bound for the crossing number of
✍
Gelasio Salazar
📂
Article
📅
2000
🏛
John Wiley and Sons
🌐
English
⚖ 67 KB
👁 3 views
The crossing number of c4 × c4
✍
Alice M. Dean; R. Bruce Richter
📂
Article
📅
1995
🏛
John Wiley and Sons
🌐
English
⚖ 210 KB
We prove t h a t t h e crossing number of C4 X Ca is 8.
The number of nonseparable maps on the p
✍
Zhao-xiang Li; Li-ying Mou; Fen Lei; Jie Xu
📂
Article
📅
2010
🏛
Institute of Applied Mathematics, Chinese Academy
🌐
English
⚖ 166 KB
The splitting number of the complete gra
✍
Nora Hartsfield
📂
Article
📅
1987
🏛
Springer Japan
🌐
English
⚖ 404 KB