We consider classes of simple 3-polytopal graphs whose edges are incident with either two 5-gons or a 5-gon and a q-gon (q > 5). We show that the shortness coefficient is less than one for all q 1> 28, settle a question raised by Jendrol and Tk~i~ in a recent paper in this journal and prove that all
✦ LIBER ✦
An example of a cubic graph with two orbits and simple eigenvalue √3
✍ Scribed by Manfred Schulz
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 174 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
The question whether there exist cubic graphs with two orbits and simple eigenvalues *tJ;j is answered in the affirmative; the minimum number of vertices of such graphs is equal to 32.
📜 SIMILAR VOLUMES
Simple 3-polytopal graphs with edges of
✍
P.J Owens
📂
Article
📅
1986
🏛
Elsevier Science
🌐
English
⚖ 468 KB
Pseudogeometries with clusters and an ex
✍
V. T. Markov; A. A. Nechaev; S. S. Skazhenik; E. O. Tveritinov
📂
Article
📅
2009
🏛
Springer US
🌐
English
⚖ 149 KB
Measurement of linear and cubic spin–orb
✍
H. Cheng; N. Biyikli; Ü. Özgür; Ç. Kurdak; H. Morkoç; V.I. Litvinov
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 309 KB
Coupling of two alkynes with a carbon an
✍
Daniel Heineke; Heinrich Vahrenkamp
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 493 KB
First Example of a Tin(II) Oxy-Phosphate
✍
Srinivasan Natarajan; Anthony K. Cheetham
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 336 KB
The synthesis and structure of an open-framework material based on tin(II) oxyphosphate is described: [NH 4 ] ؉ [(Sn 3 O) 2 (PO 4 ) 3 ] ؊ ; colorless; space group ؍ Pbcn(C C60); a ؍ 6.7963(2); b ؍ 19.6000(4); c ؍ 12.5777(4) A s ; V ؍ 1675.44(12) A s 3 ; and Z ؍ 8. The structure comprises
DIALOG and ORBIT IV: a practice oriented
📂
Article
📅
1983
🏛
Elsevier Science
🌐
English
⚖ 180 KB