๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On elements in small cocircuits in minimally k-connected graphs and matroids

โœ Scribed by Talmage James Reid; Haidong Wu


Book ID
108315673
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
107 KB
Volume
243
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On contractible and vertically contracti
โœ Haidong Wu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1000 KB

An edge e in a 3-connected graph G is contractible if the contraction G/e is still 3-connected. The problem of bounding the number of contractible edges in a 3-connected graph has been studied by numerous authors. In this paper, the corresponding problem for matroids is considered and new graph res

Contractible elements in k-connected gra
โœ Shinya Fujita; Ken-ichi Kawarabayashi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 162 KB

In [15] , Thomassen proved that any triangle-free k-connected graph has a contractible edge. Starting with this result, there are several results concerning the existence of contractible elements in k-connected graphs which do not contain specified subgraphs. These results extend

A remark on the number of vertices of de
โœ Mao-cheng Cai ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 395 KB

Let G be a minimally k-edge-connected simple graph and u\*(G) be the number of vertices of degree k in G. proved that (i) uk(G) 2 l(jGl -1)/(2k + l)] + k + 1 for even k, and (ii) uI(G) 2 [lGl/(k + l)] + k for odd k 35 and u,(G) 2 lZlGl/(k + l)] + k -2 for odd k 27, where ICI denotes the number of v