𝔖 Bobbio Scriptorium
✦   LIBER   ✦

3-restricted connectivity of graphs with given girth

✍ Scribed by Li-tao Guo; Ji-xiang Meng


Book ID
107500867
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2008
Tongue
English
Weight
164 KB
Volume
23
Category
Article
ISSN
1005-1031

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Connectivity of graphs with given girth
✍ C. Balbuena; M. Cera; A. DiΓ‘nez; P. GarcΓ­a-VΓ‘zquez; X. Marcote πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 171 KB
Graphs and digraphs with given girth and
✍ Jiping Liu; ; Huishan Zhou πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 230 KB

In this paper, we show that for any given two positive integers g and k with g > 3, there exists a graph (digraph) G with girth g and connectivity k. Applying this result, we give a negative answer to the problem proposed by M. Junger, G. Reinelt and W.R Pulleyblank (1985).

Regular graphs with given girth pair
✍ Frank Harary; Peter KovΓ‘cs πŸ“‚ Article πŸ“… 1983 πŸ› John Wiley and Sons 🌐 English βš– 453 KB πŸ‘ 1 views

## Abstract The girth pair of a graph gives the length of a shortest odd and a shortest even cycle. The existence of regular graphs with given degree and girth pair is proved and simple bounds for their smallest order are developed. Several infinite classes of such graphs are constructed and it is

Graphs with given connectivity propertie
✍ Lawrencenko, Serge; Luo, Qiang πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 98 KB

A node of a graph G, thought of as representing a communication network, is said to be redundant provided that its removal does not diminish the connectivity. In constructing networks, we require reliable connectedness in addition to the usual requirement of reliability (i.e., the higher the connect