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On Localization of Connective Covers

✍ Scribed by Jin-yen Tai

Book ID
106245975
Publisher
Springer
Year
2000
Weight
63 KB
Volume
24
Category
Article
ISSN
0129-2021

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πŸ“œ SIMILAR VOLUMES

On local connectivity of graphs
On local connectivity of graphs
✍ Lutz Volkmann πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 151 KB

The local connectivity ΞΊ(u, v) of two vertices u and v in a graph G is the maximum number of internally disjoint u-v paths in G, and the connectivity of G is defined as } for all pairs u and v of vertices in G. Let Ξ΄(G) be the minimum degree of G. We call a graph G maximally connected when ΞΊ(G) = Ξ΄

On locally connected connectifications
On locally connected connectifications
✍ Alessandro Fedeli; Attilio Le Donne πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 49 KB

A connected Hausdorff space Y is called a connectification of a space X if X can be densely embedded in Y . This paper is a contribution to the problem of finding those spaces which have a locally connected connectification. The results obtained imply a positive answer to the following questions of

2-connected 7-coverings of 3-connected g
2-connected 7-coverings of 3-connected graphs on surfaces
✍ Ken-ichi Kawarabayashi; Atsuhiro Nakamoto; Katsuhiro Ota πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 116 KB πŸ‘ 1 views

## Abstract An __m__‐__covering__ of a graph __G__ is a spanning subgraph of __G__ with maximum degree at most __m__. In this paper, we shall show that every 3‐connected graph on a surface with Euler genus __k__ β‰₯ 2 with sufficiently large representativity has a 2‐connected 7‐covering with at most