𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On k-leaf-connected graphs

✍ Scribed by M.A Gurgel; Y Wakabayashi


Book ID
103506933
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
703 KB
Volume
41
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On k-leaf connectivity of a random graph
✍ Thomasz Luczak πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 367 KB

We prove that, in a random graph with n vertices and N = cn log n edges, the subgraph generated by a set of all vertices of degree at least k + 1 is k-leaf connected for c > f . A threshold function for k-leaf connectivity is also found. ## 1. MAIN RESULTS Let G = (V(G),E(G)) be a graph, where V (

Critically (k, k)-connected graphs
✍ Kiyoshi Ando; Yoko Usami πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 359 KB
On k-critical, n-connected graphs
✍ Stephen Maurer; Peter J. Slater πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 718 KB

A graph G which iit n-connected (but not (I! I)-connected) is defined ro be k-xitical if for every S 6; V(G), where f S i d k. the connectivity of G -I S is h -/S ia We will say that G is an (n\*,k\*) graph if G is n-conneckxt (b:lt nat (n t Itconnected) and k-crirical (hut not (k c l)criticaf). Thi

The Connectivities of Leaf Graphs of 2-C
✍ Atsushi Kaneko; Kiyoshi Yoshimoto πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 286 KB

Given a connected graph G, denote by V the family of all the spanning trees of G. Define an adjacency relation in V as follows: the spanning trees t and t$ are said to be adjacent if for some vertex u # V, t&u is connected and coincides with t$&u. The resultant graph G is called the leaf graph of G.

k-shredders in k-connected graphs
✍ Yoshimi Egawa πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 184 KB πŸ‘ 1 views

## Abstract For a graph __G__, a subset __S__ of __V__(__G__) is called a shredder if __G__β€‰βˆ’β€‰__S__ consists of three or more components. We show that if __k__ β‰₯ 4 and __G__ is a __k__‐connected graph, then the number of shredders of cardinality __k__ of __G__ is less than 2|__V__(__G__)|/3 (we sho

Minimally (k, k)-edge-connected graphs
✍ Kamal Hennayake; Hong-Jian Lai; Deying Li; Jingzhong Mao πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 138 KB πŸ‘ 1 views

## Abstract For an integer __l__ > 1, the __l__‐edge‐connectivity of a connected graph with at least __l__ vertices is the smallest number of edges whose removal results in a graph with __l__ components. A connected graph __G__ is (__k__, __l__)‐edge‐connected if the __l__‐edge‐connectivity of __G_