𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Covering vertices by cycles

✍ Scribed by Mekkia Kouider


Book ID
102893210
Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
900 KB
Volume
18
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

β€œIf G is a 2‐connected graph with n vertices and minimum degree d, then the vertices of G can be covered by less than n/d cycles. This settles a conjecture of Enomoto, Kaneko and Tuza for 2‐connected graphs.”


πŸ“œ SIMILAR VOLUMES


Covering the vertices of a graph by cycl
✍ D. Amar; I. Fournier; A. Germa πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 321 KB

The main theorem of that paper is the following: let G be a graph of order n, of size at least (nZ -3n + 6 ) / 2 . For any integers k, n,, n2,. . . , nk such that n = n, + n2 + ... + nk and n, 2 3, there exists a covering of the vertices of G by disjoint cycles (C,),=,..,k with ICjl = n,, except whe

Covering Graphs by Cycles
✍ Fan, Genghua πŸ“‚ Article πŸ“… 1992 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 687 KB
Cycles through specified vertices
✍ BΓ©la BollobΓ‘s; Graham Brightwell πŸ“‚ Article πŸ“… 1993 πŸ› Springer-Verlag 🌐 English βš– 552 KB