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Covering Graphs by Cycles

✍ Scribed by Fan, Genghua


Book ID
118198459
Publisher
Society for Industrial and Applied Mathematics
Year
1992
Tongue
English
Weight
687 KB
Volume
5
Category
Article
ISSN
0895-4801

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πŸ“œ SIMILAR VOLUMES


Covering vertices by cycles
✍ Mekkia Kouider πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 900 KB

## 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.”

Minimum cycle covers of graphs
✍ Fan, Genghua πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 145 KB πŸ‘ 1 views

Some new results on minimum cycle covers are proved. As a consequence, it is obtained that the edges of a bridgeless graph G can be covered by cycles of total length at most |E(G)| + 25 24 (|V (G)| -1), and at most |E(G)| + |V (G)| -1 if G contains no circuit of length 8 or 12.

Covering a graph with cycles
✍ Hong Wang πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 444 KB

## Abstract Let __k__ and __n__ be two integers such that __k__ β‰₯ 0 and __n__ β‰₯ 3(__k__ + 1). Let __G__ be a graph of order __n__ with minimum degree at least ⌈(__n__ + __k__)/2βŒ‰. Then __G__ contains __k__ + 1 independent cycles covering all the vertices of __G__ such that __k__ of them are triangl

Cycles in Graphs and Covers
✍ Dreher, Deanna πŸ“‚ Article πŸ“… 2012 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 426 KB