Title
Constructive Upper Bounds for Cycle-Saturated Graphs of Minimum Size
Abstract
A graph G is said to be C-l-saturated if G contains no cycle of length l, but for any edge in the complement of G the graph G + e does contain a cycle of length l. The minimum number of edges of a C-l-saturated graph was shown by Barefoot et al. to be between n+c(1) n/l and n+c(2) nl for some positive constants c(1) and c(2). This confirmed a conjecture of Bollobas. Here we improve the value of c(2) for l >= 8.
Year
Venue
Keywords
2006
ELECTRONIC JOURNAL OF COMBINATORICS
upper bound
Field
DocType
Volume
Graph,Discrete mathematics,Combinatorics,Constructive,Conjecture,Mathematics
Journal
13.0
Issue
ISSN
Citations 
1.0
1077-8926
9
PageRank 
References 
Authors
0.79
6
3
Name
Order
Citations
PageRank
Ronald J. Gould164194.81
Tomasz Luczak2596130.60
John Schmitt3131.41