Title
On diameter 2-critical graphs
Abstract
A graph is diameter 2-critical if the graph has diameter 2 and the deletion of any edge increased its diameter. We prove that if G is diameter 2-critical graph on n vertices and e edges, then (i) e⩽[ 1 4 n 2 ] for n⩽24, and (ii) e< 1 4 n 2 + (n 2 - 16.2n + 56)/320 (<0.2532 n 2 ), for n ⩾25 .
Year
DOI
Venue
1987
10.1016/0012-365X(87)90174-9
Discrete Mathematics
Keywords
Field
DocType
diameter 2-critical graph
Graph theory,Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Mathematics,Critical graph
Journal
Volume
Issue
ISSN
67
3
Discrete Mathematics
Citations 
PageRank 
References 
20
3.58
1
Authors
1
Name
Order
Citations
PageRank
Genghua Fan141265.22