Title
Radius, diameter, and minimum degree
Abstract
We give asymptotically sharp upper bounds for the maximum diameter and radius of (i) a connected graph, (ii) a connected trangle-free graph, (iii) a connected C4-free graph with n vertices and with minimum degree δ, where n tends to infinity. Some conjectures for Kr-free graphs are also stated.
Year
DOI
Venue
1989
10.1016/0095-8956(89)90066-X
J. Comb. Theory, Ser. B
Keywords
Field
DocType
diameter,radius
Graph theory,Strength of a graph,Discrete mathematics,Combinatorics,k-vertex-connected graph,k-edge-connected graph,Degree (graph theory),Distance-regular graph,Connectivity,Mathematics,Path graph
Journal
Volume
Issue
ISSN
47
1
0095-8956
Citations 
PageRank 
References 
38
4.49
0
Authors
4
Name
Order
Citations
PageRank
P Erdös1626190.85
János Pach22366292.28
Richard Pollack3384.49
Zsolt Tuza41889262.52