Title
The maximum number of edges in a graph with fixed edge-degree
Abstract
Suppose that n ⩾ 2 t + 2 ( t ⩾ 17). Let G be a graph with n vertices such that its complement is connected and, for all distinct non-adjacent vertices u and v , there are at least t common neighbours. Then we prove that |E(G)|≥⌈ (2t+1)n−2t 2 -3) 2 (n≤3t−1) and |E(G)z.sfnc;≥(t+1)n−t 2 −t−3 (n≥3t). Furthermore, the results are sharp.
Year
DOI
Venue
1998
10.1016/S0012-365X(97)00078-2
Discrete Mathematics
Keywords
Field
DocType
maximum number,fixed edge-degree
Graph,Discrete mathematics,Combinatorics,Bound graph,Vertex (geometry),Mathematics,Path graph
Journal
Volume
Issue
ISSN
183
1-3
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
R. J. Faudree117438.15
J. Sheehan200.34