4 search results - page 1 / 1 » Some Inequalities For The Largest Eigenvalue Of A Graph |
CPC
2002
13 years 4 months ago
2002
Let (G) be the largest eigenvalue of the adjacency matrix of a graph G: We show that if G is Kp+1-free then (G) r 2 p 1 p e (G): This inequality was ...rst conjectured by Edwards ...
DM
1999
13 years 4 months ago
1999
Let G be a simple graph with n( 2) vertices, and i(G) be the ith largest eigenvalue of G. In this paper we obtain the following: If 3(G) < 0, and there exists some index k, 2 ...
JCT
2007
13 years 4 months ago
2007
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
CORR
2010
Springer
13 years 1 months ago
2010
Springer
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...