22 search results - page 2 / 5 » On the largest eigenvalue of non-regular graphs |
JCT
2007
13 years 7 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
2004
Springer
13 years 7 months ago
2004
Springer
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
EJC
2010
13 years 7 months ago
2010
A Shilla distance-regular graph (say with valency k) is a distance-regular graph with diameter 3 such that its second largest eigenvalue equals to a3. We will show that a3 divide...
STOC
2003
ACM
14 years 7 months ago
2003
ACM
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
CORR
2010
Springer
13 years 4 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 ...