142 search results - page 2 / 29 » On the Independent Domination Number of Random Regular Graph... |
JCT
2007
13 years 5 months ago
2007
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
COMBINATORICS
2004
13 years 5 months ago
2004
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
PROPERTYTESTING
2010
13 years 3 months ago
2010
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
RSA
2006
13 years 5 months ago
2006
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
RSA
2002
13 years 4 months ago
2002