34 search results - page 2 / 7 » Decycling numbers of random regular graphs |
CPC
2007
13 years 5 months ago
2007
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
CPC
2007
13 years 5 months ago
2007
In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular...
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...
CPC
2002
13 years 5 months ago
2002
CAAN
2007
Springer
13 years 11 months ago
2007
Springer
In the recently introduced model for cleaning a graph with brushes, we use a degree-greedy algorithm to clean a random d-regular graph on n vertices (with dn even). We then use a d...