213 search results - page 9 / 43 » Regular subgraphs of random graphs |
DM
2008
13 years 7 months ago
2008
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
SLS
2007
Springer
14 years 1 months ago
2007
Springer
Abstract. This work presents an algorithm for the sub-graph isomorphism problem based on a new pruning technique for directed graphs. During the tree search, the method checks if a...
CPC
2007
13 years 7 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 ...
STOC
2003
ACM
14 years 8 months ago
2003
ACM
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
FOCS
2008
IEEE
14 years 2 months ago
2008
IEEE
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...