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ICDE
2011
IEEE
263views Database» more  ICDE 2011»
12 years 11 months ago
Adding regular expressions to graph reachability and pattern queries
—It is increasingly common to find graphs in which edges bear different types, indicating a variety of relationships. For such graphs we propose a class of reachability queries ...
Wenfei Fan, Jianzhong Li, Shuai Ma, Nan Tang, Ying...
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 7 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 8 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
ASUNAM
2010
IEEE
13 years 9 months ago
Fast Discovery of Reliable Subnetworks
Abstract--We present a novel and efficient algorithm, PATH COVERING, for solving the most reliable subgraph problem. A reliable subgraph gives a concise summary of the connectivity...
Petteri Hintsanen, Hannu Toivonen, Petteri Sevon
ENDM
2000
121views more  ENDM 2000»
13 years 7 months ago
Finding the chromatic number by means of critical graphs
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
Francine Herrmann, Alain Hertz