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CORR
2010
Springer
81views Education» more  CORR 2010»
13 years 9 months ago
On the size of identifying codes in triangle-free graphs
In an undirected graph G = (V, E), a subset C V such that C is a dominating set of G, and each vertex in V is dominated by a distinct subset of vertices from C, is called an iden...
Florent Foucaud, Ralf Klasing, Adrian Kosowski, An...
FSTTCS
2009
Springer
14 years 3 months ago
Subexponential Algorithms for Partial Cover Problems
Partial Cover problems are optimization versions of fundamental and well studied problems like Vertex Cover and Dominating Set. Here one is interested in covering (or dominating) ...
Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman...
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 8 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
DM
2007
101views more  DM 2007»
13 years 9 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
MOBIHOC
2008
ACM
14 years 8 months ago
Construction algorithms for k-connected m-dominating sets in wireless sensor networks
A Connected Dominating Set (CDS) working as a virtual backbone is an effective way to decrease the overhead of routing in a wireless sensor network. Furthermore, a kConnected m-Do...
Yiwei Wu, Yingshu Li