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SIAMDM
2008
113views more  SIAMDM 2008»
13 years 5 months ago
Power Domination in Product Graphs
The power system monitoring problem asks for as few as possible measurement devices to be put in an electric power system. The problem has a graph theory model involving power dom...
Paul Dorbec, Michel Mollard, Sandi Klavzar, Simon ...
JGT
2010
158views more  JGT 2010»
13 years 3 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 9 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
WG
2010
Springer
13 years 3 months ago
max-cut and Containment Relations in Graphs
book Author Title 58 Bijo S Anand Atoms and clique separators in graph products 59 Asir T Domination in total graph of a commutative ring 60 Sharada B On the Neighbourhood Subdivi...
Marcin Kaminski