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» Vertex partitions of chordal graphs
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COCOON
2005
Springer
14 years 1 months ago
Power Domination Problem in Graphs
To monitor an electric power system by placing as few phase measurement units (PMUs) as possible is closely related to the famous vertex cover problem and domination problem in gr...
Chung-Shou Liao, Der-Tsai Lee
ARSCOM
1999
57views more  ARSCOM 1999»
13 years 7 months ago
Minimal Partitions of a Graph
For a given graph G, we fix s, and partition the vertex set into s classes, so that any given class contains few edges. The result gives a partition (U1,
Thomas Dale Porter
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 9 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...
ICALP
2010
Springer
14 years 10 days ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
ARSCOM
2002
70views more  ARSCOM 2002»
13 years 7 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...