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WG
2001
Springer
13 years 9 months ago
Edge-Isoperimetric Problems for Cartesian Powers of Regular Graphs
We consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of our objectives is to extend the list of graphs for whose cartesian powers the lexicograph...
Sergei L. Bezrukov, Robert Elsässer
DM
2008
58views more  DM 2008»
13 years 4 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
SIAMDM
2008
113views more  SIAMDM 2008»
13 years 4 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 ...
NJC
2000
99views more  NJC 2000»
13 years 4 months ago
An Incremental Unique Representation for Regular Trees
In order to deal with infinite regular trees (or other pointed graph structures) efficiently, we give new algorithms to store such structures. The trees are stored in such a way th...
Laurent Mauborgne
ICDE
2011
IEEE
263views Database» more  ICDE 2011»
12 years 8 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...