Sciweavers

26 search results - page 2 / 6
» Distinguishing Cartesian powers of graphs
Sort
View
DM
2008
58views more  DM 2008»
13 years 5 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
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
1998
73views more  DM 1998»
13 years 5 months ago
On constructing snakes in powers of complete graphs
We prove the conjecture of Abbott and Katchalski that for every m ≥ 2 there is a positive constant λm such that S(Kd mn) ≥ λmnd−1 S(Kd−1 m ) where S(Kd m) is the length o...
Jerzy Wojciechowski
INFOCOM
2002
IEEE
13 years 10 months ago
On Distinguishing between Internet Power Law Topology Generators
— Recent work has shown that the node degree in the WWW induced graph and the AS-level Internet topology exhibit power laws. Since then several algorithms have been proposed to g...
Tian Bu, Donald F. Towsley
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 ...