4 search results - page 1 / 1 » Edge isoperimetric inequalities for product graphs |
DM
2000
13 years 4 months ago
2000
It is well known that there is a simple equivalence between isoperimetric inequalities and certain analytic inequalities in Riemannian manifolds (see Rothaus, J. Funct. Anal. 64 (...
CPC
1998
13 years 4 months ago
1998
We give a characterization for isoperimetric invariants, including the Cheeger constant and the isoperimetric number of a graph. This leads to an isoperimetric inequality for the ...
WG
2001
Springer
13 years 9 months ago
2001
Springer
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...
COMBINATORICS
2000
13 years 4 months ago
2000
Let (G) denote the domination number of a graph G and let G H denote the Cartesian product of graphs G and H. We prove that (G)(H) 2(G H) for all simple graphs G and H. 2000 Math...