In this paper we introduce a new order on the set of n-dimensional tuples and prove that this order preserves nestedness in the edge isoperimetric problem for the graph Pn, defined as the nth cartesian power of the well-known Petersen graph. The cutwidth and wirelength of Pn are also derived. These results are then generalized for the cartesian product of Pn and the m-dimensional binary hypercube
For a general family of graphs on Zn, we translate the edge-isoperimetric problem into a continuous ...
It has been recently proved that the connectivity of distance regular graphs is the degree of the ...
AbstractWe introduce some equivalence relations on graphs and posets and prove that they are closed ...
In this paper we introduce a new order on the set of n-dimensional tuples and prove that this order ...
We consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of our objec...
AbstractWe consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of ou...
AbstractWe introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has...
We survey results on edge isoperimetric problems on graphs, present some new results and show some a...
We survey results on edge isoperimetric problems on graphs, present some new results and show some a...
AbstractWe introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has...
AbstractThe edge-isoperimetric problem has long been solved for cartesian powers of the cycles C3 an...
AbstractWe consider the vertex-isoperimetric problem (VIP) for cartesian powers of a graph G. A tota...
AbstractWe extend the well-known edge-isoperimetric inequality of Harper, Bernstein and Hart to tern...
AbstractWe consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of ou...
We introduce some equivalence relations on graphs and posets and prove that they are closed under th...
For a general family of graphs on Zn, we translate the edge-isoperimetric problem into a continuous ...
It has been recently proved that the connectivity of distance regular graphs is the degree of the ...
AbstractWe introduce some equivalence relations on graphs and posets and prove that they are closed ...
In this paper we introduce a new order on the set of n-dimensional tuples and prove that this order ...
We consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of our objec...
AbstractWe consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of ou...
AbstractWe introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has...
We survey results on edge isoperimetric problems on graphs, present some new results and show some a...
We survey results on edge isoperimetric problems on graphs, present some new results and show some a...
AbstractWe introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has...
AbstractThe edge-isoperimetric problem has long been solved for cartesian powers of the cycles C3 an...
AbstractWe consider the vertex-isoperimetric problem (VIP) for cartesian powers of a graph G. A tota...
AbstractWe extend the well-known edge-isoperimetric inequality of Harper, Bernstein and Hart to tern...
AbstractWe consider an edge-isoperimetric problem (EIP) on the cartesian powers of graphs. One of ou...
We introduce some equivalence relations on graphs and posets and prove that they are closed under th...
For a general family of graphs on Zn, we translate the edge-isoperimetric problem into a continuous ...
It has been recently proved that the connectivity of distance regular graphs is the degree of the ...
AbstractWe introduce some equivalence relations on graphs and posets and prove that they are closed ...