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JCT
1998
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13 years 11 months ago
On Posets whose Products are Macaulay
If P is an upper semilattice whose Hasse diagram is a tree and whose cartesian powers are Macaulay, it is shown that Hasse diagram of P is actually a spider in which all the legs ...
Sergei L. Bezrukov
DM
2008
58views more  DM 2008»
13 years 11 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
14 years 3 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