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Abelian JSJ decomposition of graphs of free abelian groups
Abelian JSJ decomposition graphs of free abelian groups
2011/1/19
A group G is a vGBS group if it admits a decomposition as a fi-nite graph of groups with all edge and vertex groups finitely generated and free abelian. We construct the JSJ decomposition of a vGBS gr...
We consider the graph together with the arbitrary partition of its vertex set into n subsets (n-partitioned graph). On the set of $n$-partitioned graphs distinguished up to isomorphism we define the b...
A path in an edge-colored graph, where adjacent edges may be colored the same, is a rainbow path if no two edges of it are colored the same. A nontrivial connected graph $G$ is rainbow connected if th...
Logarithmic potential beta-ensembles and Feynman graphs
Logarithmic potential beta-ensembles Feynman graphs
2010/12/14
We present the diagrammatic technique for calculating the free energy of the matrix eigenvalue
model (the model with arbitrary power β by the Vandermonde) to all orders of 1/N expansion in
the case ...
One-regular normal Cayley graphs on dihedral groups of valency 4 or 6 with cyclic vertex stabilizer
one-regular graph Cayley graph dihedral group half-transitive graph
2007/12/10
A graph $G$ is $one$-$regular$ if its automorphism group ${\rm Aut}(G)$ acts transitively and semi-regularly on the arc set. A Cayley graph ${\rm Cay}(\Gamma,S)$ is {\it normal} if $\Gamma$ is a norma...