Peer-to-Peer (P2P) applications typically use overlay networks to forward the content queries. However, due to the distributed fashion of the overlay establishment, the overlay ne...
For a set X of vertices of a graph fulfilling local connectedness conditions the existence of a cycle containing X is proved. AMS classification: 05C38, 05C45, 05C35
Given two 3-connected graphs G and H, a construction sequence constructs
G from H (e. g. from the K4) with three basic operations, called
the Barnette-Grünbaum operations. These...
We examine the generic local and global rigidity of various graphs in Rd . Bruce Hendrickson showed that some necessary conditions for generic global rigidity are (d + 1)-connected...